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WIP rewriting lattice sums part. 

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@ -8,8 +8,10 @@
pages = {3839--3863},
issn = {0024-3795},
doi = {10.1016/j.laa.2011.03.030},
url = {http://www.sciencedirect.com/science/article/pii/S0024379511002540},
urldate = {2019-08-03},
abstract = {We propose a numerical method for computing all eigenvalues (and the corresponding eigenvectors) of a nonlinear holomorphic eigenvalue problem that lie within a given contour in the complex plane. The method uses complex integrals of the resolvent operator, applied to at least k column vectors, where k is the number of eigenvalues inside the contour. The theorem of Keldysh is employed to show that the original nonlinear eigenvalue problem reduces to a linear eigenvalue problem of dimension k. No initial approximations of eigenvalues and eigenvectors are needed. The method is particularly suitable for moderately large eigenvalue problems where k is much smaller than the matrix dimension. We also give an extension of the method to the case where k is larger than the matrix dimension. The quadrature errors caused by the trapezoid sum are discussed for the case of analytic closed contours. Using well known techniques it is shown that the error decays exponentially with an exponent given by the product of the number of quadrature points and the minimal distance of the eigenvalues to the contour.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/WTJU82S7/beyn2012.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/XSR5YIQM/Beyn - 2012 - An integral method for solving nonlinear eigenvalu.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/D24EDI64/S0024379511002540.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/WTJU82S7/beyn2012.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/XSR5YIQM/Beyn - 2012 - An integral method for solving nonlinear eigenvalu.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/D24EDI64/S0024379511002540.html},
journal = {Linear Algebra and its Applications},
keywords = {Contour integrals,Nonlinear eigenvalue problems,Numerical methods},
number = {10},
@ -20,8 +22,10 @@
title = {Absorption and Scattering of Light by Small Particles},
author = {Bohren, Craig F. and Huffman, Donald R.},
year = {1983},
url = {http://adsabs.harvard.edu/abs/1983asls.book.....B},
urldate = {2014-05-09},
abstract = {Not Available},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/HES6WJTP/(Wiley science paperback series) Craig F. Bohren, Donald R. Huffman-Absorption and scattering of light by small particles-Wiley-VCH (1998).djvu},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/HES6WJTP/(Wiley science paperback series) Craig F. Bohren, Donald R. Huffman-Absorption and scattering of light by small particles-Wiley-VCH (1998).djvu},
keywords = {ABSORPTION,DUST,LIGHT SCATTERING,Particles,THEORY}
}
@ -30,10 +34,31 @@
author = {Bradley, C. J. and Cracknell, A. P.},
year = {1972},
publisher = {{Clarendon Press, Oxford}},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/SB5ZN5WH/C.J. Bradley, A.P. Cracknell - The mathematical theory of symmetry in solids_ representation theory for point groups and space groups (1972, Clarendon Press).djvu},
url = {http://gen.lib.rus.ec/book/index.php?md5=8539E3400CF65B6CC4FAC71B9DF286C5},
urldate = {2018-07-25},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/SB5ZN5WH/C.J. Bradley, A.P. Cracknell - The mathematical theory of symmetry in solids_ representation theory for point groups and space groups (1972, Clarendon Press).djvu},
isbn = {978-0-19-851920-1}
}
@article{capolino_efficient_2007,
title = {Efficient Computation of the {{3D Green}}'s Function for the {{Helmholtz}} Operator for a Linear Array of Point Sources Using the {{Ewald}} Method},
author = {Capolino, F. and Wilton, D. R. and Johnson, W. A.},
year = {2007},
month = apr,
volume = {223},
pages = {250--261},
issn = {0021-9991},
doi = {10.1016/j.jcp.2006.09.013},
url = {http://www.sciencedirect.com/science/article/pii/S0021999106004359},
urldate = {2020-04-21},
abstract = {The Ewald method is applied to accelerate the evaluation of the Green's function (GF) of an infinite equispaced linear array of point sources with linear phasing. Only a few terms are needed to evaluate Ewald sums, which are cast in terms of error functions and exponential integrals, to high accuracy. It is shown analytically that the choice of the standard ``optimal'' Ewald splitting parameter E0 causes overflow errors at high frequencies (period large compared to the wavelength), and convergence rates are analyzed. A recipe for selecting the Ewald splitting parameter is provided.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/CI7FRGTM/Capolino ym. - 2007 - Efficient computation of the 3D Green’s function f.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/MF4E95AJ/S0021999106004359.html},
journal = {Journal of Computational Physics},
keywords = {Arrays,Fast methods,Gratings,Green function,Numerical methods,Periodic structures,Series acceleration},
language = {en},
number = {1}
}
@article{castellanos_lattice_2019,
title = {Lattice Resonances in Dielectric Metasurfaces},
author = {Castellanos, Gabriel W. and Bai, Ping and G{\'o}mez Rivas, Jaime},
@ -43,8 +68,10 @@
pages = {213105},
issn = {0021-8979},
doi = {10.1063/1.5094122},
url = {https://aip.scitation.org/doi/10.1063/1.5094122},
urldate = {2019-11-14},
abstract = {We present a numerical investigation of collective resonances in lattices of dielectric nanoparticles. These resonances emerge from the enhanced radiative coupling of localized Mie resonances in the individual nanoparticles. We distinguish two similar systems: a lattice of silicon nanoparticles homogeneously embedded in a dielectric and a lattice of silicon nanoparticles in an optical waveguide. The radiative coupling is provided by diffraction orders in the plane of the array for the former system or by guided modes in the optical waveguide for the latter one. The different coupling leads to distinct lattice resonances in the metasurface defined by the array of silicon nanoparticles. These resonances have been extensively investigated in metallic nanoparticle arrays, but remain highly unexplored in fully dielectric systems. We describe the pronounced differences in the intensity enhancement and field distributions for the two systems, providing valuable information for the design and optimization of optical components based on dielectric lattice resonances.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/29I7L3MQ/Castellanos ym. - 2019 - Lattice resonances in dielectric metasurfaces.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/TGNVYN49/1.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/29I7L3MQ/Castellanos ym. - 2019 - Lattice resonances in dielectric metasurfaces.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/TGNVYN49/1.html},
journal = {Journal of Applied Physics},
number = {21}
}
@ -54,18 +81,41 @@
author = {Chew, Weng Cho and Jin, Jian-Ming and Michielssen, Eric and Song, Jiming},
year = {2000},
publisher = {{Artech House Publishers}},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/TRQY3K55/[Artech House Antennas and Propagation Library] Weng Cho Chew, Jian-Ming Jin, Eric Michielssen, Jiming Song - Fast and Efficient Algorithms in Computational Electromag.djvu},
url = {http://gen.lib.rus.ec/book/index.php?md5=2A7D2CE03DB8CFC14E7189E9A441F759},
urldate = {2019-07-31},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/TRQY3K55/[Artech House Antennas and Propagation Library] Weng Cho Chew, Jian-Ming Jin, Eric Michielssen, Jiming Song - Fast and Efficient Algorithms in Computational Electromag.djvu},
isbn = {978-1-58053-152-8},
series = {Artech {{House Antennas}} and {{Propagation Library}}}
}
@article{dellnitz_locating_2002,
title = {Locating All the Zeros of an Analytic Function in One Complex Variable},
author = {Dellnitz, Michael and Sch{\"u}tze, Oliver and Zheng, Qinghua},
year = {2002},
month = jan,
volume = {138},
pages = {325--333},
issn = {0377-0427},
doi = {10.1016/S0377-0427(01)00371-5},
url = {http://www.sciencedirect.com/science/article/pii/S0377042701003715},
urldate = {2020-04-20},
abstract = {Based on the argument principle, we propose an adaptive multilevel subdivision algorithm for the computation of all the zeros of an analytic function f:C\textrightarrow C within a bounded domain. We illustrate the reliability of this method by several numerical examples.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/N94AQS97/Dellnitz ym. - 2002 - Locating all the zeros of an analytic function in .pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/3NBRMW5T/S0377042701003715.html},
journal = {Journal of Computational and Applied Mathematics},
keywords = {Argument principle,Global zero finding},
language = {en},
number = {2}
}
@book{dresselhaus_group_2008,
title = {Group {{Theory}}: {{Application}} to the {{Physics}} of {{Condensed Matter}}},
author = {Dresselhaus, Mildred S. and Dresselhaus, Gene and Jorio, Ado},
year = {2008},
publisher = {{Springer, Berlin, Heidelberg}},
url = {//www.springer.com/us/book/9783540328971},
urldate = {2017-10-31},
abstract = {Every process in physics is governed by selection rules that are the consequence of symmetry requirements. The beauty and strength of group theory resides...},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/GFGPVB4A/Mildred_S._Dresselhaus,_Gene_Dresselhaus,_Ado_Jorio_Group_theory_application_to_the_physics_of_condensed_matter.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/E78682CJ/9783540328971.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/GFGPVB4A/Mildred_S._Dresselhaus,_Gene_Dresselhaus,_Ado_Jorio_Group_theory_application_to_the_physics_of_condensed_matter.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/E78682CJ/9783540328971.html},
isbn = {978-3-540-32899-5}
}
@ -77,8 +127,10 @@
pages = {253--287},
issn = {1521-3889},
doi = {10.1002/andp.19213690304},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.19213690304},
urldate = {2019-08-07},
copyright = {Copyright \textcopyright{} 1921 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/8J7H5EVE/ewald1921.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/TL9NGJTR/Ewald - 1921 - Die Berechnung optischer und elektrostatischer Git.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/HXX7A93Q/andp.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/8J7H5EVE/ewald1921.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/TL9NGJTR/Ewald - 1921 - Die Berechnung optischer und elektrostatischer Git.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/HXX7A93Q/andp.html},
journal = {Annalen der Physik},
language = {en},
number = {3}
@ -93,8 +145,10 @@
pages = {053102},
issn = {0003-6951, 1077-3118},
doi = {10.1063/1.4941078},
url = {http://scitation.aip.org/content/aip/journal/apl/108/5/10.1063/1.4941078},
urldate = {2016-08-25},
abstract = {We demonstrate here a strong coupling between localized surface plasmon modes in self-standing nanorods with excitons in a molecular J-aggregate layer through angular tuning. The enhanced exciton-plasmon coupling creates a Fano like line shape in the differential reflection spectra associated with the formation of hybrid states, leading to anti-crossing of the upper and lower polaritons with a Rabi frequency of 125 meV. The recreation of a Fano like line shape was found in photoluminescence demonstrating changes in the emission spectral profile under strong coupling.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/KN3V7Q7E/Fedele et al. - 2016 - Strong coupling in molecular exciton-plasmon Au na.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/D5PJ63QK/1.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/KN3V7Q7E/Fedele et al. - 2016 - Strong coupling in molecular exciton-plasmon Au na.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/D5PJ63QK/1.html},
journal = {Applied Physics Letters},
keywords = {Excitons,Gold,Nanorods,Photoluminescence,Reflectivity},
number = {5}
@ -109,13 +163,47 @@
pages = {1348--1374},
issn = {0272-4979},
doi = {10.1093/imanum/drr041},
url = {https://academic.oup.com/imajna/article/32/4/1348/654510},
urldate = {2019-07-03},
abstract = {Abstract. The celebrated truncated T-matrix method for wave propagation models belongs to a class of the reduced basis methods (RBMs), with the parameters bein},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/2CRM9IEU/ganesh2012.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/KLKJBTZU/Ganesh ym. - 2012 - Convergence analysis with parameter estimates for .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/N5H8B7SF/654510.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/2CRM9IEU/ganesh2012.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/KLKJBTZU/Ganesh ym. - 2012 - Convergence analysis with parameter estimates for .pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/N5H8B7SF/654510.html},
journal = {IMA J Numer Anal},
language = {en},
number = {4}
}
@article{guo_lasing_2019,
title = {Lasing at \${{K}}\$ {{Points}} of a {{Honeycomb Plasmonic Lattice}}},
author = {Guo, R. and Ne{\v c}ada, M. and Hakala, T. K. and V{\"a}kev{\"a}inen, A. I. and T{\"o}rm{\"a}, P.},
year = {2019},
month = jan,
volume = {122},
pages = {013901},
doi = {10.1103/PhysRevLett.122.013901},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.013901},
urldate = {2019-01-10},
abstract = {We study lasing at the high-symmetry points of the Brillouin zone in a honeycomb plasmonic lattice. We use symmetry arguments to define singlet and doublet modes at the K points of the reciprocal space. We experimentally demonstrate lasing at the K points that is based on plasmonic lattice modes and two-dimensional feedback. By comparing polarization properties to T-matrix simulations, we identify the lasing mode as one of the singlets with an energy minimum at the K point enabling feedback. Our results offer prospects for studies of topological lasing in radiatively coupled systems.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/T84XGIQP/supplemental.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/TDGW4CZ5/Guo ym. - 2019 - Lasing at $K$ Points of a Honeycomb Plasmonic Latt.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/8BW4R9F6/PhysRevLett.122.html},
journal = {Phys. Rev. Lett.},
number = {1}
}
@article{guo_lasing_2019-1,
title = {Lasing at \${{K}}\$ {{Points}} of a {{Honeycomb Plasmonic Lattice}}},
author = {Guo, R. and Ne{\v c}ada, M. and Hakala, T. K. and V{\"a}kev{\"a}inen, A. I. and T{\"o}rm{\"a}, P.},
year = {2019},
month = jan,
volume = {122},
pages = {013901},
doi = {10.1103/PhysRevLett.122.013901},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.013901},
urldate = {2019-01-10},
abstract = {We study lasing at the high-symmetry points of the Brillouin zone in a honeycomb plasmonic lattice. We use symmetry arguments to define singlet and doublet modes at the K points of the reciprocal space. We experimentally demonstrate lasing at the K points that is based on plasmonic lattice modes and two-dimensional feedback. By comparing polarization properties to T-matrix simulations, we identify the lasing mode as one of the singlets with an energy minimum at the K point enabling feedback. Our results offer prospects for studies of topological lasing in radiatively coupled systems.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/X5UTUWFQ/Guo ym. - 2019 - Lasing at $K$ Points of a Honeycomb Plasmonic Latt.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/UPXY38QD/PhysRevLett.122.html},
journal = {Phys. Rev. Lett.},
number = {1}
}
@article{hakala_boseeinstein_2018,
title = {Bose\textendash{{Einstein}} Condensation in a Plasmonic Lattice},
