QPMS
/
qpms
1
0
Fork 0
Code Issues Pull Requests Projects Releases Wiki Activity

Introduction BS, political citations. 

Former-commit-id: 825added4db2f9f0a7b934e53e493ed790bdd09a
This commit is contained in:
Marek Nečada 2019-11-14 22:47:13 +02:00
parent 2877fdfe3b
commit 846384b040
2 changed files with 503 additions and 265 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

672
lepaper/Tmatrix.bib
View File

@ -1,13 +1,26 @@
@article{vakevainen_plasmonic_2014,
title = {Plasmonic {{Surface Lattice Resonances}} at the {{Strong Coupling Regime}}},
volume = {14},
issn = {1530-6984},
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.},
number = {4},
journal = {Nano Lett.},
doi = {10.1021/nl4035219},
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.},
month = apr,
year = {2014},
pages = {1721-1727},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/N4DKZDJK/Väkeväinen et al. - 2014 - Plasmonic Surface Lattice Resonances at the Strong.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/2P6G4DBD/nl4035219.html}
}
@book{bohren_absorption_1983, @book{bohren_absorption_1983,
title = {Absorption and Scattering of Light by Small Particles}, title = {Absorption and Scattering of Light by Small Particles},
abstract = {Not Available}, abstract = {Not Available},
urldate = {2014-05-09},
url = {http://adsabs.harvard.edu/abs/1983asls.book.....B},
author = {Bohren, Craig F. and Huffman, Donald R.}, author = {Bohren, Craig F. and Huffman, Donald R.},
year = {1983}, year = {1983},
keywords = {Particles,LIGHT SCATTERING,ABSORPTION,DUST,THEORY}, keywords = {THEORY,LIGHT SCATTERING,Particles,DUST,ABSORPTION},
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} 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}
} }
@article{johnson_optical_1972, @article{johnson_optical_1972,
@ -15,20 +28,47 @@
volume = {6}, volume = {6},
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.}, 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.},
number = {12}, number = {12},
urldate = {2015-10-06},
journal = {Phys. Rev. B}, journal = {Phys. Rev. B},
doi = {10.1103/PhysRevB.6.4370}, doi = {10.1103/PhysRevB.6.4370},
url = {http://link.aps.org/doi/10.1103/PhysRevB.6.4370},
author = {Johnson, P. B. and Christy, R. W.}, author = {Johnson, P. B. and Christy, R. W.},
month = dec, month = dec,
year = {1972}, year = {1972},
pages = {4370-4379}, pages = {4370-4379},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ANQIIJA5/PhysRevB.6.html} file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ANQIIJA5/PhysRevB.6.html}
}
@article{zhou_lasing_2013,
title = {Lasing Action in Strongly Coupled Plasmonic Nanocavity Arrays},
volume = {8},
copyright = {\textcopyright{} 2013 Nature Publishing Group},
issn = {1748-3387},
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.},
language = {en},
number = {7},
journal = {Nat Nano},
doi = {10.1038/nnano.2013.99},
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.},
month = jul,
year = {2013},
pages = {506-511}
}
@article{torma_strong_2015,
title = {Strong Coupling between Surface Plasmon Polaritons and Emitters: A Review},
volume = {78},
issn = {0034-4885, 1361-6633},
shorttitle = {Strong Coupling between Surface Plasmon Polaritons and Emitters},
number = {1},
journal = {Rep. Prog. Phys.},
doi = {10.1088/0034-4885/78/1/013901},
author = {T{\"o}rm{\"a}, P and Barnes, W L},
month = jan,
year = {2015},
pages = {013901}
} }
@misc{SCUFF2, @misc{SCUFF2,
title = {{{SCUFF}}-{{EM}}}, title = {{{SCUFF}}-{{EM}}},
url = {http://homerreid.dyndns.org/scuff-EM/},
author = {Reid, Homer}, author = {Reid, Homer},
year = {2018}, year = {2018},
note = {http://github.com/homerreid/scuff-EM} note = {http://github.com/homerreid/scuff-EM}
@ -40,15 +80,13 @@
issn = {0021-9991}, issn = {0021-9991},
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.}, 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.},
number = {2}, number = {2},
urldate = {2015-11-22},
journal = {Journal of Computational Physics}, journal = {Journal of Computational Physics},
doi = {10.1006/jcph.1996.0175}, doi = {10.1006/jcph.1996.0175},
url = {http://www.sciencedirect.com/science/article/pii/S0021999196901758},
author = {Xu, Yu-lin}, author = {Xu, Yu-lin},
month = sep, month = sep,
year = {1996}, year = {1996},
pages = {285-298}, pages = {285-298},
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} 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}
} }
@article{xu_efficient_1998, @article{xu_efficient_1998,
@ -57,18 +95,38 @@
issn = {0021-9991}, issn = {0021-9991},
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.}, 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.},
number = {1}, number = {1},
urldate = {2015-11-18},
journal = {Journal of Computational Physics}, journal = {Journal of Computational Physics},
doi = {10.1006/jcph.1997.5867}, doi = {10.1006/jcph.1997.5867},
url = {http://www.sciencedirect.com/science/article/pii/S0021999197958678},
author = {Xu, Yu-lin}, author = {Xu, Yu-lin},
month = jan, month = jan,
year = {1998}, year = {1998},
pages = {137-165}, pages = {137-165},
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} 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}
} }
@book{mishchenko_light_1999-1, @article{mackowski_calculation_1996,
title = {Calculation of the {{T}} Matrix and the Scattering Matrix for Ensembles of Spheres},
volume = {13},
issn = {1084-7529, 1520-8532},
language = {en},
number = {11},
journal = {Journal of the Optical Society of America A},
