
@book{bohren_absorption_1983,
  title = {Absorption and Scattering of Light by Small Particles},
  abstract = {Not Available},
  urldate = {2014-05-09},
  url = {http://adsabs.harvard.edu/abs/1983asls.book.....B},
  author = {Bohren, Craig F. and Huffman, Donald R.},
  year = {1983},
  keywords = {Particles,LIGHT SCATTERING,ABSORPTION,DUST,THEORY},
  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}
}

@misc{SCUFF2,
  title = {{{SCUFF}}-{{EM}}},
  url = {http://homerreid.dyndns.org/scuff-EM/},
  author = {Reid, Homer},
  year = {2018},
  note = {http://github.com/homerreid/scuff-EM}
}

@article{xu_calculation_1996,
  title = {Calculation of the {{Addition Coefficients}} in {{Electromagnetic Multisphere}}-{{Scattering Theory}}},
  volume = {127},
  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.},
  number = {2},
  urldate = {2015-11-22},
  journal = {Journal of Computational Physics},
  doi = {10.1006/jcph.1996.0175},
  url = {http://www.sciencedirect.com/science/article/pii/S0021999196901758},
  author = {Xu, Yu-lin},
  month = sep,
  year = {1996},
  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}
}

@article{xu_efficient_1998,
  title = {Efficient {{Evaluation}} of {{Vector Translation Coefficients}} in {{Multiparticle Light}}-{{Scattering Theories}}},
  volume = {139},
  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.},
  number = {1},
  urldate = {2015-11-18},
  journal = {Journal of Computational Physics},
  doi = {10.1006/jcph.1997.5867},
  url = {http://www.sciencedirect.com/science/article/pii/S0021999197958678},
  author = {Xu, Yu-lin},
  month = jan,
  year = {1998},
  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}
}

@book{mishchenko_light_1999-1,
  title = {Light {{Scattering}} by {{Nonspherical Particles}}: {{Theory}}, {{Measurements}}, and {{Applications}}},
  isbn = {978-0-08-051020-0},
  shorttitle = {Light {{Scattering}} by {{Nonspherical Particles}}},
  abstract = {There is hardly a field of science or engineering that does not have some interest in light scattering by small particles. For example, this subject is important to climatology because the energy budget for the Earth's atmosphere is strongly affected by scattering of solar radiation by cloud and aerosol particles, and the whole discipline of remote sensing relies largely on analyzing the parameters of radiation scattered by aerosols, clouds, and precipitation. The scattering of light by spherical particles can be easily computed using the conventional Mie theory. However, most small solid particles encountered in natural and laboratory conditions have nonspherical shapes. Examples are soot and mineral aerosols, cirrus cloud particles, snow and frost crystals, ocean hydrosols, interplanetary and cometary dust grains, and microorganisms. It is now well known that scattering properties of nonspherical particles can differ dramatically from those of "equivalent" (e.g., equal-volume or equal-surface-area) spheres. Therefore, the ability to accurately compute or measure light scattering by nonspherical particles in order to clearly understand the effects of particle nonsphericity on light scattering is very important.The rapid improvement of computers and experimental techniques over the past 20 years and the development of efficient numerical approaches have resulted in major advances in this field which have not been systematically summarized. Because of the universal importance of electromagnetic scattering by nonspherical particles, papers on different aspects of this subject are scattered over dozens of diverse research and engineering journals. Often experts in one discipline (e.g., biology) are unaware of potentially useful results obtained in another discipline (e.g., antennas and propagation). This leads to an inefficient use of the accumulated knowledge and unnecessary redundancy in research activities.This book offers the first systematic and unified discussion of light scattering by nonspherical particles and its practical applications and represents the state-of-the-art of this importantresearch field. Individual chapters are written by leading experts in respective areas and cover three major disciplines: theoretical and numerical techniques, laboratory measurements, and practical applications. An overview chapter provides a concise general introduction to the subject of nonspherical scattering and should be especially useful to beginners and those interested in fast practical applications. The audience for this book will include graduate students, scientists, and engineers working on specific aspects of electromagnetic scattering by small particles and its applications in remote sensing, geophysics, astrophysics, biomedical optics, and optical engineering.* The first systematic and comprehensive treatment of electromagnetic scattering by nonspherical particles and its applications* Individual chapters are written by leading experts in respective areas* Includes a survey of all the relevant literature scattered over dozens of basic and applied research journals* Consistent use of unified definitions and notation makes the book a coherent volume* An overview chapter provides a concise general introduction to the subject of light scattering by nonspherical particles* Theoretical chapters describe specific easy-to-use computer codes publicly available on the World Wide Web* Extensively illustrated with over 200 figures, 4 in color},
  language = {en},
  publisher = {{Academic Press}},
  author = {Mishchenko, Michael I. and Hovenier, Joachim W. and Travis, Larry D.},
  month = sep,
  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}
}