author = {Hakala, Tommi K. and Moilanen, Antti J. and V{\"a}kev{\"a}inen, Aaro I. and Guo, Rui and Martikainen, Jani-Petri and Daskalakis, Konstantinos S. and Rekola, Heikki T. and Julku, Aleksi and T{\"o}rm{\"a}, P{\"a}ivi},
@ -125,9 +213,11 @@
pages = {739--744},
issn = {1745-2481},
doi = {10.1038/s41567-018-0109-9},
abstract = {Surface plasmon polaritons in an array of metallic nanoparticles evolve quickly into the band minimum by interacting with a molecule bath, forming a Bose\textendash{}Einstein condensate at room temperature within picoseconds.},
url = {https://www.nature.com/articles/s41567-018-0109-9},
urldate = {2019-11-13},
abstract = {Surface plasmon polaritons in an array of metallic nanoparticles evolve quickly into the band minimum by interacting with a molecule bath, forming a Bose\textendash Einstein condensate at room temperature within picoseconds.},
copyright = {2018 The Author(s)},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/THHLXPYG/Hakala ym. - 2018 - Bose–Einstein condensation in a plasmonic lattice.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/VF4E9DUP/s41567-018-0109-9.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/THHLXPYG/Hakala ym. - 2018 - Bose–Einstein condensation in a plasmonic lattice.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/VF4E9DUP/s41567-018-0109-9.html},
journal = {Nature Phys},
language = {en},
number = {7}
@ -142,9 +232,11 @@
pages = {13687},
issn = {2041-1723},
doi = {10.1038/ncomms13687},
url = {http://www.nature.com/ncomms/2017/170103/ncomms13687/full/ncomms13687.html},
urldate = {2017-03-28},
abstract = {Plasmonic dark modes are promising candidates for lasing applications. Here, Hakalaet al. show lasing at visible wavelengths in dark and bright modes of an array of silver nanoparticles combined with optically pumped dye molecules, opening up a route to utilization of all modes of plasmonic lattices.},
copyright = {\textcopyright{} 2017 Macmillan Publishers Limited, part of Springer Nature. All rights reserved.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/73KCXGAP/ncomms13687.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/J6R8MHBH/ncomms13687-s1.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/X4PNEUQN/ncomms13687.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/73KCXGAP/ncomms13687.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/J6R8MHBH/ncomms13687-s1.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/X4PNEUQN/ncomms13687.html},
journal = {Nature Communications},
language = {en}
}
@ -158,8 +250,10 @@
pages = {1786--1796},
publisher = {{American Physical Society}},
doi = {10.1103/PhysRev.124.1786},
url = {https://link.aps.org/doi/10.1103/PhysRev.124.1786},
urldate = {2020-03-15},
abstract = {The mathematical basis of calculations of energy bands in periodic lattices using the Green's function method is presented and the method's usefulness discussed. The original formulation of the method by Kohn and Rostoker is modified to achieve more efficient and accurate evaluation of "structure constants" using symmetry considerations and the full Ewald summation procedure. Formulas are derived giving the wave function both inside and outside the sphere inscribed in the unit cell. The method is demonstrated with the 3-dimensional Mathieu potential. Convergence is found to be very rapid both in this test case and in practical calculations on metals, and accurate energies and wave functions can be obtained without elaborate calculation even at points of low symmetry within the Brillouin zone.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ZUV5YLEE/Ham ja Segall - 1961 - Energy Bands in Periodic Lattices---Green's Functi.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/UMRSLQDD/PhysRev.124.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ZUV5YLEE/Ham ja Segall - 1961 - Energy Bands in Periodic Lattices---Green's Functi.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/UMRSLQDD/PhysRev.124.html},
journal = {Phys. Rev.},
number = {6}
}
@ -167,15 +261,17 @@
@article{homola_surface_1999,
title = {Surface Plasmon Resonance Sensors: Review},
shorttitle = {Surface Plasmon Resonance Sensors},
author = {Homola, Ji{\v r}\i\' and Yee, Sinclair S. and Gauglitz, G{\"u}nter},
author = {Homola, Ji{\v r}{\'\i} and Yee, Sinclair S. and Gauglitz, G{\"u}nter},
year = {1999},
month = jan,
volume = {54},
pages = {3--15},
issn = {0925-4005},
doi = {10.1016/S0925-4005(98)00321-9},
url = {http://www.sciencedirect.com/science/article/pii/S0925400598003219},
urldate = {2019-11-14},
abstract = {Since the first application of the surface plasmon resonance (SPR) phenomenon for sensing almost two decades ago, this method has made great strides both in terms of instrumentation development and applications. SPR sensor technology has been commercialized and SPR biosensors have become a central tool for characterizing and quantifying biomolecular interactions. This paper attempts to review the major developments in SPR technology. Main application areas are outlined and examples of applications of SPR sensor technology are presented. Future prospects of SPR sensor technology are discussed.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/XSXPHBRJ/S0925400598003219.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/XSXPHBRJ/S0925400598003219.html},
journal = {Sensors and Actuators B: Chemical},
keywords = {Biosensor,Chemical sensor,Optical sensor,Surface plasmon resonance},
language = {en},
@ -191,7 +287,7 @@
publisher = {{Wiley}},
address = {{New York}},
abstract = {A revision of the defining book covering the physics and classical mathematics necessary to understand electromagnetic fields in materials and at surfaces and interfaces. The third edition has been revised to address the changes in emphasis and applications that have occurred in the past twenty years.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/3BWPD4BK/John David Jackson-Classical Electrodynamics-Wiley (1999).djvu},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/3BWPD4BK/John David Jackson-Classical Electrodynamics-Wiley (1999).djvu},
isbn = {978-0-471-30932-1},
language = {English}
}
@ -204,8 +300,10 @@
volume = {6},
pages = {4370--4379},
doi = {10.1103/PhysRevB.6.4370},
abstract = {The optical constants n and k were obtained for the noble metals (copper, silver, and gold) from reflection and transmission measurements on vacuum-evaporated thin films at room temperature, in the spectral range 0.5-6.5 eV. The film-thickness range was 185-500 {\AA}. Three optical measurements were inverted to obtain the film thickness d as well as n and k. The estimated error in d was {$\pm$} 2 {\AA}, and that in n, k was less than 0.02 over most of the spectral range. The results in the film-thickness range 250-500 {\AA} were independent of thickness, and were unchanged after vacuum annealing or aging in air. The free-electron optical effective masses and relaxation times derived from the results in the near infrared agree satisfactorily with previous values. The interband contribution to the imaginary part of the dielectric constant was obtained by subtracting the free-electron contribution. Some recent theoretical calculations are compared with the results for copper and gold. In addition, some other recent experiments are critically compared with our results.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ANQIIJA5/PhysRevB.6.html},
url = {http://link.aps.org/doi/10.1103/PhysRevB.6.4370},
urldate = {2015-10-06},
abstract = {The optical constants n and k were obtained for the noble metals (copper, silver, and gold) from reflection and transmission measurements on vacuum-evaporated thin films at room temperature, in the spectral range 0.5-6.5 eV. The film-thickness range was 185-500 \AA. Three optical measurements were inverted to obtain the film thickness d as well as n and k. The estimated error in d was {$\pm$} 2 \AA, and that in n, k was less than 0.02 over most of the spectral range. The results in the film-thickness range 250-500 \AA{} were independent of thickness, and were unchanged after vacuum annealing or aging in air. The free-electron optical effective masses and relaxation times derived from the results in the near infrared agree satisfactorily with previous values. The interband contribution to the imaginary part of the dielectric constant was obtained by subtracting the free-electron contribution. Some recent theoretical calculations are compared with the results for copper and gold. In addition, some other recent experiments are critically compared with our results.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ANQIIJA5/PhysRevB.6.html},
journal = {Phys. Rev. B},
number = {12}
}
@ -218,9 +316,11 @@
pages = {422--431},
issn = {1865-7109},
doi = {10.1515/zna-1967-0402},
url = {https://www.degruyter.com/view/j/zna.1967.22.issue-4/zna-1967-0402/zna-1967-0402.xml},
urldate = {2018-08-14},
abstract = {A general theory of electron diffraction by crystals is developed. The crystals are assumed to be infinitely extended in two dimensions and finite in the third dimension. For the scattering problem by this structure two-dimensionally expanded forms of GREEN'S function and integral equation are at first derived, and combined in single three-dimensional forms. EWALD'S method is applied to sum up the series for GREEN'S function.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/VEIUHCCD/Kambe - 2014 - Theory of Electron Diffraction by Crystals.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/WPKCSVZG/Kambe - 2014 - Theory of Electron Diffraction by Crystals.pdf},
journal = {Zeitschrift f{\"u}r Naturforschung A},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/VEIUHCCD/Kambe - 2014 - Theory of Electron Diffraction by Crystals.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/WPKCSVZG/Kambe - 2014 - Theory of Electron Diffraction by Crystals.pdf},
journal = {Zeitschrift f\"ur Naturforschung A},
number = {4}
}
@ -232,9 +332,11 @@
pages = {322--330},
issn = {1865-7109},
doi = {10.1515/zna-1967-0305},
url = {https://www.degruyter.com/view/j/zna.1967.22.issue-3/zna-1967-0305/zna-1967-0305.xml?format=INT},
urldate = {2020-03-14},
abstract = {A method for calculating the intensities of diffracted waves in low energy electron diffraction by crystals is proposed. The elastic multiple scattering is fully taken into account. The cellular method of KOHN and ROSTOKER in the band theory of metals is applied to the integral equation of the scattering by two dimensional lattices, particularly by monatomic layers. The solution is expanded in spherical harmonics on the surface of spheres, within which the atomic potential is assumed to be confined.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/GLRZI77L/Kambe - 2014 - Theory of Low-Energy Electron Diffraction.pdf},
journal = {Zeitschrift f{\"u}r Naturforschung A},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/GLRZI77L/Kambe - 2014 - Theory of Low-Energy Electron Diffraction.pdf},
journal = {Zeitschrift f\"ur Naturforschung A},
number = {3}
}
@ -246,9 +348,11 @@
pages = {1280--1294},
issn = {1865-7109},
doi = {10.1515/zna-1968-0908},
url = {https://www.degruyter.com/view/j/zna.1968.23.issue-9/zna-1968-0908/zna-1968-0908.xml?format=INT},
urldate = {2020-03-14},
abstract = {The method of calculating the intensities of waves in low-energy electron diffraction (LEED) which was applied in Part I to monatomic layers is generalized and applied to complex monolayers and multilayers. Using the ``muffin-tin'' model, which is widely used in the band theory of metals, the wave function is expanded in spherical harmonics on the surfaces of the set of atomic spheres which build a two-dimensional unit of the structure. The expansion coefficients are determined from the condition that the wave function should satisfy the integral equation of the problem on each of the surfaces of the atomic spheres.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/T358RXY9/Kambe - 2014 - Theory of Low-Energy Electron Diffraction.pdf},
journal = {Zeitschrift f{\"u}r Naturforschung A},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/T358RXY9/Kambe - 2014 - Theory of Low-Energy Electron Diffraction.pdf},
journal = {Zeitschrift f\"ur Naturforschung A},
number = {9}
}
@ -261,16 +365,18 @@
volume = {358},
issn = {0036-8075, 1095-9203},
doi = {10.1126/science.aam8100},
url = {https://science.sciencemag.org/content/358/6367/eaam8100},
urldate = {2019-11-14},
abstract = {Looking sharp with metalenses
High-end imaging lenses have tended to be based on bulk optical components. Advances in fabrication techniques have enabled the development of ultrathin, lightweight, and planar lenses (metalenses) that have unprecedented functionalities. These metalenses have the potential to replace or complement their conventional bulk counterparts. Khorasaninejad and Capasso review the evolution of metalenses, summarizing achievements and applications and identifying future challenges and opportunities. Metalenses can have numerous applications, ranging from cellphone camera modules, to wearable displays for augmented and virtual reality and machine vision, to bio-imaging and endoscopy.
Science, this issue p. eaam8100
Structured Abstract
BACKGROUNDFuture high-performance portable and wearable optical devices and systems with small footprints and low weights will require components with small form factors and enhanced functionality. Planar components based on diffractive optics (e.g., gratings, Fresnel lenses) and thin-film optics (e.g., dielectric filters, Bragg reflectors) have been around for decades; however, their limited functionality and difficulty of integration have been key incentives to search for better alternatives. Owing to its potential for vertical integration and marked design flexibility, metasurface-based flat optics provides a rare opportunity to overcome these challenges. The building blocks (BBs) of metasurfaces are subwavelength-spaced scatterers. By suitably adjusting their shape, size, position, and orientation with high spatial resolution, one can control the basic properties of light (phase, amplitude, polarization) and thus engineer its wavefront at will. This possibility greatly expands the frontiers of optical design by enabling multifunctional components with attendant reduction of thickness, size, and complexity.
ADVANCESRecent progress in fabrication techniques and in the theory and design of metasurfaces holds promise for this new optical platform (metaoptics) to replace or complement conventional components in many applications. One major advance has been the migration to all-dielectric metasurfaces. Here, we discuss the key advantages of using dielectric phase-shifting elements with low optical loss and strong light confinement in the visible and near-infrared regions as BBs of flat lenses (metalenses). High\textendash{}numerical aperture metalenses that are free of spherical aberrations have been implemented to achieve diffraction-limited focusing with subwavelength resolution, without requiring the complex shapes of aspherical lenses. Achromatic metalenses at discrete wavelengths and over a bandwidth have been realized by dispersion engineering of the phase shifters. By suitably adjusting the geometrical parameters of the latter, one can impart polarization- and wavelength-dependent phases to realize multifunctional metalenses with only one ultrathin layer. For example, polarization-sensitive flat lenses for chiral imaging and circular dichroism spectroscopy with high resolution have been realized, and off-axis metalenses with large engineered angular dispersion have been used to demonstrate miniature spectrometers. The fabrication of metalenses is straightforward and often requires one-step lithography, which can be based on high-throughput techniques such as deep-ultraviolet and nanoimprint lithography.