doi = {10.1364/JOSAA.13.002266},
author = {Mackowski, Daniel W. and Mishchenko, Michael I.},
month = nov,
year = {1996},
pages = {2266},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/V59UV9H9/josaa-13-11-2266.pdf}
}
@misc{mackowski_mstm_2013,
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}
}
@book{mishchenko_light_1999,
title = {Light {{Scattering}} by {{Nonspherical Particles}}: {{Theory}}, {{Measurements}}, and {{Applications}}}, title = {Light {{Scattering}} by {{Nonspherical Particles}}: {{Theory}}, {{Measurements}}, and {{Applications}}},
isbn = {978-0-08-051020-0}, isbn = {978-0-08-051020-0},
shorttitle = {Light {{Scattering}} by {{Nonspherical Particles}}}, shorttitle = {Light {{Scattering}} by {{Nonspherical Particles}}},
@ -78,50 +136,7 @@
author = {Mishchenko, Michael I. and Hovenier, Joachim W. and Travis, Larry D.}, author = {Mishchenko, Michael I. and Hovenier, Joachim W. and Travis, Larry D.},
month = sep, month = sep,
year = {1999}, year = {1999},
keywords = {Science / Physics / General,Science / Applied Sciences,Science / Earth Sciences / Meteorology \& Climatology,Science / Physics / Geophysics,Science / Earth Sciences / Oceanography,Science / Earth Sciences / General} keywords = {Science / Physics / General,Science / Applied Sciences,Science / Earth Sciences / General,Science / Earth Sciences / Meteorology \& Climatology,Science / Earth Sciences / Oceanography,Science / Physics / Geophysics}
}
@article{mackowski_calculation_1996,
title = {Calculation of the {{T}} Matrix and the Scattering Matrix for Ensembles of Spheres},
volume = {13},
issn = {1084-7529, 1520-8532},
language = {en},
number = {11},
urldate = {2015-11-09},
journal = {Journal of the Optical Society of America A},
doi = {10.1364/JOSAA.13.002266},
url = {https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-13-11-2266},
author = {Mackowski, Daniel W. and Mishchenko, Michael I.},
month = nov,
year = {1996},
pages = {2266},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/V59UV9H9/josaa-13-11-2266.pdf}
}
@misc{mackowski_mstm_2013,
title = {{{MSTM}} 3.0: {{A}} Multiple Sphere {{T}} -Matrix {{FORTRAN}} Code for Use on Parallel Computer Clusters},
url = {http://www.eng.auburn.edu/~dmckwski/scatcodes/},
author = {Mackowski, Daniel W.},
year = {2013},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/RQMQMC7H/mstm-manual-2013-v3.0.pdf}
}
@article{yang_real-time_2015,
title = {Real-Time Tunable Lasing from Plasmonic Nanocavity Arrays},
volume = {6},
copyright = {\textcopyright{} 2015 Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved.},
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.},
language = {en},
urldate = {2016-03-18},
journal = {Nat Commun},
doi = {10.1038/ncomms7939},
url = {http://www.nature.com/ncomms/2015/150420/ncomms7939/full/ncomms7939.html},
author = {Yang, Ankun and Hoang, Thang B. and Dridi, Montacer and Deeb, Claire and Mikkelsen, Maiken H. and Schatz, George C. and Odom, Teri W.},
month = apr,
year = {2015},
keywords = {Applied physics,Optical physics,Physical sciences},
pages = {6939},
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}
} }
@book{jackson_classical_1998, @book{jackson_classical_1998,
@ -135,17 +150,7 @@
author = {Jackson, John David}, author = {Jackson, John David},
month = aug, month = aug,
year = {1998}, year = {1998},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/3BWPD4BK/John David Jackson-Classical Electrodynamics-Wiley (1999).djvu} file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/3BWPD4BK/John David Jackson-Classical Electrodynamics-Wiley (1999).djvu}
}
@misc{kristensson_spherical_2014,
title = {Spherical {{Vector Waves}}},
urldate = {2014-05-20},
url = {http://www.eit.lth.se/fileadmin/eit/courses/eit080f/Literature/book.pdf},
author = {Kristensson, Gerhard},
month = jan,
year = {2014},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/7MVDRPF2/Kristensson - 2014 - Spherical Vector Waves.pdf}
} }
@incollection{mishchenko_t-matrix_1999, @incollection{mishchenko_t-matrix_1999,
@ -159,25 +164,63 @@
editor = {Mishchenko, Michael I. and Hovenier, Joachim W. and Travis, Larry D.}, editor = {Mishchenko, Michael I. and Hovenier, Joachim W. and Travis, Larry D.},
month = sep, month = sep,
year = {1999}, year = {1999},
keywords = {Science / Physics / General,Science / Applied Sciences,Science / Earth Sciences / Meteorology \& Climatology,Science / Physics / Geophysics,Science / Earth Sciences / Oceanography,Science / Earth Sciences / General}, keywords = {Science / Physics / General,Science / Applied Sciences,Science / Earth Sciences / General,Science / Earth Sciences / Meteorology \& Climatology,Science / Earth Sciences / Oceanography,Science / Physics / Geophysics},
pages = {147-172} pages = {147-172}
} }
@misc{kristensson_spherical_2014,
title = {Spherical {{Vector Waves}}},
author = {Kristensson, Gerhard},
month = jan,
year = {2014},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/7MVDRPF2/Kristensson - 2014 - Spherical Vector Waves.pdf}
}
@article{yang_real-time_2015,
title = {Real-Time Tunable Lasing from Plasmonic Nanocavity Arrays},
volume = {6},
copyright = {\textcopyright{} 2015 Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved.},
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.},
language = {en},
journal = {Nat Commun},
doi = {10.1038/ncomms7939},
author = {Yang, Ankun and Hoang, Thang B. and Dridi, Montacer and Deeb, Claire and Mikkelsen, Maiken H. and Schatz, George C. and Odom, Teri W.},