OUTLOOKIn the near future, the ability to fabricate metalenses and other metaoptical components with a planar process using the same lithographic tools for manufacturing integrated circuits (ICs) will have far-reaching implications. We envision that camera modules widely employed in cell phones, laptops, and myriad applications will become thinner and easier to optically align and package, with metalenses and the complementary metal-oxide semiconductor\textendash{}compatible sensor manufactured by the same foundries. The unprecedented design freedom of metalenses and other metasurface optical components will greatly expand the range of applications of micro-optics and integrated optics. We foresee a rapidly increasing density of nanoscale optical elements on metasurface-based chips, with attendant marked increases in performance and number of functionalities. Such digital optics will probably follow a Moore-like law, similar to that governing the scaling of ICs, leading to a wide range of high-volume applications. {$<$}img class="fragment-image" aria-describedby="F1-caption" src="https://science.sciencemag.org/content/sci/358/6367/eaam8100/F1.medium.gif"/{$>$} Download high-res image Open in new tab Download Powerpoint All-dielectric metalenses.(A) Schematic of a dielectric pillar acting as a truncated waveguide for phase-shifting the incident light. (B) Top-view scanning electron microscopy image of a metalens based on titanium dioxide, with dielectric pillars as BBs. (C) Schematic of an achromatic metalens realized by engineering the dispersive response of its BBs. (D) Schematic of a chiral metalens that spatially separates and focuses light with different helicities. (E) Schematic of a metalens that simultaneously focuses and disperses the incident light. (F) Illustration of the concept of vertically stacking metasurfaces to build miniaturized multifunctional systems.ILLUSTRATIONS: RYAN ALLEN/SECOND BAY STUDIOS
ADVANCESRecent progress in fabrication techniques and in the theory and design of metasurfaces holds promise for this new optical platform (metaoptics) to replace or complement conventional components in many applications. One major advance has been the migration to all-dielectric metasurfaces. Here, we discuss the key advantages of using dielectric phase-shifting elements with low optical loss and strong light confinement in the visible and near-infrared regions as BBs of flat lenses (metalenses). High\textendash numerical aperture metalenses that are free of spherical aberrations have been implemented to achieve diffraction-limited focusing with subwavelength resolution, without requiring the complex shapes of aspherical lenses. Achromatic metalenses at discrete wavelengths and over a bandwidth have been realized by dispersion engineering of the phase shifters. By suitably adjusting the geometrical parameters of the latter, one can impart polarization- and wavelength-dependent phases to realize multifunctional metalenses with only one ultrathin layer. For example, polarization-sensitive flat lenses for chiral imaging and circular dichroism spectroscopy with high resolution have been realized, and off-axis metalenses with large engineered angular dispersion have been used to demonstrate miniature spectrometers. The fabrication of metalenses is straightforward and often requires one-step lithography, which can be based on high-throughput techniques such as deep-ultraviolet and nanoimprint lithography.
OUTLOOKIn the near future, the ability to fabricate metalenses and other metaoptical components with a planar process using the same lithographic tools for manufacturing integrated circuits (ICs) will have far-reaching implications. We envision that camera modules widely employed in cell phones, laptops, and myriad applications will become thinner and easier to optically align and package, with metalenses and the complementary metal-oxide semiconductor\textendash compatible sensor manufactured by the same foundries. The unprecedented design freedom of metalenses and other metasurface optical components will greatly expand the range of applications of micro-optics and integrated optics. We foresee a rapidly increasing density of nanoscale optical elements on metasurface-based chips, with attendant marked increases in performance and number of functionalities. Such digital optics will probably follow a Moore-like law, similar to that governing the scaling of ICs, leading to a wide range of high-volume applications. {$<$}img class="fragment-image" aria-describedby="F1-caption" src="https://science.sciencemag.org/content/sci/358/6367/eaam8100/F1.medium.gif"/{$>$} Download high-res image Open in new tab Download Powerpoint All-dielectric metalenses.(A) Schematic of a dielectric pillar acting as a truncated waveguide for phase-shifting the incident light. (B) Top-view scanning electron microscopy image of a metalens based on titanium dioxide, with dielectric pillars as BBs. (C) Schematic of an achromatic metalens realized by engineering the dispersive response of its BBs. (D) Schematic of a chiral metalens that spatially separates and focuses light with different helicities. (E) Schematic of a metalens that simultaneously focuses and disperses the incident light. (F) Illustration of the concept of vertically stacking metasurfaces to build miniaturized multifunctional systems.ILLUSTRATIONS: RYAN ALLEN/SECOND BAY STUDIOS
Recent progress in metasurface designs fueled by advanced-fabrication techniques has led to the realization of ultrathin, lightweight, and flat lenses (metalenses) with unprecedented functionalities. Owing to straightforward fabrication, generally requiring a single-step lithography, and the possibility of vertical integration, these planar lenses can potentially replace or complement their conventional refractive and diffractive counterparts, leading to further miniaturization of high-performance optical devices and systems. Here we provide a brief overview of the evolution of metalenses, with an emphasis on the visible and near-infrared spectrum, and summarize their important features: diffraction-limited focusing, high-quality imaging, and multifunctionalities. We discuss impending challenges, including aberration correction, and also examine current issues and solutions. We conclude by providing an outlook of this technology platform and identifying promising directions for future research.},
copyright = {Copyright \textcopyright{} 2017 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. http://www.sciencemag.org/about/science-licenses-journal-article-reuseThis is an article distributed under the terms of the Science Journals Default License.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NPX5AUUA/Khorasaninejad ja Capasso - 2017 - Metalenses Versatile multifunctional photonic com.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NG6H22BA/eaam8100.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/NPX5AUUA/Khorasaninejad ja Capasso - 2017 - Metalenses Versatile multifunctional photonic com.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/NG6H22BA/eaam8100.html},
journal = {Science},
language = {en},
number = {6367},
@ -284,8 +390,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
month = jul,
publisher = {{Scitech Publishing}},
address = {{Edison, NJ}},
url = {http://gen.lib.rus.ec/book/index.php?md5=00CCB3E221E741ADDB2E236FD4A9F002},
abstract = {This book is an introduction to some of the most important properties of electromagnetic waves and their interaction with passive materials and scatterers. The main purpose of the book is to give a theoretical treatment of these scattering phenomena, and to illustrate numerical computations of some canonical scattering problems for different geometries and materials. The scattering theory is also important in the theory of passive antennas, and this book gives several examples on this topic. Topics covered include an introduction to the basic equations used in scattering; the Green functions and dyadics; integral representation of fields; introductory scattering theory; scattering in the time domain; approximations and applications; spherical vector waves; scattering by spherical objects; the null-field approach; and propagation in stratified media. The book is organised along two tracks, which can be studied separately or together. Track 1 material is appropriate for a first reading of the textbook, while Track 2 contains more advanced material suited for the second reading and for reference. Exercises are included for each chapter.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ZRYZ4KLK/Kristensson - 2016 - Scattering of Electromagnetic Waves by Obstacles.pdf},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ZRYZ4KLK/Kristensson - 2016 - Scattering of Electromagnetic Waves by Obstacles.pdf},
isbn = {978-1-61353-221-8},
language = {English}
}
@ -295,7 +402,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
author = {Kristensson, Gerhard},
year = {2014},
month = jan,
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/7MVDRPF2/Kristensson - 2014 - Spherical Vector Waves.pdf}
url = {http://www.eit.lth.se/fileadmin/eit/courses/eit080f/Literature/book.pdf},
urldate = {2014-05-20},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/7MVDRPF2/Kristensson - 2014 - Spherical Vector Waves.pdf}
}
@article{kuttner_plasmonics_2018,
@ -305,8 +414,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
year = {2018},
month = nov,
doi = {10.5772/intechopen.79055},
url = {https://www.intechopen.com/books/plasmonics/plasmonics-in-sensing-from-colorimetry-to-sers-analytics},
urldate = {2019-11-14},
abstract = {This chapter gives a brief overview of plasmonic nanoparticle (NP)-based sensing concepts ranging from classical spectral-shift colorimetry to the highly active field of surface-enhanced Raman scattering (SERS) spectroscopy. In the last two decades, colloidal approaches have developed significantly. This is seen with, for example, refractive-index sensing, detection of ad-/desorption and ligand-exchange processes, as well as ultrasensitive chemical sensing utilizing well-defined nanocrystals or discrete self-assembled superstructures in 2D and 3D.~Apart from individual NPs, the rational design of self-assembled nanostructures grants spectroscopic access to unprecedented physicochemical information. This involves selected research examples on molecular trapping, ligand corona analysis, SERS-encoding, and biosensing. The origin of the SERS effect, also in regard to hot spot formation by off-resonant excitation, is reviewed and discussed in the context of the current challenge to formulate a generalized metric for high SERS efficiency. Special emphasis lies in addressing the fundamental design criteria and the specific challenges of these particle-based sensing techniques.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/WXHZVB8R/Kuttner - 2018 - Plasmonics in Sensing From Colorimetry to SERS An.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/HS7NXFRY/plasmonics-in-sensing-from-colorimetry-to-sers-analytics.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/WXHZVB8R/Kuttner - 2018 - Plasmonics in Sensing From Colorimetry to SERS An.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/HS7NXFRY/plasmonics-in-sensing-from-colorimetry-to-sers-analytics.html},
journal = {Plasmonics},
language = {en}
}
@ -320,8 +431,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {630--674},
issn = {0036-1445},
doi = {10.1137/09075130X},
abstract = {A survey of different representations for lattice sums for the Helmholtz equation is made. These sums arise naturally when dealing with wave scattering by periodic structures. One of the main objectives is to show how the various forms depend on the dimension d of the underlying space and the lattice dimension \$d\_\textbackslash{}Lambda\$. Lattice sums are related to, and can be calculated from, the quasi-periodic Green's function and this object serves as the starting point of the analysis.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/T86ATKYB/09075130x.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ETB8X4S9/09075130X.html},
url = {http://epubs.siam.org/doi/10.1137/09075130X},
abstract = {A survey of different representations for lattice sums for the Helmholtz equation is made. These sums arise naturally when dealing with wave scattering by periodic structures. One of the main objectives is to show how the various forms depend on the dimension d of the underlying space and the lattice dimension \$d\_\textbackslash Lambda\$. Lattice sums are related to, and can be calculated from, the quasi-periodic Green's function and this object serves as the starting point of the analysis.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/T86ATKYB/09075130x.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ETB8X4S9/09075130X.html},
journal = {SIAM Rev.},
number = {4}
}
@ -335,8 +447,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {1815--1829},
issn = {0021-9991},
doi = {10.1016/j.jcp.2008.11.013},
url = {http://www.sciencedirect.com/science/article/pii/S0021999108005962},
urldate = {2018-08-14},
abstract = {The accurate and efficient computation of lattice sums for the three-dimensional Helmholtz equation is considered for the cases where the underlying lattice is one- or two-dimensional. We demonstrate, using careful numerical computations, that the reduction method, in which the sums for a two-dimensional lattice are expressed as a sum of one-dimensional lattice sums leads to an order-of-magnitude improvement in performance over the well-known Ewald method. In the process we clarify and improve on a number of results originally formulated by Twersky in the 1970s.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/YMRZHBY4/Linton ja Thompson - 2009 - One- and two-dimensional lattice sums for the thre.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/Z8CFQ6S9/S0021999108005962.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/YMRZHBY4/Linton ja Thompson - 2009 - One- and two-dimensional lattice sums for the thre.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/Z8CFQ6S9/S0021999108005962.html},
journal = {Journal of Computational Physics},
keywords = {Clausen function,Ewald summation,Helmholtz equation,Lattice reduction,Lattice sum,Schlömilch series},
number = {6}
@ -351,8 +465,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {74--88},
issn = {0022-4073},
doi = {10.1016/j.jqsrt.2007.07.001},
url = {http://www.sciencedirect.com/science/article/pii/S0022407307001860},
urldate = {2019-11-17},
abstract = {The problem of electromagnetic scattering by a system of particles is considered. Starting from the integral solution of the inhomogeneous wave equation, the equations for Green's and transition operators are derived. By expressing the free space dyadic Green's function in terms of vector spherical wave functions, the relations between the matrix elements of the dyadic transition operator and T matrix are established. On the basis of these relations the equations which allow determining the T matrices for a system of particles using T matrices for isolated particles are derived.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/RD83JW4B/Litvinov ja Ziegler - 2008 - Rigorous derivation of superposition T-matrix appr.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/5QBJ7RGJ/S0022407307001860.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ZXM2UZW4/Litvinov ja Ziegler - 2008 - Rigorous derivation of superposition T-matrix appr.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/TXRU7649/S0022407307001860.html},
journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
keywords = {-matrix method,Dyadic Green's function,Spherical wave functions,Transition operator,Wave equation},
language = {en},
@ -368,8 +484,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {74--88},
issn = {0022-4073},
doi = {10.1016/j.jqsrt.2007.07.001},
url = {http://www.sciencedirect.com/science/article/pii/S0022407307001860},
urldate = {2019-11-17},
abstract = {The problem of electromagnetic scattering by a system of particles is considered. Starting from the integral solution of the inhomogeneous wave equation, the equations for Green's and transition operators are derived. By expressing the free space dyadic Green's function in terms of vector spherical wave functions, the relations between the matrix elements of the dyadic transition operator and T matrix are established. On the basis of these relations the equations which allow determining the T matrices for a system of particles using T matrices for isolated particles are derived.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ZXM2UZW4/Litvinov ja Ziegler - 2008 - Rigorous derivation of superposition T-matrix appr.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/TXRU7649/S0022407307001860.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/RD83JW4B/Litvinov ja Ziegler - 2008 - Rigorous derivation of superposition T-matrix appr.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/5QBJ7RGJ/S0022407307001860.html},
journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
keywords = {-matrix method,Dyadic Green's function,Spherical wave functions,Transition operator,Wave equation},
language = {en},
@ -385,7 +503,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {2266},
issn = {1084-7529, 1520-8532},
doi = {10.1364/JOSAA.13.002266},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/V59UV9H9/josaa-13-11-2266.pdf},
url = {https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-13-11-2266},
urldate = {2015-11-09},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/V59UV9H9/josaa-13-11-2266.pdf},
journal = {Journal of the Optical Society of America A},
language = {en},
number = {11}
@ -400,10 +520,12 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {441--464},
issn = {0022-4073},
doi = {10.1016/S0022-4073(01)00022-X},
url = {http://www.sciencedirect.com/science/article/pii/S002240730100022X},
urldate = {2017-06-05},