month = apr,
year = {2015},
keywords = {Applied physics,Optical physics,Physical sciences},
pages = {6939},
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}
}
@article{schulz_point-group_1999, @article{schulz_point-group_1999,
title = {Point-Group Symmetries in Electromagnetic Scattering}, title = {Point-Group Symmetries in Electromagnetic Scattering},
volume = {16}, volume = {16},
issn = {1084-7529, 1520-8532}, issn = {1084-7529, 1520-8532},
language = {en}, language = {en},
number = {4}, number = {4},
urldate = {2016-08-04},
journal = {Journal of the Optical Society of America A}, journal = {Journal of the Optical Society of America A},
doi = {10.1364/JOSAA.16.000853}, doi = {10.1364/JOSAA.16.000853},
url = {https://www.osapublishing.org/abstract.cfm?URI=josaa-16-4-853},
author = {Schulz, F. Michael and Stamnes, Knut and Stamnes, J. J.}, author = {Schulz, F. Michael and Stamnes, Knut and Stamnes, J. J.},
month = apr, month = apr,
year = {1999}, year = {1999},
pages = {853}, pages = {853},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/X9X48A6G/josaa-16-4-853.pdf} file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/X9X48A6G/josaa-16-4-853.pdf}
}
@article{fedele_strong_2016,
title = {Strong Coupling in Molecular Exciton-Plasmon {{Au}} Nanorod Array Systems},
volume = {108},
issn = {0003-6951, 1077-3118},
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.},
number = {5},
journal = {Applied Physics Letters},
doi = {10.1063/1.4941078},
author = {Fedele, Stefano and Hakami, Manal and Murphy, Antony and Pollard, Robert and Rice, James},
month = feb,
year = {2016},
keywords = {Excitons,Gold,Nanorods,Photoluminescence,Reflectivity},
pages = {053102},
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}
} }
@article{mishchenko_t-matrix_1994, @article{mishchenko_t-matrix_1994,
@ -186,15 +229,29 @@
issn = {0030-4018}, issn = {0030-4018},
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.}, 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.},
number = {1\textendash{}2}, number = {1\textendash{}2},
urldate = {2017-01-18},
journal = {Optics Communications}, journal = {Optics Communications},
doi = {10.1016/0030-4018(94)90731-5}, doi = {10.1016/0030-4018(94)90731-5},
url = {http://www.sciencedirect.com/science/article/pii/0030401894907315},
author = {Mishchenko, Michael I. and Travis, Larry D.}, author = {Mishchenko, Michael I. and Travis, Larry D.},
month = jun, month = jun,
year = {1994}, year = {1994},
pages = {16-21}, pages = {16-21},
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} file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/FT8KN354/mishchenko1994.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/TB425HGN/0030401894907315.html}
}
@article{hakala_lasing_2017,
title = {Lasing in Dark and Bright Modes of a Finite-Sized Plasmonic Lattice},
volume = {8},
copyright = {\textcopyright{} 2017 Macmillan Publishers Limited, part of Springer Nature. All rights reserved.},
issn = {2041-1723},
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.},
language = {en},
journal = {Nature Communications},
doi = {10.1038/ncomms13687},
author = {Hakala, T. K. and Rekola, H. T. and V{\"a}kev{\"a}inen, A. I. and Martikainen, J.-P. and Ne{\v c}ada, M. and Moilanen, A. J. and T{\"o}rm{\"a}, P.},
month = jan,
year = {2017},
pages = {13687},
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}
} }
@article{mishchenko_t-matrix_1996, @article{mishchenko_t-matrix_1996,
@ -205,33 +262,13 @@
shorttitle = {T-Matrix Computations of Light Scattering by Nonspherical Particles}, shorttitle = {T-Matrix Computations of Light Scattering by Nonspherical Particles},
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.}, 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.},
number = {5}, number = {5},
urldate = {2017-01-18},
journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
doi = {10.1016/0022-4073(96)00002-7}, doi = {10.1016/0022-4073(96)00002-7},
url = {http://www.sciencedirect.com/science/article/pii/0022407396000027},
author = {Mishchenko, Michael I. and Travis, Larry D. and Mackowski, Daniel W.}, author = {Mishchenko, Michael I. and Travis, Larry D. and Mackowski, Daniel W.},
month = may, month = may,
year = {1996}, year = {1996},
pages = {535-575}, pages = {535-575},
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} 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}
}
@article{hakala_lasing_2017,
title = {Lasing in Dark and Bright Modes of a Finite-Sized Plasmonic Lattice},
volume = {8},
copyright = {\textcopyright{} 2017 Macmillan Publishers Limited, part of Springer Nature. All rights reserved.},
issn = {2041-1723},
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.},
language = {en},
urldate = {2017-03-28},
journal = {Nature Communications},
doi = {10.1038/ncomms13687},
url = {http://www.nature.com/ncomms/2017/170103/ncomms13687/full/ncomms13687.html},
author = {Hakala, T. K. and Rekola, H. T. and V{\"a}kev{\"a}inen, A. I. and Martikainen, J.-P. and Ne{\v c}ada, M. and Moilanen, A. J. and T{\"o}rm{\"a}, P.},
month = jan,
year = {2017},
pages = {13687},
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}
} }
@article{mackowski_effective_2001, @article{mackowski_effective_2001,
@ -241,27 +278,40 @@
issn = {0022-4073}, issn = {0022-4073},
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.}, 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.},
number = {4\textendash{}6}, number = {4\textendash{}6},
urldate = {2017-06-05},
journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
doi = {10.1016/S0022-4073(01)00022-X}, doi = {10.1016/S0022-4073(01)00022-X},
url = {http://www.sciencedirect.com/science/article/pii/S002240730100022X},
author = {Mackowski, Daniel W.}, author = {Mackowski, Daniel W.},
month = aug, month = aug,
year = {2001}, year = {2001},
pages = {441-464}, pages = {441-464},
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} 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}
}
@article{tong_recent_2014,
title = {Recent {{Advances}} in {{Plasmonic Sensors}}},
volume = {14},
copyright = {http://creativecommons.org/licenses/by/3.0/},
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.},
language = {en},
number = {5},
journal = {Sensors},
doi = {10.3390/s140507959},
author = {Tong, Lianming and Wei, Hong and Zhang, Shunping and Xu, Hongxing},
month = may,
year = {2014},
keywords = {localized surface plasmon resonances (LSPRs),surface plasmon polaritons (SPPs),surface plasmon resonance (SPR) sensors,surface-enhanced Raman scattering (SERS)},
pages = {7959-7973},
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}
} }
@book{dresselhaus_group_2008, @book{dresselhaus_group_2008,
title = {Group {{Theory}}: {{Application}} to the {{Physics}} of {{Condensed Matter}}}, title = {Group {{Theory}}: {{Application}} to the {{Physics}} of {{Condensed Matter}}},
isbn = {978-3-540-32899-5}, isbn = {978-3-540-32899-5},
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...}, 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...},
urldate = {2017-10-31},
publisher = {{Springer, Berlin, Heidelberg}}, publisher = {{Springer, Berlin, Heidelberg}},
url = {//www.springer.com/us/book/9783540328971},
author = {Dresselhaus, Mildred S. and Dresselhaus, Gene and Jorio, Ado}, author = {Dresselhaus, Mildred S. and Dresselhaus, Gene and Jorio, Ado},
year = {2008}, year = {2008},
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} 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}
} }
@article{wang_rich_2018, @article{wang_rich_2018,
@ -270,15 +320,13 @@
issn = {1369-7021}, issn = {1369-7021},
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.}, 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.},
number = {3}, number = {3},
urldate = {2018-05-14},
journal = {Materials Today}, journal = {Materials Today},
doi = {10.1016/j.mattod.2017.09.002}, doi = {10.1016/j.mattod.2017.09.002},
url = {http://www.sciencedirect.com/science/article/pii/S1369702117306727},
author = {Wang, Weijia and Ramezani, Mohammad and V{\"a}kev{\"a}inen, Aaro I. and T{\"o}rm{\"a}, P{\"a}ivi and Rivas, Jaime G{\'o}mez and Odom, Teri W.}, author = {Wang, Weijia and Ramezani, Mohammad and V{\"a}kev{\"a}inen, Aaro I. and T{\"o}rm{\"a}, P{\"a}ivi and Rivas, Jaime G{\'o}mez and Odom, Teri W.},
month = apr, month = apr,
year = {2018}, year = {2018},
pages = {303-314}, pages = {303-314},
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} 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}
} }
@article{linton_lattice_2010, @article{linton_lattice_2010,
@ -289,23 +337,53 @@
number = {4}, number = {4},
journal = {SIAM Rev.}, journal = {SIAM Rev.},
doi = {10.1137/09075130X}, doi = {10.1137/09075130X},
url = {http://epubs.siam.org/doi/10.1137/09075130X},
author = {Linton, C.}, author = {Linton, C.},
month = jan, month = jan,
year = {2010}, year = {2010},
pages = {630-674}, pages = {630-674},
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} file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/T86ATKYB/09075130x.pdf;/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ETB8X4S9/09075130X.html}
} }
@book{bradley_mathematical_1972, @book{bradley_mathematical_1972,
title = {The Mathematical Theory of Symmetry in Solids; Representation Theory for Point Groups and Space Groups}, title = {The Mathematical Theory of Symmetry in Solids; Representation Theory for Point Groups and Space Groups},
isbn = {978-0-19-851920-1}, isbn = {978-0-19-851920-1},
urldate = {2018-07-25},
publisher = {{Clarendon Press, Oxford}}, publisher = {{Clarendon Press, Oxford}},
url = {http://gen.lib.rus.ec/book/index.php?md5=8539E3400CF65B6CC4FAC71B9DF286C5},
author = {Bradley, C. J. and Cracknell, A. P.}, author = {Bradley, C. J. and Cracknell, A. P.},
year = {1972}, year = {1972},
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} 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}
}
@article{NIST:DLMF,
title = {{{NIST Digital Library}} of {{Mathematical Functions}}},
note = {tex.key= DLMF
tex.url= http://dlmf.nist.gov/
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.}
}
@book{olver_nist_2010,
edition = {1 Pap/Cdr},
title = {{{NIST}} Handbook of Mathematical Functions},
isbn = {978-0-521-14063-8},
publisher = {{Cambridge University Press}},
author = {Olver, Frank W. J. and Lozier, Daniel W. and Boisvert, Ronald F. and Clark, Charles W.},
year = {2010},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ZJ5LBQ8W/Olver ym. - 2010 - NIST handbook of mathematical functions.pdf}
}
@article{linton_one-_2009,
title = {One- and Two-Dimensional Lattice Sums for the Three-Dimensional {{Helmholtz}} Equation},
volume = {228},
issn = {0021-9991},
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.},
number = {6},
journal = {Journal of Computational Physics},
doi = {10.1016/j.jcp.2008.11.013},
author = {Linton, C. M. and Thompson, I.},
month = apr,
year = {2009},