abstract = {An effective medium approach is developed for describing the radiative scattering characteristics of large-scale clusters of spheres. The formulation assumes that the waves exciting each sphere in the cluster can be described by a regular vector harmonic expansion, centered about a common origin of the cluster, and characterized by an effective propagation constant mek. By combining this description with the multiple sphere interaction equations a `homogeneous' T matrix of the cluster is derived, which is analogous to using the effective propagation constant models of the Varadans in conjunction with Waterman's EBCM. However, it is shown that the homogeneous T matrix will not automatically satisfy energy conservation because it cannot account for dependent scattering effects among the spheres. A `discrete' formulation of the T matrix is then developed which retains the effective medium description of the exciting field yet provides for energy conservation. Illustrative calculations show that the effective medium T matrix can provide accurate predictions of the cross sections and scattering matrices of clusters containing a large number of uniformly packed spheres, yet this approximation uses a fraction of the computational time required for an exact solution.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/9E7R7IRX/Mackowski - 2001 - An effective medium method for calculation of the .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/D75CJ78C/S002240730100022X.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/9E7R7IRX/Mackowski - 2001 - An effective medium method for calculation of the .pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/D75CJ78C/S002240730100022X.html},
journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
number = {4\textendash{}6},
number = {4\textendash 6},
series = {Light {{Scattering}} by {{Non}}-{{Spherical Particles}}}
}
@ -411,7 +533,8 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
title = {{{MSTM}} 3.0: {{A}} Multiple Sphere {{T}} -Matrix {{FORTRAN}} Code for Use on Parallel Computer Clusters},
author = {Mackowski, Daniel W.},
year = {2013},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/RQMQMC7H/mstm-manual-2013-v3.0.pdf}
url = {http://www.eng.auburn.edu/~dmckwski/scatcodes/},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/RQMQMC7H/mstm-manual-2013-v3.0.pdf}
}
@article{mackowski_multiple_2011,
@ -423,8 +546,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {2182--2192},
issn = {0022-4073},
doi = {10.1016/j.jqsrt.2011.02.019},
url = {http://www.sciencedirect.com/science/article/pii/S0022407311001129},
urldate = {2019-11-17},
abstract = {A general-purpose Fortran-90 code for calculation of the electromagnetic scattering and absorption properties of multiple sphere clusters is described. The code can calculate the efficiency factors and scattering matrix elements of the cluster for either fixed or random orientation with respect to the incident beam and for plane wave or localized-approximation Gaussian incident fields. In addition, the code can calculate maps of the electric field both interior and exterior to the spheres. The code is written with message passing interface instructions to enable the use on distributed memory compute clusters, and for such platforms the code can make feasible the calculation of absorption, scattering, and general EM characteristics of systems containing several thousand spheres.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/N937G5U7/Mackowski ja Mishchenko - 2011 - A multiple sphere T-matrix Fortran code for use on.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/Q3RU9NXV/S0022407311001129.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/N937G5U7/Mackowski ja Mishchenko - 2011 - A multiple sphere T-matrix Fortran code for use on.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/Q3RU9NXV/S0022407311001129.html},
journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
keywords = {-matrix method,Multiple sphere scattering,Numerical methods},
language = {en},
@ -441,8 +566,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {181--188},
issn = {0022-4073},
doi = {10.1016/j.jqsrt.2016.11.004},
url = {http://www.sciencedirect.com/science/article/pii/S0022407316306550},
urldate = {2019-11-17},
abstract = {A fast superposition T-matrix solution is formulated for electromagnetic scattering by a collection of arbitrarily-shaped inhomogeneous particles. The T-matrices for individual constituents are computed by expanding the Green's dyadic in the spherical vector wave functions and formulating a volume integral equation, where the equivalent electric current is the unknown and the spherical vector wave functions are treated as excitations. Furthermore, the volume integral equation and the superposition T-matrix are accelerated by the precorrected-FFT algorithm and the fast multipole algorithm, respectively. The approach allows for an efficient scattering analysis of the clusters and aggregates consisting of a large number of arbitrarily-shaped inhomogeneous particles.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/DCGSCDFP/Markkanen ja Yuffa - 2017 - Fast superposition T-matrix solution for clusters .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/MFL4KBWV/S0022407316306550.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/DCGSCDFP/Markkanen ja Yuffa - 2017 - Fast superposition T-matrix solution for clusters .pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/MFL4KBWV/S0022407316306550.html},
journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
keywords = {Electromagnetic scattering,Multiple scattering,T-matrix,Volume integral equation},
language = {en}
@ -451,7 +578,8 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
@misc{markkanen_fastmm_2017,
title = {{{FaSTMM}}},
author = {Markkanen, Johannes},
year = {2017}
year = {2017},
url = {2017}
}
@book{martin_multiple_2006,
@ -459,9 +587,11 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
shorttitle = {Multiple Scattering},
author = {Martin, P. A.},
year = {2006},
edition = {1},
edition = {First},
publisher = {{Cambridge University Press}},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/3FHE86JH/[P._A._Martin]_Multiple_scattering__Interaction_of(z-lib.org).pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/VJ6A7FWS/Martin - 2006 - Multiple scattering Interaction of time-harmonic .pdf},
url = {http://gen.lib.rus.ec/book/index.php?md5=44F3066875B5539DA0DE49E7E78DB24C},
urldate = {2019-11-17},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/3FHE86JH/[P._A._Martin]_Multiple_scattering__Interaction_of(z-lib.org).pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/VJ6A7FWS/Martin - 2006 - Multiple scattering Interaction of time-harmonic .pdf},
isbn = {978-0-521-86554-8},
series = {Encyclopedia of {{Mathematics}} and Its {{Applications}}}
}
@ -475,9 +605,11 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {1383--1398},
issn = {1520-8532},
doi = {10.1364/JOSAA.11.001383},
url = {https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-11-4-1383},
urldate = {2019-11-14},
abstract = {We outline a generalized form of the method-of-moments technique. Integral equation formulations are developed for a diverse class of arbitrarily shaped three-dimensional scatterers. The scatterers may be totally or partially penetrable. Specific cases examined are scatterers with surfaces that are perfectly conducting, dielectric, resistive, or magnetically conducting or that satisfy the Leontovich (impedance) boundary condition. All the integral equation formulations are transformed into matrix equations expressed in terms of five general Galerkin (matrix) operators. This allows a unified numerical solution procedure to be implemented for the foregoing hierarchy of scatterers. The operators are general and apply to any arbitrarily shaped three-dimensional body. The operator calculus of the generalized approach is independent of geometry and basis or testing functions used in the method-of-moments approach. Representative numerical results for a number of scattering geometries modeled by triangularly faceted surfaces are given to illustrate the efficacy and the versatility of the present approach.},
copyright = {\&\#169; 1994 Optical Society of America},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/KJ8X4434/abstract.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/KJ8X4434/abstract.html},
journal = {J. Opt. Soc. Am. A, JOSAA},
keywords = {Complex dielectric constant,Destructive interference,Electric fields,Laser scattering,Magnetic fields,Mie theory},
language = {EN},
@ -485,7 +617,7 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
}
@article{mie_beitrage_1908,
title = {Beitr{\"a}ge Zur {{Optik}} Tr{\"u}ber {{Medien}}, Speziell Kolloidaler {{Metall{\"o}sungen}}},
title = {Beitr\"age Zur {{Optik}} Tr\"uber {{Medien}}, Speziell Kolloidaler {{Metall\"osungen}}},
author = {Mie, Gustav},
year = {1908},
month = jan,
@ -493,20 +625,38 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {377--445},
issn = {1521-3889},
doi = {10.1002/andp.19083300302},
url = {http://onlinelibrary.wiley.com/doi/10.1002/andp.19083300302/abstract},
urldate = {2014-11-30},
copyright = {Copyright \textcopyright{} 1908 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/RM9J9RYH/Mie - 1908 - Beiträge zur Optik trüber Medien, speziell kolloid.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/F5A7EX6R/abstract.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/RM9J9RYH/Mie - 1908 - Beiträge zur Optik trüber Medien, speziell kolloid.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/F5A7EX6R/abstract.html},
journal = {Ann. Phys.},
language = {en},
number = {3}
}
@book{mishchenko_light_1999,
title = {Light {{Scattering}} by {{Nonspherical Particles}}: {{Theory}}, {{Measurements}}, and {{Applications}}},
shorttitle = {Light {{Scattering}} by {{Nonspherical Particles}}},
author = {Mishchenko, Michael I. and Hovenier, Joachim W. and Travis, Larry D.},
year = {1999},
month = sep,
publisher = {{Academic Press}},
abstract = {There is hardly a field of science or engineering that does not have some interest in light scattering by small particles. For example, this subject is important to climatology because the energy budget for the Earth's atmosphere is strongly affected by scattering of solar radiation by cloud and aerosol particles, and the whole discipline of remote sensing relies largely on analyzing the parameters of radiation scattered by aerosols, clouds, and precipitation. The scattering of light by spherical particles can be easily computed using the conventional Mie theory. However, most small solid particles encountered in natural and laboratory conditions have nonspherical shapes. Examples are soot and mineral aerosols, cirrus cloud particles, snow and frost crystals, ocean hydrosols, interplanetary and cometary dust grains, and microorganisms. It is now well known that scattering properties of nonspherical particles can differ dramatically from those of "equivalent" (e.g., equal-volume or equal-surface-area) spheres. Therefore, the ability to accurately compute or measure light scattering by nonspherical particles in order to clearly understand the effects of particle nonsphericity on light scattering is very important.The rapid improvement of computers and experimental techniques over the past 20 years and the development of efficient numerical approaches have resulted in major advances in this field which have not been systematically summarized. Because of the universal importance of electromagnetic scattering by nonspherical particles, papers on different aspects of this subject are scattered over dozens of diverse research and engineering journals. Often experts in one discipline (e.g., biology) are unaware of potentially useful results obtained in another discipline (e.g., antennas and propagation). This leads to an inefficient use of the accumulated knowledge and unnecessary redundancy in research activities.This book offers the first systematic and unified discussion of light scattering by nonspherical particles and its practical applications and represents the state-of-the-art of this importantresearch field. Individual chapters are written by leading experts in respective areas and cover three major disciplines: theoretical and numerical techniques, laboratory measurements, and practical applications. An overview chapter provides a concise general introduction to the subject of nonspherical scattering and should be especially useful to beginners and those interested in fast practical applications. The audience for this book will include graduate students, scientists, and engineers working on specific aspects of electromagnetic scattering by small particles and its applications in remote sensing, geophysics, astrophysics, biomedical optics, and optical engineering.* The first systematic and comprehensive treatment of electromagnetic scattering by nonspherical particles and its applications* Individual chapters are written by leading experts in respective areas* Includes a survey of all the relevant literature scattered over dozens of basic and applied research journals* Consistent use of unified definitions and notation makes the book a coherent volume* An overview chapter provides a concise general introduction to the subject of light scattering by nonspherical particles* Theoretical chapters describe specific easy-to-use computer codes publicly available on the World Wide Web* Extensively illustrated with over 200 figures, 4 in color},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/9HIG2UUN/Michael I. Mishchenko, Joachim W. Hovenier, Larry D. Travis-Light Scattering by Nonspherical Particles-Academic Press (1999).pdf},
isbn = {978-0-08-051020-0},
keywords = {Science / Applied Sciences,Science / Earth Sciences / General,Science / Earth Sciences / Meteorology \& Climatology,Science / Earth Sciences / Oceanography,Science / Physics / General,Science / Physics / Geophysics},
language = {en}
}
@book{mishchenko_scattering_2002,
title = {Scattering, {{Absorption}}, and {{Emission}} of {{Light}} by {{Small Particles}}},
author = {Mishchenko, Michael I. and Travis, Larry D. and Lacis, Andrew A.},
year = {2002},
edition = {1},
edition = {First},
publisher = {{Cambridge University Press}},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/MEQRS28G/Michael I. Mishchenko, Larry D. Travis, Andrew A. Lacis - Scattering, Absorption, and Emission of Light by Small Particles-Cambridge University Press (2002).djvu},
url = {http://gen.lib.rus.ec/book/index.php?md5=C7A2B878ACFF6F17E01B9B58DD6B8DD2},
urldate = {2019-11-17},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/MEQRS28G/Michael I. Mishchenko, Larry D. Travis, Andrew A. Lacis - Scattering, Absorption, and Emission of Light by Small Particles-Cambridge University Press (2002).djvu},
isbn = {978-0-521-78252-4}
}
@ -519,10 +669,12 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {16--21},
issn = {0030-4018},
doi = {10.1016/0030-4018(94)90731-5},
abstract = {It is well known that T-matrix computations of light scattering by nonspherical particles may suffer from the ill-conditionality of the process of matrix inversion, which has precluded calculations for particle size parameters larger than about 25. It is demonstrated that calculating the T-matrix using extended-precision instead of double-precision floating-point variables is an effective approach for suppressing the numerical instability in computations for spheroids and allows one to increase the maximum particle size parameter for which T-matrix computations converge by as significant a factor as 2\textendash{}2.7. Yet this approach requires only a negligibly small extra memory, an affordable increase in CPU time consumption, and practically no additional programming effort. As a result, the range of particle size parameters, for which rigorous T-matrix computations of spheroidal scattering can be performed, now covers a substantial fraction of the gap between the domains of applicability of the Rayleigh and geometrical optics approximations.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/FT8KN354/mishchenko1994.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/TB425HGN/0030401894907315.html},
url = {http://www.sciencedirect.com/science/article/pii/0030401894907315},
urldate = {2017-01-18},
abstract = {It is well known that T-matrix computations of light scattering by nonspherical particles may suffer from the ill-conditionality of the process of matrix inversion, which has precluded calculations for particle size parameters larger than about 25. It is demonstrated that calculating the T-matrix using extended-precision instead of double-precision floating-point variables is an effective approach for suppressing the numerical instability in computations for spheroids and allows one to increase the maximum particle size parameter for which T-matrix computations converge by as significant a factor as 2\textendash 2.7. Yet this approach requires only a negligibly small extra memory, an affordable increase in CPU time consumption, and practically no additional programming effort. As a result, the range of particle size parameters, for which rigorous T-matrix computations of spheroidal scattering can be performed, now covers a substantial fraction of the gap between the domains of applicability of the Rayleigh and geometrical optics approximations.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/FT8KN354/mishchenko1994.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/TB425HGN/0030401894907315.html},
journal = {Optics Communications},
number = {1\textendash{}2}
number = {1\textendash 2}
}
@article{mishchenko_t-matrix_1996,
@ -535,8 +687,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {535--575},
issn = {0022-4073},
doi = {10.1016/0022-4073(96)00002-7},
url = {http://www.sciencedirect.com/science/article/pii/0022407396000027},
urldate = {2017-01-18},
abstract = {We review the current status of Waterman's T-matrix approach which is one of the most powerful and widely used tools for accurately computing light scattering by nonspherical particles, both single and composite, based on directly solving Maxwell's equations. Specifically, we discuss the analytical method for computing orientationally-averaged light-scattering characteristics for ensembles of nonspherical particles, the methods for overcoming the numerical instability in calculating the T matrix for single nonspherical particles with large size parameters and/or extreme geometries, and the superposition approach for computing light scattering by composite/aggregated particles. Our discussion is accompanied by multiple numerical examples demonstrating the capabilities of the T-matrix approach and showing effects of nonsphericity of simple convex particles (spheroids) on light scattering.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/8EA7QMDG/Mishchenko et al. - 1996 - T-matrix computations of light scattering by nonsp.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/HNWF8F6R/0022407396000027.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/8EA7QMDG/Mishchenko et al. - 1996 - T-matrix computations of light scattering by nonsp.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/HNWF8F6R/0022407396000027.html},
journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
number = {5},
series = {Light {{Scattering}} by {{Non}}-{{Spherical Particles}}}
@ -557,20 +711,6 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
language = {en}
}
@book{mishchenkoLightScatteringNonspherical1999,
title = {Light {{Scattering}} by {{Nonspherical Particles}}: {{Theory}}, {{Measurements}}, and {{Applications}}},
shorttitle = {Light {{Scattering}} by {{Nonspherical Particles}}},
author = {Mishchenko, Michael I. and Hovenier, Joachim W. and Travis, Larry D.},
year = {1999},
month = sep,
publisher = {{Academic Press}},
abstract = {There is hardly a field of science or engineering that does not have some interest in light scattering by small particles. For example, this subject is important to climatology because the energy budget for the Earth's atmosphere is strongly affected by scattering of solar radiation by cloud and aerosol particles, and the whole discipline of remote sensing relies largely on analyzing the parameters of radiation scattered by aerosols, clouds, and precipitation. The scattering of light by spherical particles can be easily computed using the conventional Mie theory. However, most small solid particles encountered in natural and laboratory conditions have nonspherical shapes. Examples are soot and mineral aerosols, cirrus cloud particles, snow and frost crystals, ocean hydrosols, interplanetary and cometary dust grains, and microorganisms. It is now well known that scattering properties of nonspherical particles can differ dramatically from those of "equivalent" (e.g., equal-volume or equal-surface-area) spheres. Therefore, the ability to accurately compute or measure light scattering by nonspherical particles in order to clearly understand the effects of particle nonsphericity on light scattering is very important.The rapid improvement of computers and experimental techniques over the past 20 years and the development of efficient numerical approaches have resulted in major advances in this field which have not been systematically summarized. Because of the universal importance of electromagnetic scattering by nonspherical particles, papers on different aspects of this subject are scattered over dozens of diverse research and engineering journals. Often experts in one discipline (e.g., biology) are unaware of potentially useful results obtained in another discipline (e.g., antennas and propagation). This leads to an inefficient use of the accumulated knowledge and unnecessary redundancy in research activities.This book offers the first systematic and unified discussion of light scattering by nonspherical particles and its practical applications and represents the state-of-the-art of this importantresearch field. Individual chapters are written by leading experts in respective areas and cover three major disciplines: theoretical and numerical techniques, laboratory measurements, and practical applications. An overview chapter provides a concise general introduction to the subject of nonspherical scattering and should be especially useful to beginners and those interested in fast practical applications. The audience for this book will include graduate students, scientists, and engineers working on specific aspects of electromagnetic scattering by small particles and its applications in remote sensing, geophysics, astrophysics, biomedical optics, and optical engineering.* The first systematic and comprehensive treatment of electromagnetic scattering by nonspherical particles and its applications* Individual chapters are written by leading experts in respective areas* Includes a survey of all the relevant literature scattered over dozens of basic and applied research journals* Consistent use of unified definitions and notation makes the book a coherent volume* An overview chapter provides a concise general introduction to the subject of light scattering by nonspherical particles* Theoretical chapters describe specific easy-to-use computer codes publicly available on the World Wide Web* Extensively illustrated with over 200 figures, 4 in color},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/9HIG2UUN/Michael I. Mishchenko, Joachim W. Hovenier, Larry D. Travis-Light Scattering by Nonspherical Particles-Academic Press (1999).pdf},
isbn = {978-0-08-051020-0},
keywords = {Science / Applied Sciences,Science / Earth Sciences / General,Science / Earth Sciences / Meteorology \& Climatology,Science / Earth Sciences / Oceanography,Science / Physics / General,Science / Physics / Geophysics},
language = {en}
}
@article{moroz_quasi-periodic_2006,
title = {Quasi-Periodic {{Green}}'s Functions of the {{Helmholtz}} and {{Laplace}} Equations},
author = {Moroz, Alexander},
@ -579,8 +719,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {11247},
issn = {0305-4470},
doi = {10.1088/0305-4470/39/36/009},
abstract = {A classical problem of free-space Green's function G 0{$\Lambda$} representations of the Helmholtz equation is studied in various quasi-periodic cases, i.e., when an underlying periodicity is imposed in less dimensions than is the dimension of an embedding space. Exponentially convergent series for the free-space quasi-periodic G 0{$\Lambda$} and for the expansion coefficients D L of G 0{$\Lambda$} in the basis of regular (cylindrical in two dimensions and spherical in three dimension (3D)) waves, or lattice sums, are reviewed and new results for the case of a one-dimensional (1D) periodicity in 3D are derived. From a mathematical point of view, a derivation of exponentially convergent representations for Schl{\"o}milch series of cylindrical and spherical Hankel functions of any integer order is accomplished. Exponentially convergent series for G 0{$\Lambda$} and lattice sums D L hold for any value of the Bloch momentum and allow G 0{$\Lambda$} to be efficiently evaluated also in the periodicity plane. The quasi-periodic Green's functions of the Laplace equation are obtained from the corresponding representations of G 0{$\Lambda$} of the Helmholtz equation by taking the limit of the wave vector magnitude going to zero. The derivation of relevant results in the case of a 1D periodicity in 3D highlights the common part which is universally applicable to any of remaining quasi-periodic cases. The results obtained can be useful for the numerical solution of boundary integral equations for potential flows in fluid mechanics, remote sensing of periodic surfaces, periodic gratings, and infinite arrays of resonators coupled to a waveguide, in many contexts of simulating systems of charged particles, in molecular dynamics, for the description of quasi-periodic arrays of point interactions in quantum mechanics, and in various ab initio first-principle multiple-scattering theories for the analysis of diffraction of classical and quantum waves.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/268RXLJ4/Moroz - 2006 - Quasi-periodic Green's functions of the Helmholtz .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/MGA5XR44/dlserr.pdf},
url = {http://stacks.iop.org/0305-4470/39/i=36/a=009},
urldate = {2018-08-14},
abstract = {A classical problem of free-space Green's function G 0{$\Lambda$} representations of the Helmholtz equation is studied in various quasi-periodic cases, i.e., when an underlying periodicity is imposed in less dimensions than is the dimension of an embedding space. Exponentially convergent series for the free-space quasi-periodic G 0{$\Lambda$} and for the expansion coefficients D L of G 0{$\Lambda$} in the basis of regular (cylindrical in two dimensions and spherical in three dimension (3D)) waves, or lattice sums, are reviewed and new results for the case of a one-dimensional (1D) periodicity in 3D are derived. From a mathematical point of view, a derivation of exponentially convergent representations for Schl\"omilch series of cylindrical and spherical Hankel functions of any integer order is accomplished. Exponentially convergent series for G 0{$\Lambda$} and lattice sums D L hold for any value of the Bloch momentum and allow G 0{$\Lambda$} to be efficiently evaluated also in the periodicity plane. The quasi-periodic Green's functions of the Laplace equation are obtained from the corresponding representations of G 0{$\Lambda$} of the Helmholtz equation by taking the limit of the wave vector magnitude going to zero. The derivation of relevant results in the case of a 1D periodicity in 3D highlights the common part which is universally applicable to any of remaining quasi-periodic cases. The results obtained can be useful for the numerical solution of boundary integral equations for potential flows in fluid mechanics, remote sensing of periodic surfaces, periodic gratings, and infinite arrays of resonators coupled to a waveguide, in many contexts of simulating systems of charged particles, in molecular dynamics, for the description of quasi-periodic arrays of point interactions in quantum mechanics, and in various ab initio first-principle multiple-scattering theories for the analysis of diffraction of classical and quantum waves.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/268RXLJ4/Moroz - 2006 - Quasi-periodic Green's functions of the Helmholtz .pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/MGA5XR44/dlserr.pdf},
journal = {J. Phys. A: Math. Gen.},
language = {en},
number = {36}
@ -590,20 +732,21 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
title = {{{QPMS}} Photonic Multiple Scattering Suite},
author = {Ne{\v c}ada, Marek},
year = {2019},
url = {https://repo.or.cz/qpms.git},
copyright = {GNU GPL v3}
}
@article{NIST:DLMF,
title = {{{NIST Digital Library}} of {{Mathematical Functions}}},
url = {http://dlmf.nist.gov/},
key = {DLMF},
note = {F.~W.~J. Olver, A.~B. Olde Daalhuis, D.~W. Lozier, B.~I. Schneider, R.~F. Boisvert, C.~W. Clark, B.~R. Miller and B.~V. Saunders, eds.}
key = {DLMF}
}
@misc{noauthor_nanoparticle_nodate,
title = {Nanoparticle {{Arrays}} | {{SpringerLink}}},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/MGTX4UJJ/10.html},
howpublished = {https://link.springer.com/referenceworkentry/10.1007\%2F978-3-319-15338-4\_27}
url = {https://link.springer.com/referenceworkentry/10.1007\%2F978-3-319-15338-4_27},
urldate = {2019-11-13},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/MGTX4UJJ/10.html}
}
@book{olver_nist_2010,
@ -612,7 +755,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
year = {2010},
edition = {1 Pap/Cdr},
publisher = {{Cambridge University Press}},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ZJ5LBQ8W/Olver ym. - 2010 - NIST handbook of mathematical functions.pdf},
url = {http://gen.lib.rus.ec/book/index.php?md5=7750A842DAAE07EBE30D597EB1352408},
urldate = {2018-08-20},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ZJ5LBQ8W/Olver ym. - 2010 - NIST handbook of mathematical functions.pdf},
isbn = {978-0-521-14063-8}
}
@ -626,14 +771,34 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
publisher = {{International Union of Crystallography}},
issn = {0567-7394},
doi = {10.1107/S0567739475000988},
url = {//scripts.iucr.org/cgi-bin/paper?a11737},
urldate = {2020-03-15},
abstract = {Alternative procedures are presented to the usual dynamical matrix method of calculating the dispersion surface, which suffers from very slow convergence in orientations where the diffraction pattern exhibits a full plane of the reciprocal lattice. A preliminary discussion is given of the cylindrical 'muffin-tin' approximation to the real-space projected crystal potential, the basis of the adaptation for use in high- energy electron-diffraction theory of both the APW and KKR methods. Full formulae for the diffracted amplitudes are arrived at, and an evaluation is made of the respective merits of the KKR and APW methods.},
copyright = {Copyright (c) 1975 International Union of Crystallography},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/L5VLX588/Ozorio de Almeida - 1975 - Real-space methods for interpreting electron micro.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/L4Q34CQB/paper.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/L5VLX588/Ozorio de Almeida - 1975 - Real-space methods for interpreting electron micro.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/L4Q34CQB/paper.html},
journal = {Acta Cryst A},
language = {en},
number = {4}
}
@article{peter_tang_feast_2014,
title = {{{FEAST As A Subspace Iteration Eigensolver Accelerated By Approximate Spectral Projection}}},
author = {Peter Tang, Ping Tak and Polizzi, Eric},
year = {2014},
month = jan,
volume = {35},
pages = {354--390},
publisher = {{Society for Industrial and Applied Mathematics}},
issn = {0895-4798},
doi = {10.1137/13090866X},
url = {https://epubs.siam.org/doi/10.1137/13090866X},
urldate = {2020-04-11},
abstract = {The calculation of a segment of eigenvalues and their corresponding eigenvectors of a Hermitian matrix or matrix pencil has many applications. A new density-matrix-based algorithm has been proposed recently and a software package FEAST has been developed. The density-matrix approach allows FEAST's implementation to exploit a key strength of modern computer architectures, namely, multiple levels of parallelism. Consequently, the software package has been well received, especially in the electronic structure community. Nevertheless, theoretical analysis of FEAST has lagged. For instance, the FEAST algorithm has not been proven to converge. This paper offers a detailed numerical analysis of FEAST. In particular, we show that the FEAST algorithm can be understood as an accelerated subspace iteration algorithm in conjunction with the Rayleigh--Ritz procedure. The novelty of FEAST lies in its accelerator, which is a rational matrix function that approximates the spectral projector onto the eigenspace in question. Analysis of the numerical nature of this approximate spectral projector and the resulting subspaces generated in the FEAST algorithm establishes the algorithm's convergence. This paper shows that FEAST is resilient against rounding errors and establishes properties that can be leveraged to enhance the algorithm's robustness. Finally, we propose an extension of FEAST to handle non-Hermitian problems and suggest some future research directions.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/64SHVMHW/Peter Tang ja Polizzi - 2014 - FEAST As A Subspace Iteration Eigensolver Accelera.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/MG3D7GZT/13090866X.html},
journal = {SIAM J. Matrix Anal. Appl.},
number = {2}
}
@article{peterson_$t$_1973,
title = {\${{T}}\$ {{Matrix}} for {{Electromagnetic Scattering}} from an {{Arbitrary Number}} of {{Scatterers}} and {{Representations}} of {{E}}(3)},
author = {Peterson, Bo and Str{\"o}m, Staffan},
@ -642,8 +807,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
volume = {8},
pages = {3661--3678},
doi = {10.1103/PhysRevD.8.3661},
url = {https://link.aps.org/doi/10.1103/PhysRevD.8.3661},
urldate = {2019-11-17},
abstract = {The T-matrix formulation of electromagnetic scattering given previously by Waterman for the case of one scatterer is extended to the case of an arbitrary number of scatterers. The resulting total T matrix is expressed in terms of the individual T matrices by an iterative procedure. The essential tools used in the extension are the expansions associated with a translation of the origin for the spherical-wave solutions of Helmholtz's equation. The connection between these expansions and the unitary irreducible representations and associated local representations of the three-dimensional Euclidean group E(3) is emphasized. Some applications to two spheres are given.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/42T3K89B/Peterson ja Ström - 1973 - $T$ Matrix for Electromagnetic Scattering from an .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/HVC7BL3Z/PhysRevD.8.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/42T3K89B/Peterson ja Ström - 1973 - $T$ Matrix for Electromagnetic Scattering from an .pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/HVC7BL3Z/PhysRevD.8.html},
journal = {Phys. Rev. D},
number = {10}
}
@ -654,8 +821,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
year = {2019},
month = apr,
doi = {10.1021/acsnano.9b01006},
url = {https://pubs.acs.org/doi/suppl/10.1021/acsnano.9b01006},
urldate = {2019-07-31},
abstract = {Lasing in Ni Nanodisk Arrays},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/AHGWE573/10.1021@acsnano.9b01006.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/C4SN68I6/Pourjamal ym. - 2019 - Lasing in Ni Nanodisk Arrays.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/S6AU6FV9/acsnano.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/AHGWE573/10.1021@acsnano.9b01006.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/C4SN68I6/Pourjamal ym. - 2019 - Lasing in Ni Nanodisk Arrays.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/S6AU6FV9/acsnano.html},
journal = {ACS Nano},
language = {en}
}
@ -670,6 +839,8 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
publisher = {{Springer International Publishing}},
address = {{Cham}},
doi = {10.1007/978-3-319-55438-9_1},
url = {https://doi.org/10.1007/978-3-319-55438-9_1},
urldate = {2019-11-14},
abstract = {Time domain analysis of electromagnetics is currently dominated by the finite difference time domain (FDTD) method. Current finite element (FE) counterparts of the FDTD method are slower in execution and hard to parallelise. This chapter presents a point matched finite element based method with dual perforated mesh system which allows faster execution time than the FDTD for equilateral elements.},
isbn = {978-3-319-55438-9},
language = {en},