keywords = {Helmholtz equation,Clausen function,Ewald summation,Lattice reduction,Lattice sum,Schlömilch series},
pages = {1815-1829},
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}
} }
@article{moroz_quasi-periodic_2006, @article{moroz_quasi-periodic_2006,
@ -315,51 +393,26 @@
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.}, 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.},
language = {en}, language = {en},
number = {36}, number = {36},
urldate = {2018-08-14},
journal = {J. Phys. A: Math. Gen.}, journal = {J. Phys. A: Math. Gen.},
doi = {10.1088/0305-4470/39/36/009}, doi = {10.1088/0305-4470/39/36/009},
url = {http://stacks.iop.org/0305-4470/39/i=36/a=009},
author = {Moroz, Alexander}, author = {Moroz, Alexander},
year = {2006}, year = {2006},
pages = {11247}, pages = {11247},
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} 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}
} }
@article{linton_one-_2009, @article{kambe_theory_1967,
title = {One- and Two-Dimensional Lattice Sums for the Three-Dimensional {{Helmholtz}} Equation}, title = {Theory of {{Electron Diffraction}} by {{Crystals}}},
volume = {228}, volume = {22},
issn = {0021-9991}, issn = {1865-7109},
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.}, 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.},
number = {6}, number = {4},
urldate = {2018-08-14}, journal = {Zeitschrift f{\"u}r Naturforschung A},
journal = {Journal of Computational Physics}, doi = {10.1515/zna-1967-0402},
doi = {10.1016/j.jcp.2008.11.013}, author = {Kambe, Kyozaburo},
url = {http://www.sciencedirect.com/science/article/pii/S0021999108005962}, year = {1967},
author = {Linton, C. M. and Thompson, I.}, pages = {422--431},
month = apr, 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}
year = {2009},
keywords = {Helmholtz equation,Ewald summation,Clausen function,Lattice reduction,Lattice sum,Schlömilch series},
pages = {1815-1829},
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}
}
@book{olver_nist_2010,
edition = {1 Pap/Cdr},
title = {{{NIST}} Handbook of Mathematical Functions},
isbn = {978-0-521-14063-8},
urldate = {2018-08-20},
publisher = {{Cambridge University Press}},
url = {http://gen.lib.rus.ec/book/index.php?md5=7750A842DAAE07EBE30D597EB1352408},
author = {Olver, Frank W. J. and Lozier, Daniel W. and Boisvert, Ronald F. and Clark, Charles W.},
year = {2010},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ZJ5LBQ8W/Olver ym. - 2010 - NIST handbook of mathematical functions.pdf}
}
@article{NIST:DLMF,
title = {{{NIST Digital Library}} of {{Mathematical Functions}}},
key = {DLMF},
url = {http://dlmf.nist.gov/},
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.}
} }
@article{reid_efficient_2015, @article{reid_efficient_2015,
@ -371,32 +424,14 @@
issn = {0018-926X, 1558-2221}, issn = {0018-926X, 1558-2221},
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.}, 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.},
number = {8}, number = {8},
urldate = {2018-09-23},
journal = {IEEE Transactions on Antennas and Propagation}, journal = {IEEE Transactions on Antennas and Propagation},
doi = {10.1109/TAP.2015.2438393}, doi = {10.1109/TAP.2015.2438393},
url = {http://arxiv.org/abs/1307.2966},
author = {Reid, M. T. Homer and Johnson, Steven G.}, author = {Reid, M. T. Homer and Johnson, Steven G.},
month = aug, month = aug,
year = {2015}, year = {2015},
keywords = {Physics - Computational Physics,Physics - Classical Physics}, keywords = {Physics - Computational Physics,Physics - Classical Physics},
pages = {3588-3598}, pages = {3588-3598},
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} 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}
}
@article{guo_lasing_2019,
title = {Lasing at \${{K}}\$ {{Points}} of a {{Honeycomb Plasmonic Lattice}}},
volume = {122},
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.},
number = {1},
urldate = {2019-01-10},
journal = {Phys. Rev. Lett.},
doi = {10.1103/PhysRevLett.122.013901},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.013901},
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.},
month = jan,
year = {2019},
pages = {013901},
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}
} }
@article{mie_beitrage_1908, @article{mie_beitrage_1908,
@ -406,92 +441,13 @@
issn = {1521-3889}, issn = {1521-3889},
language = {en}, language = {en},
number = {3}, number = {3},
urldate = {2014-11-30},
journal = {Ann. Phys.}, journal = {Ann. Phys.},
doi = {10.1002/andp.19083300302}, doi = {10.1002/andp.19083300302},
url = {http://onlinelibrary.wiley.com/doi/10.1002/andp.19083300302/abstract},
author = {Mie, Gustav}, author = {Mie, Gustav},
month = jan, month = jan,
year = {1908}, year = {1908},
pages = {377-445}, pages = {377-445},
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} 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}
}
@book{kristensson_scattering_2016,
address = {{Edison, NJ}},
title = {Scattering of {{Electromagnetic Waves}} by {{Obstacles}}},
isbn = {978-1-61353-221-8},
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.},
language = {English},
publisher = {{Scitech Publishing}},
url = {http://gen.lib.rus.ec/book/index.php?md5=00CCB3E221E741ADDB2E236FD4A9F002},
author = {Kristensson, Gerhard},
month = jul,
year = {2016},
file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/ZRYZ4KLK/Kristensson - 2016 - Scattering of Electromagnetic Waves by Obstacles.pdf}
}
@article{ganesh_convergence_2012,