@ -683,14 +854,29 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
month = aug,
volume = {37},
pages = {5271--5283},
publisher = {{Optical Society of America}},
issn = {2155-3165},
issn = {1539-4522},
doi = {10.1364/AO.37.005271},
abstract = {We present models for the optical functions of 11 metals used as mirrors and contacts in optoelectronic and optical devices: noble metals (Ag, Au, Cu), aluminum, beryllium, and transition metals (Cr, Ni, Pd, Pt, Ti, W). We used two simple phenomenological models, the Lorentz\textendash{}Drude (LD) and the Brendel\textendash{}Bormann (BB), to interpret both the free-electron and the interband parts of the dielectric response of metals in a wide spectral range from 0.1 to 6 eV. Our results show that the BB model was needed to describe appropriately the interband absorption in noble metals, while for Al, Be, and the transition metals both models exhibit good agreement with the experimental data. A comparison with measurements on surface normal structures confirmed that the reflectance and the phase change on reflection from semiconductor\textendash{}metal interfaces (including the case of metallic multilayers) can be accurately described by use of the proposed models for the optical functions of metallic films and the matrix method for multilayer calculations.},
copyright = {\&\#169; 1998 Optical Society of America},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/734TW8E2/Rakić ym. - 1998 - Optical properties of metallic films for vertical-.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/C4YM8BLF/abstract.html},
url = {http://www.osapublishing.org/abstract.cfm?uri=ao-37-22-5271},
urldate = {2016-12-14},
abstract = {We present models for the optical functions of 11 metals used as
mirrors and contacts in optoelectronic and optical devices: noble
metals (Ag, Au, Cu), aluminum, beryllium, and transition metals
(Cr, Ni, Pd, Pt, Ti, W). We used two simple phenomenological
models, the Lorentz\textendash Drude (LD) and the Brendel\textendash Bormann (BB),
to interpret both the free-electron and the interband parts of the
dielectric response of metals in a wide spectral range from 0.1 to 6
eV. Our results show that the BB model was needed to describe
appropriately the interband absorption in noble metals, while for Al,
Be, and the transition metals both models exhibit good agreement with
the experimental data. A comparison with measurements on surface
normal structures confirmed that the reflectance and the phase change
on reflection from semiconductor\textendash metal interfaces (including the
case of metallic multilayers) can be accurately described by use of
the proposed models for the optical functions of metallic films and the
matrix method for multilayer calculations.},
copyright = {\textcopyright{} 1998 Optical Society of America},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/PXHU3MDH/abstract.html},
journal = {Appl. Opt., AO},
keywords = {Amorphous materials,Optical constants,Oscillator strengths,Reflection coefficient,Semiconductor lasers,Thin films},
language = {EN},
number = {22}
}
@ -704,9 +890,11 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {E88-E103},
issn = {1520-8540},
doi = {10.1364/JOSAB.36.000E88},
url = {https://www.osapublishing.org/josab/abstract.cfm?uri=josab-36-7-E88},
urldate = {2019-11-14},
abstract = {Arrays of metallic nanoparticles support collective plasmonic resonances known as surface lattice resonances (SLRs). The strong and delocalized electromagnetic fields associated with SLRs provide an excellent platform for experiments within the realm of light\&\#x2013;matter interaction. The planar architecture of these arrays also provides a feasible system for coupling to different materials. One of the areas where SLRs have demonstrated their potential is strong light\&\#x2013;matter coupling, with possible applications in nonlinear optics, coherent light generation, photochemistry, and optoelectronics. In this perspective, we describe how SLRs are formed in arrays of plasmonic nanoparticles, introduce different materials used for strong coupling with SLRs, discuss some experiments that demonstrate the nonlinear emission of strongly coupled organic molecules with SLRs, and give our vision on future research directions of strongly coupled SLRs with organic molecules.},
copyright = {\&\#169; 2019 Optical Society of America},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ZAIJEKA8/abstract.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ZAIJEKA8/abstract.html},
journal = {J. Opt. Soc. Am. B, JOSAB},
keywords = {Condensed matter,Effective refractive index,Electric fields,Electromagnetic radiation,Energy transfer,Light matter interactions},
language = {EN},
@ -722,11 +910,13 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {3588--3598},
issn = {0018-926X, 1558-2221},
doi = {10.1109/TAP.2015.2438393},
abstract = {We present concise, computationally efficient formulas for several quantities of interest -- including absorbed and scattered power, optical force (radiation pressure), and torque -- in scattering calculations performed using the boundary-element method (BEM) [also known as the method of moments (MOM)]. Our formulas compute the quantities of interest \textbackslash{}textit\{directly\} from the BEM surface currents with no need ever to compute the scattered electromagnetic fields. We derive our new formulas and demonstrate their effectiveness by computing power, force, and torque in a number of example geometries. Free, open-source software implementations of our formulas are available for download online.},
url = {http://arxiv.org/abs/1307.2966},
urldate = {2018-09-23},
abstract = {We present concise, computationally efficient formulas for several quantities of interest -- including absorbed and scattered power, optical force (radiation pressure), and torque -- in scattering calculations performed using the boundary-element method (BEM) [also known as the method of moments (MOM)]. Our formulas compute the quantities of interest \textbackslash textit\{directly\} from the BEM surface currents with no need ever to compute the scattered electromagnetic fields. We derive our new formulas and demonstrate their effectiveness by computing power, force, and torque in a number of example geometries. Free, open-source software implementations of our formulas are available for download online.},
archivePrefix = {arXiv},
eprint = {1307.2966},
eprinttype = {arxiv},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/I2DXTKUF/Reid ja Johnson - 2015 - Efficient Computation of Power, Force, and Torque .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/LG7AVZDH/1307.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/I2DXTKUF/Reid ja Johnson - 2015 - Efficient Computation of Power, Force, and Torque .pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/LG7AVZDH/1307.html},
journal = {IEEE Transactions on Antennas and Propagation},
keywords = {Physics - Classical Physics,Physics - Computational Physics},
number = {8}
@ -735,8 +925,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
@misc{scattport_multiple_nodate,
title = {Multiple {{Particle Scattering}}},
author = {ScattPort},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/S9YB95Y2/multiple-particle-scattering.html},
howpublished = {https://scattport.org/index.php/light-scattering-software/multiple-particle-scattering},
url = {https://scattport.org/index.php/light-scattering-software/multiple-particle-scattering},
urldate = {2019-11-17},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/S9YB95Y2/multiple-particle-scattering.html},
journal = {https://scattport.org/index.php/light-scattering-software/multiple-particle-scattering}
}
@ -749,7 +940,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {853},
issn = {1084-7529, 1520-8532},
doi = {10.1364/JOSAA.16.000853},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/X9X48A6G/josaa-16-4-853.pdf},
url = {https://www.osapublishing.org/abstract.cfm?URI=josaa-16-4-853},
urldate = {2016-08-04},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/X9X48A6G/josaa-16-4-853.pdf},
journal = {Journal of the Optical Society of America A},
language = {en},
number = {4}
@ -759,7 +952,7 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
title = {{{SCUFF}}-{{EM}}},
author = {Reid, Homer},
year = {2018},
note = {http://github.com/homerreid/scuff-EM}
url = {http://homerreid.dyndns.org/scuff-EM/}
}
@book{sullivan_electromagnetic_2013,
@ -796,8 +989,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
year = {2011},
month = jul,
publisher = {{Springer Science \& Business Media}},
url = {http://gen.lib.rus.ec/book/index.php?md5=3B222192BB23C6D062BAABB76696D0E4},
abstract = {This thesis addresses optical binding - a new area of interest within the field of optical micromanipulation. It presents, for the first time, a rigorous numerical simulation of some of the key results, along with new experimental findings and also physical interpretations of the results. In an optical trap particles are attracted close to areas of high optical intensities and intensity gradients. So, for example, if two lasers are pointed towards each other (a counter propagating trap) then a single particle is trapped in the centre of the two beams \textendash{} the system is analogous to a particle being held by two springs in a potential well. If one increases the number of particles in the trap then naively one would expect all the particles to collect in the centre of the well. However, the effect of optical binding means that the presence of one particle affects the distribution of light experienced by another particle, resulting in extremely complex interactions that can lead to unusual 1D and 2D structures to form within the trap. Optical binding is not only of theoretical interest but also has applications in micromanipulation and assembly.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/7XKKCD9X/(Springer Theses) Jonathan M. Taylor (auth.)-Optical Binding Phenomena_ Observations and Mechanisms -Springer-Verlag Berlin Heidelberg (2011).pdf},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/7XKKCD9X/(Springer Theses) Jonathan M. Taylor (auth.)-Optical Binding Phenomena_ Observations and Mechanisms -Springer-Verlag Berlin Heidelberg (2011).pdf},
isbn = {978-3-642-21195-9},
keywords = {Science / Physics / Atomic \& Molecular,Science / Physics / Electricity,Science / Physics / General,Science / Physics / Mathematical \& Computational,Science / Physics / Optics \& Light,Technology \& Engineering / Electrical,Technology \& Engineering / Optics},
language = {en}
@ -811,16 +1005,18 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
volume = {14},
pages = {7959--7973},
doi = {10.3390/s140507959},
url = {http://www.mdpi.com/1424-8220/14/5/7959},
urldate = {2017-09-23},
abstract = {Plasmonic sensing has been an important multidisciplinary research field and has been extensively used in detection of trace molecules in chemistry and biology. The sensing techniques are typically based on surface-enhanced spectroscopies and surface plasmon resonances (SPRs). This review article deals with some recent advances in surface-enhanced Raman scattering (SERS) sensors and SPR sensors using either localized surface plasmon resonances (LSPRs) or propagating surface plasmon polaritons (SPPs). The advances discussed herein present some improvements in SERS and SPR sensing, as well as a new type of nanowire-based SPP sensor.},
copyright = {http://creativecommons.org/licenses/by/3.0/},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/R38I555H/Tong et al. - 2014 - Recent Advances in Plasmonic Sensors.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/28GP9I3R/7959.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/R38I555H/Tong et al. - 2014 - Recent Advances in Plasmonic Sensors.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/28GP9I3R/7959.html},
journal = {Sensors},
keywords = {localized surface plasmon resonances (LSPRs),surface plasmon polaritons (SPPs),surface plasmon resonance (SPR) sensors,surface-enhanced Raman scattering (SERS)},
language = {en},
number = {5}
}
@article{tormaStrongCouplingSurface2015c,
@article{torma_strong_2015,
title = {Strong Coupling between Surface Plasmon Polaritons and Emitters: A Review},
shorttitle = {Strong Coupling between Surface Plasmon Polaritons and Emitters},
author = {T{\"o}rm{\"a}, P. and Barnes, W. L.},
@ -829,14 +1025,33 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {013901},
issn = {0034-4885},
doi = {10.1088/0034-4885/78/1/013901},
url = {http://stacks.iop.org/0034-4885/78/i=1/a=013901},
urldate = {2016-02-11},
abstract = {In this review we look at the concepts and state-of-the-art concerning the strong coupling of surface plasmon-polariton modes to states associated with quantum emitters such as excitons in J-aggregates, dye molecules and quantum dots. We explore the phenomenon of strong coupling with reference to a number of examples involving electromagnetic fields and matter. We then provide a concise description of the relevant background physics of surface plasmon polaritons. An extensive overview of the historical background and a detailed discussion of more recent relevant experimental advances concerning strong coupling between surface plasmon polaritons and quantum emitters is then presented. Three conceptual frameworks are then discussed and compared in depth: classical, semi-classical and fully quantum mechanical; these theoretical frameworks will have relevance to strong coupling beyond that involving surface plasmon polaritons. We conclude our review with a perspective on the future of this rapidly emerging field, one we are sure will grow to encompass more intriguing physics and will develop in scope to be of relevance to other areas of science.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/PXE2D67G/Törmä and Barnes - 2015 - Strong coupling between surface plasmon polaritons.pdf},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/PXE2D67G/Törmä and Barnes - 2015 - Strong coupling between surface plasmon polaritons.pdf},
journal = {Rep. Prog. Phys.},
language = {en},
number = {1}
}
@article{vakevainenPlasmonicSurfaceLattice2014a,
@article{torma_strong_2015-1,
title = {Strong Coupling between Surface Plasmon Polaritons and Emitters: A Review},
shorttitle = {Strong Coupling between Surface Plasmon Polaritons and Emitters},
author = {T{\"o}rm{\"a}, P. and Barnes, W. L.},
year = {2015},
volume = {78},
pages = {013901},
issn = {0034-4885},
doi = {10.1088/0034-4885/78/1/013901},
url = {http://stacks.iop.org/0034-4885/78/i=1/a=013901},
urldate = {2016-02-11},
abstract = {In this review we look at the concepts and state-of-the-art concerning the strong coupling of surface plasmon-polariton modes to states associated with quantum emitters such as excitons in J-aggregates, dye molecules and quantum dots. We explore the phenomenon of strong coupling with reference to a number of examples involving electromagnetic fields and matter. We then provide a concise description of the relevant background physics of surface plasmon polaritons. An extensive overview of the historical background and a detailed discussion of more recent relevant experimental advances concerning strong coupling between surface plasmon polaritons and quantum emitters is then presented. Three conceptual frameworks are then discussed and compared in depth: classical, semi-classical and fully quantum mechanical; these theoretical frameworks will have relevance to strong coupling beyond that involving surface plasmon polaritons. We conclude our review with a perspective on the future of this rapidly emerging field, one we are sure will grow to encompass more intriguing physics and will develop in scope to be of relevance to other areas of science.},
journal = {Rep. Prog. Phys.},
language = {en},
number = {1}
}
@article{vakevainen_plasmonic_2014,
title = {Plasmonic {{Surface Lattice Resonances}} at the {{Strong Coupling Regime}}},
author = {V{\"a}kev{\"a}inen, A. I. and Moerland, R. J. and Rekola, H. T. and Eskelinen, A.-P. and Martikainen, J.-P. and Kim, D.-H. and T{\"o}rm{\"a}, P.},
year = {2014},
@ -845,8 +1060,26 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {1721--1727},
issn = {1530-6984},
doi = {10.1021/nl4035219},
url = {http://dx.doi.org/10.1021/nl4035219},
urldate = {2015-10-19},
abstract = {We show strong coupling involving three different types of resonances in plasmonic nanoarrays: surface lattice resonances (SLRs), localized surface plasmon resonances on single nanoparticles, and excitations of organic dye molecules. The measured transmission spectra show splittings that depend on the molecule concentration. The results are analyzed using finite-difference time-domain simulations, a coupled-dipole approximation, coupled-modes models, and Fano theory. The delocalized nature of the collective SLR modes suggests that in the strong coupling regime molecules near distant nanoparticles are coherently coupled.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/MRKRQUNG/Väkeväinen et al. - 2014 - Plasmonic Surface Lattice Resonances at the Strong.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/2SFX4NJN/nl4035219.html},
journal = {Nano Lett.},
number = {4}
}
@article{vakevainen_plasmonic_2014-1,
title = {Plasmonic {{Surface Lattice Resonances}} at the {{Strong Coupling Regime}}},
author = {V{\"a}kev{\"a}inen, A. I. and Moerland, R. J. and Rekola, H. T. and Eskelinen, A.-P. and Martikainen, J.-P. and Kim, D.-H. and T{\"o}rm{\"a}, P.},
year = {2014},
month = apr,
volume = {14},
pages = {1721--1727},
issn = {1530-6984},
doi = {10.1021/nl4035219},
url = {http://dx.doi.org/10.1021/nl4035219},
urldate = {2015-10-19},
abstract = {We show strong coupling involving three different types of resonances in plasmonic nanoarrays: surface lattice resonances (SLRs), localized surface plasmon resonances on single nanoparticles, and excitations of organic dye molecules. The measured transmission spectra show splittings that depend on the molecule concentration. The results are analyzed using finite-difference time-domain simulations, a coupled-dipole approximation, coupled-modes models, and Fano theory. The delocalized nature of the collective SLR modes suggests that in the strong coupling regime molecules near distant nanoparticles are coherently coupled.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/MRKRQUNG/Väkeväinen et al. - 2014 - Plasmonic Surface Lattice Resonances at the Strong.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/2SFX4NJN/nl4035219.html},
journal = {Nano Lett.},
number = {4}
}
@ -860,7 +1093,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {2280--2284},
issn = {0001-4966},
doi = {10.1121/1.397025},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/7TWP5AAC/1.html},
url = {https://asa.scitation.org/doi/abs/10.1121/1.397025},
urldate = {2019-12-09},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/7TWP5AAC/1.html},
journal = {The Journal of the Acoustical Society of America},
number = {6}
}
@ -874,8 +1109,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {303--314},
issn = {1369-7021},
doi = {10.1016/j.mattod.2017.09.002},
abstract = {Metal nanoparticle arrays that support surface lattice resonances have emerged as an exciting platform for manipulating light\textendash{}matter interactions at the nanoscale and enabling a diverse range of applications. Their recent prominence can be attributed to a combination of desirable photonic and plasmonic attributes: high electromagnetic field enhancements extended over large volumes with long-lived lifetimes. This Review will describe the design rules for achieving high-quality optical responses from metal nanoparticle arrays, nanofabrication advances that have enabled their production, and the theory that inspired their experimental realization. Rich fundamental insights will focus on weak and strong coupling with molecular excitons, as well as semiconductor excitons and the lattice resonances. Applications related to nanoscale lasing, solid-state lighting, and optical devices will be discussed. Finally, prospects and future open questions will be described.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/QZXJBPIT/Wang et al. - 2018 - The rich photonic world of plasmonic nanoparticle .pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/IHJ6YXLB/S1369702117306727.html},
url = {http://www.sciencedirect.com/science/article/pii/S1369702117306727},
urldate = {2018-05-14},
abstract = {Metal nanoparticle arrays that support surface lattice resonances have emerged as an exciting platform for manipulating light\textendash matter interactions at the nanoscale and enabling a diverse range of applications. Their recent prominence can be attributed to a combination of desirable photonic and plasmonic attributes: high electromagnetic field enhancements extended over large volumes with long-lived lifetimes. This Review will describe the design rules for achieving high-quality optical responses from metal nanoparticle arrays, nanofabrication advances that have enabled their production, and the theory that inspired their experimental realization. Rich fundamental insights will focus on weak and strong coupling with molecular excitons, as well as semiconductor excitons and the lattice resonances. Applications related to nanoscale lasing, solid-state lighting, and optical devices will be discussed. Finally, prospects and future open questions will be described.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/QZXJBPIT/Wang et al. - 2018 - The rich photonic world of plasmonic nanoparticle .pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/IHJ6YXLB/S1369702117306727.html},
journal = {Materials Today},
number = {3}
}
@ -889,7 +1126,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {1417--1429},
issn = {0001-4966},
doi = {10.1121/1.1911619},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/RN694D9W/Waterman - 1969 - New Formulation of Acoustic Scattering.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/QG87ZSKF/1.html},
url = {https://asa.scitation.org/doi/abs/10.1121/1.1911619},
urldate = {2019-11-17},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/RN694D9W/Waterman - 1969 - New Formulation of Acoustic Scattering.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/QG87ZSKF/1.html},
journal = {The Journal of the Acoustical Society of America},
number = {6}
}
@ -902,8 +1141,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
volume = {3},
pages = {825--839},
doi = {10.1103/PhysRevD.3.825},
url = {https://link.aps.org/doi/10.1103/PhysRevD.3.825},
urldate = {2019-11-17},
abstract = {Upon defining vector spherical partial waves \{{$\Psi$}n\} as a basis, a matrix equation is derived describing scattering for general incidence on objects of arbitrary shape. With no losses present, the scattering matrix is then obtained in the symmetric, unitary form S=-\^Q'*\^Q{${_\ast}$}, where (perfect conductor) \^Q is the Schmidt orthogonalization of Qnn{${'}$}=(k{$\pi$}){$\int$}d{$\sigma\cdot$}[({$\nabla\times$}Re{$\Psi$}n)\texttimes{$\Psi$}n{${'}$}], integration extending over the object surface. For quadric (separable) surfaces, Q itself becomes symmetric, effecting considerable simplification. A secular equation is given for constructing eigenfunctions of general objects. Finally, numerical results are presented and compared with experimental measurements.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/8MUQHPEK/Waterman - 1971 - Symmetry, Unitarity, and Geometry in Electromagnet.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/FSPPT7L7/PhysRevD.3.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/8MUQHPEK/Waterman - 1971 - Symmetry, Unitarity, and Geometry in Electromagnet.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/FSPPT7L7/PhysRevD.3.html},
journal = {Phys. Rev. D},
number = {4}
}
@ -917,9 +1158,11 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {2257--2267},
issn = {1520-8532},
doi = {10.1364/JOSAA.24.002257},
url = {https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-24-8-2257},
urldate = {2018-08-14},
abstract = {We consider electromagnetic scattering from penetrable cylinders of general cross section. After summarizing the basic T-matrix equations the low-frequency case is examined, which leads for nonmagnetic materials to the exact result T=iR-R2 in the Rayleigh limit, satisfying both reciprocity and energy constraints. Here elements of R are given by integrals of regular wave functions over the cylinder surface. A "Rayleigh expansion" is then found that is convergent throughout the Rayleigh region and the lower end of the resonance region and requires no matrix inversion. For bodies of high aspect ratio, there is a problem with significance loss during numerical integration, due to large oscillatory terms. A class of surfaces has now been found for which these terms can be removed, however, enabling us to treat aspect ratios up to 1000:1. These methods are expected to apply also in three dimensions.},
copyright = {\&\#169; 2007 Optical Society of America},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/5E8WMAB2/abstract.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/5E8WMAB2/abstract.html},
journal = {J. Opt. Soc. Am. A, JOSAA},
keywords = {Electromagnetic scattering,Electromagnetic theory,Multiple scattering,Numerical analysis,Refractive index,Scattering},
language = {EN},
@ -935,8 +1178,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {285--298},
issn = {0021-9991},
doi = {10.1006/jcph.1996.0175},
abstract = {One of the most intractable problems in electromagnetic multisphere-scattering theory is the formulation and evaluation of vector addition coefficients introduced by the addition theorems for vector spherical harmonics. This paper presents an efficient approach for the calculation of both scalar and vector translational addition coefficients, which is based on fast evaluation of the Gaunt coefficients. The paper also rederives the analytical expressions for the vector translational addition coefficients and discusses the strengths and limitations of other formulations and numerical techniques found in the literature. Numerical results from the formulation derived in this paper agree with those of a previously published recursion scheme that completely avoids the use of the Gaunt coefficients, but the method of direct calculation proposed here reduces the computing time by a factor of 4\textendash{}6.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/8B2TWTJ2/1-s2.0-S0021999197956874-main (2).pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NCD6BBNZ/Xu - 1996 - Calculation of the Addition Coefficients in Electr.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/NDSF7KI2/S0021999196901758.html},
url = {http://www.sciencedirect.com/science/article/pii/S0021999196901758},
urldate = {2015-11-22},
abstract = {One of the most intractable problems in electromagnetic multisphere-scattering theory is the formulation and evaluation of vector addition coefficients introduced by the addition theorems for vector spherical harmonics. This paper presents an efficient approach for the calculation of both scalar and vector translational addition coefficients, which is based on fast evaluation of the Gaunt coefficients. The paper also rederives the analytical expressions for the vector translational addition coefficients and discusses the strengths and limitations of other formulations and numerical techniques found in the literature. Numerical results from the formulation derived in this paper agree with those of a previously published recursion scheme that completely avoids the use of the Gaunt coefficients, but the method of direct calculation proposed here reduces the computing time by a factor of 4\textendash 6.},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/8B2TWTJ2/1-s2.0-S0021999197956874-main (2).pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/NCD6BBNZ/Xu - 1996 - Calculation of the Addition Coefficients in Electr.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/NDSF7KI2/S0021999196901758.html},
journal = {Journal of Computational Physics},
number = {2}
}
@ -950,8 +1195,10 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {137--165},
issn = {0021-9991},
doi = {10.1006/jcph.1997.5867},
url = {http://www.sciencedirect.com/science/article/pii/S0021999197958678},
urldate = {2015-11-18},
abstract = {Vector addition theorems are a necessary ingredient in the analytical solution of electromagnetic multiparticle-scattering problems. These theorems include a large number of vector addition coefficients. There exist three basic types of analytical expressions for vector translation coefficients: Stein's (Quart. Appl. Math.19, 15 (1961)), Cruzan's (Quart. Appl. Math.20, 33 (1962)), and Xu's (J. Comput. Phys.127, 285 (1996)). Stein's formulation relates vector translation coefficients with scalar translation coefficients. Cruzan's formulas use the Wigner 3jm symbol. Xu's expressions are based on the Gaunt coefficient. Since the scalar translation coefficient can also be expressed in terms of the Gaunt coefficient, the key to the expeditious and reliable calculation of vector translation coefficients is the fast and accurate evaluation of the Wigner 3jm symbol or the Gaunt coefficient. We present highly efficient recursive approaches to accurately evaluating Wigner 3jm symbols and Gaunt coefficients. Armed with these recursive approaches, we discuss several schemes for the calculation of the vector translation coefficients, using the three general types of formulation, respectively. Our systematic test calculations show that the three types of formulas produce generally the same numerical results except that the algorithm of Stein's type is less accurate in some particular cases. These extensive test calculations also show that the scheme using the formulation based on the Gaunt coefficient is the most efficient in practical computations.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/STV5263F/Xu - 1998 - Efficient Evaluation of Vector Translation Coeffic.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/VMGZRSAA/S0021999197958678.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/STV5263F/Xu - 1998 - Efficient Evaluation of Vector Translation Coeffic.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/VMGZRSAA/S0021999197958678.html},
journal = {Journal of Computational Physics},
number = {1}
}
@ -960,8 +1207,9 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
title = {Fortran Codes for Multi-Particle Light-Scattering Calculations},
author = {Xu, Yu-Lin},
year = {2003},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/9DLVV7ZN/codes.html},
howpublished = {https://scattport.org/files/xu/codes.htm}
url = {https://scattport.org/files/xu/codes.htm},
urldate = {2019-11-17},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/9DLVV7ZN/codes.html}
}
@article{yang_real-time_2015,
@ -972,14 +1220,27 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
volume = {6},
pages = {6939},
doi = {10.1038/ncomms7939},
url = {http://www.nature.com/ncomms/2015/150420/ncomms7939/full/ncomms7939.html},
urldate = {2016-03-18},
abstract = {Plasmon lasers can support ultrasmall mode confinement and ultrafast dynamics with device feature sizes below the diffraction limit. However, most plasmon-based nanolasers rely on solid gain materials (inorganic semiconducting nanowire or organic dye in a solid matrix) that preclude the possibility of dynamic tuning. Here we report an approach to achieve real-time, tunable lattice plasmon lasing based on arrays of gold nanoparticles and liquid gain materials. Optically pumped arrays of gold nanoparticles surrounded by liquid dye molecules exhibit lasing emission that can be tuned as a function of the dielectric environment. Wavelength-dependent time-resolved experiments show distinct lifetime characteristics below and above the lasing threshold. By integrating gold nanoparticle arrays within microfluidic channels and flowing in liquid gain materials with different refractive indices, we achieve dynamic tuning of the plasmon lasing wavelength. Tunable lattice plasmon lasers offer prospects to enhance and detect weak physical and chemical processes on the nanoscale in real time.},
copyright = {\textcopyright{} 2015 Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved.},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/SNEVIHT7/Yang et al. - 2015 - Real-time tunable lasing from plasmonic nanocavity.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/GXDQ8EI6/ncomms7939.html},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/NQ8GH65Z/Real-time tunable lasing from plasmonic nanocavity arrays_Yang_2015.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/SNEVIHT7/Yang et al. - 2015 - Real-time tunable lasing from plasmonic nanocavity.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/GXDQ8EI6/ncomms7939.html},
journal = {Nat Commun},
keywords = {Applied physics,Optical physics,Physical sciences},
language = {en}
}
@article{zhen_topological_2014,
title = {Topological {{Nature}} of {{Optical Bound States}} in the {{Continuum}}},
author = {Zhen, Bo},
year = {2014},
volume = {113},
doi = {10.1103/PhysRevLett.113.257401},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/EH2DWMVQ/SI_2nd_round.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/HM868BUF/Zhen - 2014 - Topological Nature of Optical Bound States in the .pdf},
journal = {Phys. Rev. Lett.},
number = {25}
}
@article{zhou_lasing_2013,
title = {Lasing Action in Strongly Coupled Plasmonic Nanocavity Arrays},
author = {Zhou, Wei and Dridi, Montacer and Suh, Jae Yong and Kim, Chul Hoon and Co, Dick T. and Wasielewski, Michael R. and Schatz, George C. and Odom, Teri W.},
@ -989,6 +1250,8 @@ Recent progress in metasurface designs fueled by advanced-fabrication techniques
pages = {506--511},
issn = {1748-3387},
doi = {10.1038/nnano.2013.99},
url = {http://www.nature.com/nnano/journal/v8/n7/full/nnano.2013.99.html},
urldate = {2014-03-11},
abstract = {Periodic dielectric structures are typically integrated with a planar waveguide to create photonic band-edge modes for feedback in one-dimensional distributed feedback lasers and two-dimensional photonic-crystal lasers. Although photonic band-edge lasers are widely used in optics and biological applications, drawbacks include low modulation speeds and diffraction-limited mode confinement. In contrast, plasmonic nanolasers can support ultrafast dynamics and ultrasmall mode volumes. However, because of the large momentum mismatch between their nanolocalized lasing fields and free-space light, they suffer from large radiative losses and lack beam directionality. Here, we report lasing action from band-edge lattice plasmons in arrays of plasmonic nanocavities in a homogeneous dielectric environment. We find that optically pumped, two-dimensional arrays of plasmonic Au or Ag nanoparticles surrounded by an organic gain medium show directional beam emission (divergence angle {$<$}1.5\textdegree{} and linewidth {$<$}1.3 nm) characteristic of lasing action in the far-field, and behave as arrays of nanoscale light sources in the near-field. Using a semi-quantum electromagnetic approach to simulate the active optical responses, we show that lasing is achieved through stimulated energy transfer from the gain to the band-edge lattice plasmons in the deep subwavelength vicinity of the individual nanoparticles. Using femtosecond-transient absorption spectroscopy, we verified that lattice plasmons in plasmonic nanoparticle arrays could reach a 200-fold enhancement of the spontaneous emission rate of the dye because of their large local density of optical states.},
copyright = {\textcopyright{} 2013 Nature Publishing Group},
journal = {Nat Nano},

266
lepaper/infinite.lyx
View File

@ -184,16 +184,16 @@ noprefix "false"
\begin_inset Formula $\alpha$
\end_inset
from set
from a set
\begin_inset Formula $\mathcal{P}_{1}$
\end_inset
and (relative) positions inside the unit cell
and (relative) positions
\begin_inset Formula $\vect r_{\alpha}$
\end_inset
; any particle of the periodic system can thus be labeled by a multiindex
from
inside the unit cell; any particle of the periodic system can thus be labeled
by a multiindex from
\begin_inset Formula $\mathcal{P}=\ints^{d}\times\mathcal{P}_{1}$
\end_inset
@ -303,8 +303,8 @@ W_{\alpha\beta}(\vect k)\equiv\sum_{\vect m\in\ints^{d}}\left(1-\delta_{\alpha\b
\end_inset
evaluation of which is possible but quite non-trivial due to the infinite
lattice sum, so we explain it separately in Sect.
evaluation of which is possible but rather non-trivial due to the infinite
lattice sum, so we cover it separately in Sect.