title = {Convergence Analysis with Parameter Estimates for a Reduced Basis Acoustic Scattering {{T}}-Matrix Method},
volume = {32},
issn = {0272-4979},
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},
language = {en},
number = {4},
urldate = {2019-07-03},
journal = {IMA J Numer Anal},
doi = {10.1093/imanum/drr041},
url = {https://academic.oup.com/imajna/article/32/4/1348/654510},
author = {Ganesh, M. and Hawkins, S. C. and Hiptmair, R.},
month = oct,
year = {2012},
pages = {1348-1374},
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}
}
@book{chew_fast_2000,
series = {Artech {{House Antennas}} and {{Propagation Library}}},
title = {Fast and {{Efficient Algorithms}} in {{Computational Electromagnetics}}},
isbn = {978-1-58053-152-8},
urldate = {2019-07-31},
publisher = {{Artech House Publishers}},
url = {http://gen.lib.rus.ec/book/index.php?md5=2A7D2CE03DB8CFC14E7189E9A441F759},
author = {Chew, Weng Cho and Jin, Jian-Ming and Michielssen, Eric and Song, Jiming},
year = {2000},
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}
}
@article{pourjamal_lasing_2019,
title = {Lasing in {{Ni Nanodisk Arrays}}},
abstract = {Lasing in Ni Nanodisk Arrays},
language = {en},
urldate = {2019-07-31},
journal = {ACS Nano},
doi = {10.1021/acsnano.9b01006},
url = {https://pubs.acs.org/doi/suppl/10.1021/acsnano.9b01006},
author = {Pourjamal, Sara and Hakala, Tommi K. and Ne{\v c}ada, Marek and {Freire-Fern{\'a}ndez}, Francisco and Kataja, Mikko and Rekola, Heikki and Martikainen, Jani-Petri and T{\"o}rm{\"a}, P{\"a}ivi and van Dijken, Sebastiaan},
month = apr,
year = {2019},
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}
}
@article{beyn_integral_2012,
series = {Special {{Issue}} Dedicated to {{Heinrich Voss}}'s 65th Birthday},
title = {An Integral Method for Solving Nonlinear Eigenvalue Problems},
volume = {436},
issn = {0024-3795},
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.},
number = {10},
urldate = {2019-08-03},
journal = {Linear Algebra and its Applications},
doi = {10.1016/j.laa.2011.03.030},
url = {http://www.sciencedirect.com/science/article/pii/S0024379511002540},
author = {Beyn, Wolf-J{\"u}rgen},
month = may,
year = {2012},
keywords = {Contour integrals,Nonlinear eigenvalue problems,Numerical methods},
pages = {3839-3863},
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}
} }
@article{ewald_berechnung_1921, @article{ewald_berechnung_1921,
@ -501,14 +457,86 @@
issn = {1521-3889}, issn = {1521-3889},
language = {en}, language = {en},
number = {3}, number = {3},
urldate = {2019-08-07},
journal = {Annalen der Physik}, journal = {Annalen der Physik},
doi = {10.1002/andp.19213690304}, doi = {10.1002/andp.19213690304},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.19213690304},
author = {Ewald, P. P.}, author = {Ewald, P. P.},
year = {1921}, year = {1921},
pages = {253-287}, pages = {253-287},
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} 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}
}
@article{beyn_integral_2012,
series = {Special {{Issue}} Dedicated to {{Heinrich Voss}}'s 65th Birthday},
title = {An Integral Method for Solving Nonlinear Eigenvalue Problems},
volume = {436},
issn = {0024-3795},
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.},
number = {10},
journal = {Linear Algebra and its Applications},
doi = {10.1016/j.laa.2011.03.030},
author = {Beyn, Wolf-J{\"u}rgen},
month = may,
year = {2012},
keywords = {Contour integrals,Nonlinear eigenvalue problems,Numerical methods},
pages = {3839-3863},
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}
}
@article{pourjamal_lasing_2019,
title = {Lasing in {{Ni Nanodisk Arrays}}},
abstract = {Lasing in Ni Nanodisk Arrays},
language = {en},
journal = {ACS Nano},
doi = {10.1021/acsnano.9b01006},
author = {Pourjamal, Sara and Hakala, Tommi K. and Ne{\v c}ada, Marek and {Freire-Fern{\'a}ndez}, Francisco and Kataja, Mikko and Rekola, Heikki and Martikainen, Jani-Petri and T{\"o}rm{\"a}, P{\"a}ivi and van Dijken, Sebastiaan},
month = apr,
year = {2019},
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}
}
@book{chew_fast_2000,
series = {Artech {{House Antennas}} and {{Propagation Library}}},
title = {Fast and {{Efficient Algorithms}} in {{Computational Electromagnetics}}},
isbn = {978-1-58053-152-8},
publisher = {{Artech House Publishers}},
author = {Chew, Weng Cho and Jin, Jian-Ming and Michielssen, Eric and Song, Jiming},
year = {2000},
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}
}
@book{kristensson_scattering_2016,
address = {{Edison, NJ}},
title = {Scattering of {{Electromagnetic Waves}} by {{Obstacles}}},
isbn = {978-1-61353-221-8},
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.},
language = {English},
publisher = {{Scitech Publishing}},
author = {Kristensson, Gerhard},
month = jul,
year = {2016},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ZRYZ4KLK/Kristensson - 2016 - Scattering of Electromagnetic Waves by Obstacles.pdf}
}
@article{ganesh_convergence_2012,
title = {Convergence Analysis with Parameter Estimates for a Reduced Basis Acoustic Scattering {{T}}-Matrix Method},
volume = {32},
issn = {0272-4979},
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},
language = {en},
number = {4},
journal = {IMA J Numer Anal},
doi = {10.1093/imanum/drr041},
author = {Ganesh, M. and Hawkins, S. C. and Hiptmair, R.},
month = oct,
year = {2012},
pages = {1348-1374},
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}
}
@misc{noauthor_nanoparticle_nodate,