\begin_inset CommandInset ref
LatexCommand eqref
@ -439,17 +439,7 @@ noprefix "false"
, w.r.t.
the distance; the gain might then balance the losses in particles, resulting
in propagating
\begin_inset Note Note
status open
\begin_layout Plain Layout
lepší slovo
\end_layout
\end_inset
modes satisfying eq.
in sustained modes satisfying eq.
\begin_inset CommandInset ref
LatexCommand eqref
@ -846,7 +836,8 @@ reference "eq:W definition"
\end_inset
is the asymptotic behaviour of the translation operator,
is the asymptotic behaviour of the translation operator at large distances,
\begin_inset Formula $\tropsp{\vect 0,\alpha}{\vect m,\beta}\sim\left|\vect R_{\vect m}\right|^{-1}e^{i\kappa\left|\vect R_{\vect m}\right|}$
\end_inset
@ -884,27 +875,88 @@ Note that
\end_inset
The problem of poorly converging lattice sums has been originally solved
for electrostatic potentials with Ewald summation
The problem of poorly converging lattice sums can be solved by decomposing
the lattice-summed function into two parts: a short-range part that decays
fast and can be summed directly, and a long-range part which decays poorly
but is fairly smooth everywhere, so that its Fourier transform decays fast
enough, and to deal with the long range part by Poisson summation over
the reciprocal lattice.
This idea dates back to Ewald
\begin_inset CommandInset citation
LatexCommand cite
key "ewald_berechnung_1921"
literal "false"
\end_inset
who solved the problem for electrostatic potentials (Green's functions
for Laplace's equation).
For linear electrodynamic problems, ruled by Helmholtz equation, the same
basic idea can be used as well, resulting in exponentially convergent summation
formulae, but the technical details are considerably more complicated than
in electrostatics.
For the scalar Helmholtz equation in three dimensions, the formulae were
developed by Ham & Segall
\begin_inset CommandInset citation
LatexCommand cite
key "ham_energy_1961"
literal "false"
\end_inset
for 3D periodicity, Kambe
\begin_inset CommandInset citation
LatexCommand cite
key "kambe_theory_1967,kambe_theory_1967-1,kambe_theory_1968"
literal "false"
\end_inset
for 2D periodicity and Moroz
\begin_inset CommandInset citation
LatexCommand cite
key "moroz_quasi-periodic_2006"
literal "false"
\end_inset
for 1D periodicity.
A review of these methods can be found in
\begin_inset CommandInset citation
LatexCommand cite
key "linton_lattice_2010"
literal "false"
\end_inset
.
Its basic idea is to decompose the lattice-summed function in two parts:
a short-range part that decays fast and can be summed directly, and a long-rang
e part which decays poorly but is fairly smooth everywhere, so that its
Fourier transform decays fast enough, and to deal with the long range part
by Poisson summation over the reciprocal lattice.
The same idea can be used also in the case of linear electrodynamic problems,
just the technical details are more complicated than in electrostatics.
We will not rederive the formulae here, but for reference, we restate the
results in a form independent upon the normalisation and phase conventions
for spherical harmonic bases (pointing out some errors in the aforementioned
literature) and discuss some practical aspects of the numerical evaluation.
\begin_inset Note Note
status open
\begin_layout Plain Layout
Tady ještě upřesnit, co vlastně dělám.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
In eq.
We note that the lattice sums for
\emph on
scalar
\emph default
Helmholtz equation are enough for the evaluation of the translation operator
lattice sum
\begin_inset Formula $W_{\alpha\beta}(\vect k)$
\end_inset
: in eq.
\begin_inset CommandInset ref
LatexCommand eqref
@ -916,35 +968,19 @@ noprefix "false"
\end_inset
we demonstratively expressed the translation operator elements as linear
combinations of (outgoing) scalar spherical wavefunctions
combinations of (outgoing)
\emph on
scalar
\emph default
spherical wavefunctions
\begin_inset Formula
\begin{equation}
\sswfoutlm lm\left(\vect r\right)=h_{l}^{\left(1\right)}\left(r\right)\ush lm\left(\uvec r\right),\label{eq:scalar spherical wavefunctions}
\sswfoutlm lm\left(\vect r\right)=h_{l}^{\left(1\right)}\left(r\right)\ush lm\left(\uvec r\right).\label{eq:scalar spherical wavefunctions}
\end{equation}
\end_inset
because for them, fortunately, exponentially convergent Ewald-type summation
techniques have been developed
\begin_inset Note Note
status open
\begin_layout Plain Layout
add refs
\end_layout
\end_inset
\begin_inset CommandInset citation
LatexCommand cite
key "moroz_quasi-periodic_2006,linton_one-_2009,linton_lattice_2010,kambe_theory_1967,kambe_theory_1967-1,kambe_theory_1968"
literal "false"
\end_inset
and can be applied to our case.
If we formally label
If we formally label
\begin_inset Note Note
status open
@ -1062,72 +1098,7 @@ For reader's reference, we list the Ewald-type formulae for lattice sums
rewritten in a way that is independent on particular phase or normalisation
conventions of vector spherical harmonics.
The derivations of these formulae can otherwise be
\begin_inset Note Note
status open
\begin_layout Plain Layout
except for eq.
xxx todo
\end_layout
\end_inset
found in
\begin_inset CommandInset citation
LatexCommand cite
key "moroz_quasi-periodic_2006,linton_lattice_2010"
literal "false"
\end_inset
.
\begin_inset Note Note
status open
\begin_layout Plain Layout
\begin_inset CommandInset citation
LatexCommand cite
key "linton_lattice_2010"
literal "false"
\end_inset
(case
\begin_inset Formula $\vect s=0$
\end_inset
, all lattice dimensionalities),
\begin_inset CommandInset citation
LatexCommand cite
key "kambe_theory_1968"
literal "false"
\end_inset
(
\begin_inset Formula $d=2$
\end_inset
) ,
\begin_inset CommandInset citation
LatexCommand cite
key "moroz_quasi-periodic_2006"
literal "false"
\end_inset
(
\begin_inset Formula $d=1$
\end_inset
)
\end_layout
\end_inset
\end_layout
\begin_layout Standard
@ -1239,8 +1210,8 @@ Poznámka ohledně zahození radiální části u kulových fcí?
\end_layout
\begin_layout Standard
The explicit form of the long-range part of Ewald sum depends on the lattice
dimensionality.
The explicit form of the long-range part of the lattice sum depends on the
lattice dimensionality.
The long-range parts are calculated as sums over the reciprocal lattice
\begin_inset Formula $\Lambda^{*}$
@ -1263,7 +1234,7 @@ The explicit form of the long-range part of Ewald sum depends on the lattice
\end_layout
\begin_layout Standard
For case
If
\begin_inset Formula $d=3$
\end_inset
@ -1285,8 +1256,8 @@ regardless of chosen coordinate axes.
\end_layout
\begin_layout Standard
For cases
\begin_inset Formula $d=1,2$
If
\begin_inset Formula $d=2$
\end_inset
, reasonable explicit forms assume that the lattice lies inside the
@ -1323,11 +1294,11 @@ noprefix "false"
\end_inset
Moreover, we require that the component of
The component of
\begin_inset Formula $\vect s$
\end_inset
normal to the lattice is parallel to the
normal to the lattice is then parallel to the
\begin_inset Formula $z$
\end_inset
@ -1335,11 +1306,7 @@ noprefix "false"
\begin_inset Formula $\vect s=\vect s_{\parallel}+\vect s_{\perp}=\vect s_{\parallel}+s_{\perp}\uvec z$
\end_inset
(this holds automatically for
\begin_inset Formula $d=2$
\end_inset
).
.
With these assumptions
\begin_inset Note Note
status open
@ -1357,14 +1324,49 @@ FP: check sign of
\begin_inset Formula
\begin{multline}
\sigma_{l,m}^{\left(\mathrm{L},\eta\right)}\left(\vect k,\vect s\right)=-\frac{i^{l+1}}{\kappa^{d}\mathcal{A}}\pi^{2+\left(3-d\right)/2}2\left(\left(l-m\right)/2\right)!\left(\left(l+m\right)/2\right)!\times\\
\times\sum_{\vect K\in\Lambda^{*}}\underbrace{e^{i\vect K\cdot\vect s}}_{\text{nemá tu být \ensuremath{\vect{k\cdot s}?}}}\ush lm\left(\vect k+\vect K\right)\sum_{j=0}^{\left[\left(l-\left|m\right|/2\right)\right]}\frac{\left(-1\right)^{j}\left(\left|\vect k+\vect K\right|/\kappa\right)^{l-2j}\Gamma\left(\frac{d-1}{2}-j,\frac{\kappa^{2}\gamma\left(\left|\vect k+\vect K\right|/\kappa\right)}{4\eta^{2}}\right)}{j!\left(\frac{1}{2}\left(l-m\right)-j\right)!\left(\frac{1}{2}\left(l+m\right)-j\right)!}\times\\
\times\left(\gamma\left(\left|\vect k+\vect K\right|/\kappa\right)\right)^{2j+3-d}\label{eq:Ewald in 3D long-range part 1D 2D}
\sigma_{l,m}^{\left(\mathrm{L},\eta\right)}\left(\vect k,\vect s\right)=-\frac{i^{l+1}}{\kappa^{2}\mathcal{A}}\pi^{3/2}2\left(\left(l-m\right)/2\right)!\left(\left(l+m\right)/2\right)!\times\\
\times\sum_{\vect K\in\Lambda^{*}}\underbrace{e^{i\vect K\cdot\vect s}}_{\text{nemá tu být \ensuremath{\vect{k\cdot s}?}}}\ush lm\left(\vect k+\vect K\right)\sum_{j=0}^{l-\left|m\right|}\left(-1\right)^{j}\left(\gamma\left(\left|\vect k+\vect K\right|/\kappa\right)\right)^{2j+1}\Delta_{j}\left(\frac{\kappa^{2}\gamma\left(\left|\vect k+\vect K\right|/\kappa\right)}{4\eta^{2}},-i\kappa\gamma\left(\left|\vect k+\vect K\right|/\kappa\right)s_{\perp}\right)\times\\
\times\sum_{\begin{array}{c}
s\\
j\le s\le\min\left(2j,l-\left|m\right|\right)\\
l-n+\left|m\right|\,\mathrm{even}
\end{array}}\frac{1}{\left(2j-s\right)!\left(s-j\right)!}\frac{\left(-\kappa s_{\perp}\right)^{2j-s}\left(\left|\vect k+\vect K\right|/\kappa\right)^{l-s}}{\left(\frac{1}{2}\left(l-m-s\right)\right)!\left(\frac{1}{2}\left(l+m-s\right)\right)!}\label{eq:Ewald in 3D long-range part 1D 2D}
\end{multline}
\end_inset
and if the normal component
\begin_inset Note Note
status open
\begin_layout Plain Layout
\begin_inset Formula
\begin{multline}
\sigma_{l,m}^{\left(\mathrm{L},\eta\right)}\left(\vect k,\vect s\right)=-\frac{i^{l+1}}{\kappa^{d}\mathcal{A}}\pi^{2+\left(3-d\right)/2}2\left(\left(l-m\right)/2\right)!\left(\left(l+m\right)/2\right)!\times\\
\times\sum_{\vect K\in\Lambda^{*}}\underbrace{e^{i\vect K\cdot\vect s}}_{\text{nemá tu být \ensuremath{\vect{k\cdot s}?}}}\ush lm\left(\vect k+\vect K\right)\sum_{j=0}^{\left[\left(l-\left|m\right|/2\right)\right]}\frac{\left(-1\right)^{j}\left(\left|\vect k+\vect K\right|/\kappa\right)^{l-2j}\Gamma\left(\frac{d-1}{2}-j,\frac{\kappa^{2}\gamma\left(\left|\vect k+\vect K\right|/\kappa\right)}{4\eta^{2}}\right)}{j!\left(\frac{1}{2}\left(l-m\right)-j\right)!\left(\frac{1}{2}\left(l+m\right)-j\right)!}\times\\
\times\left(\gamma\left(\left|\vect k+\vect K\right|/\kappa\right)\right)^{2j+3-d}\label{eq:Ewald in 3D long-range part 1D 2D-1}
\end{multline}
\end_inset
\end_layout
\end_inset
where
\begin_inset Formula $\gamma\left(z\right)=\left(z^{2}-1\right)^{\frac{1}{2}}$
\end_inset
and
\begin_inset Formula
\[
\Delta_{j}\left(x,z\right)=\int_{x}^{\infty}t^{\frac{-1}{2}-n}\exp\left(-t+\frac{z^{2}}{4t}\right)\ud t
\]
\end_inset
and if the normal component
\begin_inset Formula $s_{\perp}$
\end_inset