title = {Nanoparticle {{Arrays}} | {{SpringerLink}}},
howpublished = {https://link.springer.com/referenceworkentry/10.1007\%2F978-3-319-15338-4\_27},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/MGTX4UJJ/10.html}
} }
@article{hakala_boseeinstein_2018, @article{hakala_boseeinstein_2018,
@ -519,15 +547,149 @@
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.}, 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.},
language = {en}, language = {en},
number = {7}, number = {7},
urldate = {2019-11-13},
journal = {Nature Phys}, journal = {Nature Phys},
doi = {10.1038/s41567-018-0109-9}, doi = {10.1038/s41567-018-0109-9},
url = {https://www.nature.com/articles/s41567-018-0109-9},
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}, 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},
month = jul, month = jul,
year = {2018}, year = {2018},
pages = {739-744}, pages = {739-744},
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} 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}
}
@article{khorasaninejad_metalenses_2017,
title = {Metalenses: {{Versatile}} Multifunctional Photonic Components},
volume = {358},
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.},
issn = {0036-8075, 1095-9203},
shorttitle = {Metalenses},
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
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.},
language = {en},
number = {6367},
journal = {Science},
doi = {10.1126/science.aam8100},
author = {Khorasaninejad, Mohammadreza and Capasso, Federico},
month = dec,
year = {2017},
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},
pmid = {28982796}
}
@article{castellanos_lattice_2019,
title = {Lattice Resonances in Dielectric Metasurfaces},
volume = {125},
issn = {0021-8979},
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.},
number = {21},
journal = {Journal of Applied Physics},
doi = {10.1063/1.5094122},
author = {Castellanos, Gabriel W. and Bai, Ping and G{\'o}mez Rivas, Jaime},
month = jun,
year = {2019},
pages = {213105},
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}
}
@article{ramezani_strong_2019,
title = {Strong Light-Matter Coupling and Exciton-Polariton Condensation in Lattices of Plasmonic Nanoparticles [{{Invited}}]},
volume = {36},
copyright = {\&\#169; 2019 Optical Society of America},
issn = {1520-8540},
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.},
language = {EN},
number = {7},
journal = {J. Opt. Soc. Am. B, JOSAB},
doi = {10.1364/JOSAB.36.000E88},
author = {Ramezani, Mohammad and Berghuis, Matthijs and Rivas, Jaime G{\'o}mez},
month = jul,
year = {2019},
keywords = {Condensed matter,Effective refractive index,Electric fields,Electromagnetic radiation,Energy transfer,Light matter interactions},
pages = {E88-E103},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/ZAIJEKA8/abstract.html}
}
@article{kuttner_plasmonics_2018,
title = {Plasmonics in {{Sensing}}: {{From Colorimetry}} to {{SERS Analytics}}},
shorttitle = {Plasmonics in {{Sensing}}},
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.},
language = {en},
journal = {Plasmonics},
doi = {10.5772/intechopen.79055},
author = {Kuttner, Christian},
month = nov,
year = {2018},
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}
}
@article{homola_surface_1999,
title = {Surface Plasmon Resonance Sensors: Review},
volume = {54},
issn = {0925-4005},
shorttitle = {Surface Plasmon Resonance Sensors},
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.},
language = {en},
number = {1},
journal = {Sensors and Actuators B: Chemical},
doi = {10.1016/S0925-4005(98)00321-9},
author = {Homola, Ji{\v r}\i\' and Yee, Sinclair S. and Gauglitz, G{\"u}nter},
month = jan,
year = {1999},
keywords = {Biosensor,Chemical sensor,Optical sensor,Surface plasmon resonance},
pages = {3-15},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/XSXPHBRJ/S0925400598003219.html}
}
@article{medgyesi-mitschang_generalized_1994,
title = {Generalized Method of Moments for Three-Dimensional Penetrable Scatterers},
volume = {11},
copyright = {\&\#169; 1994 Optical Society of America},
issn = {1520-8532},
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.},
language = {EN},
number = {4},
journal = {J. Opt. Soc. Am. A, JOSAA},
doi = {10.1364/JOSAA.11.001383},
author = {{Medgyesi-Mitschang}, L. N. and Putnam, J. M. and Gedera, M. B.},
month = apr,
year = {1994},
keywords = {Complex dielectric constant,Destructive interference,Electric fields,Laser scattering,Magnetic fields,Mie theory},
pages = {1383-1398},
file = {/home/mmn/.zotero/zotero/w4aj0ekp.default/zotero/storage/KJ8X4434/abstract.html}
}
@book{sullivan_electromagnetic_2013,
address = {{Hoboken, New Jersey}},
edition = {2 edition},
title = {Electromagnetic {{Simulation Using}} the {{FDTD Method}}},
isbn = {978-1-118-45939-3},
abstract = {A straightforward, easy-to-read introduction to the finite-difference time-domain (FDTD) method Finite-difference time-domain (FDTD) is one of the primary computational electrodynamics modeling techniques available. Since it is a time-domain method, FDTD solutions can cover a wide frequency range with a single simulation run and treat nonlinear material properties in a natural way. Written in a tutorial fashion, starting with the simplest programs and guiding the reader up from one-dimensional to the more complex, three-dimensional programs, this book provides a simple, yet comprehensive introduction to the most widely used method for electromagnetic simulation. This fully updated edition presents many new applications, including the FDTD method being used in the design and analysis of highly resonant radio frequency (RF) coils often used for MRI. Each chapter contains a concise explanation of an essential concept and instruction on its implementation into computer code. Projects that increase in complexity are included, ranging from simulations in free space to propagation in dispersive media. Additionally, the text offers downloadable MATLAB and C programming languages from the book support site (http://booksupport.wiley.com). Simple to read and classroom-tested, Electromagnetic Simulation Using the FDTD Method is a useful reference for practicing engineers as well as undergraduate and graduate engineering students.},
language = {English},
publisher = {{Wiley-IEEE Press}},
author = {Sullivan, Dennis M.},
month = jun,
year = {2013}
}
@incollection{raiyan_kabir_finite_2017,
address = {{Cham}},
series = {Springer {{Series}} in {{Optical Sciences}}},
title = {Finite {{Element Time Domain Method}} for {{Photonics}}},
isbn = {978-3-319-55438-9},
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.},
language = {en},
booktitle = {Recent {{Trends}} in {{Computational Photonics}}},
publisher = {{Springer International Publishing}},
author = {Raiyan Kabir, S. M. and Rahman, B. M. A. and Agrawal, A.},
editor = {Agrawal, Arti and Benson, Trevor and De La Rue, Richard M. and Wurtz, Gregory A.},
year = {2017},
pages = {1-37},
doi = {10.1007/978-3-319-55438-9_1}
} }

96
lepaper/intro.lyx
View File

@ -108,23 +108,99 @@ name "sec:Introduction"
The problem of electromagnetic response of a system consisting of many relativel The problem of electromagnetic response of a system consisting of many relativel
y small, compact scatterers in various geometries, and its numerical solution, y small, compact scatterers in various geometries, and its numerical solution,
is relevant to many branches of nanophotonics. is relevant to many branches of nanophotonics.
\begin_inset Marginal In practice, the scatterers often form some ordered structure, such as
metalic or dielectric nanoparticle arrays
\begin_inset CommandInset citation
LatexCommand cite
key "wang_rich_2018"
literal "false"
\end_inset
that offer many degrees of tunability, with applications including structural
color, ultra-thin lenses
\begin_inset CommandInset citation
LatexCommand cite
key "khorasaninejad_metalenses_2017"
literal "false"
\end_inset
, strong coupling between light and quantum emitters
\begin_inset CommandInset citation
LatexCommand cite
key "vakevainen_plasmonic_2014,ramezani_strong_2019,torma_strong_2015,fedele_strong_2016"
literal "false"
\end_inset
, nano-lasing
\begin_inset CommandInset citation
LatexCommand cite
key "zhou_lasing_2013,hakala_lasing_2017"
literal "false"
\end_inset
, Bose-Einstein condensation of surface plasmon-polaritons
\begin_inset CommandInset citation
LatexCommand cite
key "hakala_boseeinstein_2018,ramezani_strong_2019"
literal "false"
\end_inset
or sensing
\begin_inset CommandInset citation
LatexCommand cite
key "kuttner_plasmonics_2018"
literal "false"
\end_inset
.
The number of scatterers tends to be rather large; unfortunately, the most
common general approaches used in computational electrodynamics are often
unsuitable for simulating systems with larger number of scatterers due
to their computational complexity: differential methods such as the finite
difference time domain (FDTD,
\begin_inset CommandInset citation
LatexCommand cite
key "sullivan_electromagnetic_2013"
literal "false"
\end_inset
) method or the finite element method (FEM,
\begin_inset CommandInset citation
LatexCommand cite
key "raiyan_kabir_finite_2017"
literal "false"
\end_inset
\begin_inset Note Note
status open status open
\begin_layout Plain Layout \begin_layout Plain Layout
Some refs here? zkontroluj reference, přidej referenci na frequency domain fem
\end_layout \end_layout
\end_inset \end_inset
The most common general approaches used in computational electrodynamics ) include the field degrees of freedom (DoF) of the background medium (which
are often unsuitable for simulating systems with larger number of scatterers can have very large volumes), whereas integral approaches such as the boundary
due to their computational complexity: differential methods such as the element method (BEM, a.k.a the method of moments, MOM,
finite difference time domain (FDTD) method or the finite element method \begin_inset CommandInset citation
(FEM) include the field degrees of freedom (DoF) of the background medium LatexCommand cite
(which can have very large volumes), whereas integral approaches such as key "medgyesi-mitschang_generalized_1994,reid_efficient_2015"
the boundary element method (BEM) need much less DoF but require working literal "false"
with dense matrices containing couplings between each pair of DoF.
\end_inset
) need much less DoF but require working with dense matrices containing
couplings between each pair of DoF.
Therefore, a common (frequency-domain) approach to get an approximate solution Therefore, a common (frequency-domain) approach to get an approximate solution
of the scattering problem for many small particles has been the coupled of the scattering problem for many small particles has been the coupled
dipole approximation (CDA) where a drastic reduction of the number of DoF dipole approximation (CDA) where a drastic reduction of the number of DoF