@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}
}

@book{jackson_classical_1998,
  address = {{New York}},
  edition = {3 edition},
  title = {Classical {{Electrodynamics Third Edition}}},
  isbn = {978-0-471-30932-1},
  abstract = {A revision of the defining book covering the physics and classical mathematics necessary to understand electromagnetic fields in materials and at surfaces and interfaces. The third edition has been revised to address the changes in emphasis and applications that have occurred in the past twenty years.},
  language = {English},
  publisher = {{Wiley}},
  author = {Jackson, John David},
  month = aug,
  year = {1998},
  file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.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,
  title = {T-Matrix {{Method}} and {{Its Applications}}},
  isbn = {978-0-08-051020-0},
  abstract = {There is hardly a field of science or engineering that does not have some interest in light scattering by small particles. For example, this subject is important to climatology because the energy budget for the Earth's atmosphere is strongly affected by scattering of solar radiation by cloud and aerosol particles, and the whole discipline of remote sensing relies largely on analyzing the parameters of radiation scattered by aerosols, clouds, and precipitation. The scattering of light by spherical particles can be easily computed using the conventional Mie theory. However, most small solid particles encountered in natural and laboratory conditions have nonspherical shapes. Examples are soot and mineral aerosols, cirrus cloud particles, snow and frost crystals, ocean hydrosols, interplanetary and cometary dust grains, and microorganisms. It is now well known that scattering properties of nonspherical particles can differ dramatically from those of "equivalent" (e.g., equal-volume or equal-surface-area) spheres. Therefore, the ability to accurately compute or measure light scattering by nonspherical particles in order to clearly understand the effects of particle nonsphericity on light scattering is very important.The rapid improvement of computers and experimental techniques over the past 20 years and the development of efficient numerical approaches have resulted in major advances in this field which have not been systematically summarized. Because of the universal importance of electromagnetic scattering by nonspherical particles, papers on different aspects of this subject are scattered over dozens of diverse research and engineering journals. Often experts in one discipline (e.g., biology) are unaware of potentially useful results obtained in another discipline (e.g., antennas and propagation). This leads to an inefficient use of the accumulated knowledge and unnecessary redundancy in research activities.This book offers the first systematic and unified discussion of light scattering by nonspherical particles and its practical applications and represents the state-of-the-art of this importantresearch field. Individual chapters are written by leading experts in respective areas and cover three major disciplines: theoretical and numerical techniques, laboratory measurements, and practical applications. An overview chapter provides a concise general introduction to the subject of nonspherical scattering and should be especially useful to beginners and those interested in fast practical applications. The audience for this book will include graduate students, scientists, and engineers working on specific aspects of electromagnetic scattering by small particles and its applications in remote sensing, geophysics, astrophysics, biomedical optics, and optical engineering.* The first systematic and comprehensive treatment of electromagnetic scattering by nonspherical particles and its applications* Individual chapters are written by leading experts in respective areas* Includes a survey of all the relevant literature scattered over dozens of basic and applied research journals* Consistent use of unified definitions and notation makes the book a coherent volume* An overview chapter provides a concise general introduction to the subject of light scattering by nonspherical particles* Theoretical chapters describe specific easy-to-use computer codes publicly available on the World Wide Web* Extensively illustrated with over 200 figures, 4 in color},
  language = {en},
  booktitle = {Light {{Scattering}} by {{Nonspherical Particles}}: {{Theory}}, {{Measurements}}, and {{Applications}}},
  publisher = {{Academic Press}},
  author = {Mishchenko, Michael I. and {Travis, Larry D.} and Macke, Andreas},
  editor = {Mishchenko, Michael I. and Hovenier, Joachim W. and Travis, Larry D.},
  month = sep,
  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},
  pages = {147-172}
}

@article{schulz_point-group_1999,
  title = {Point-Group Symmetries in Electromagnetic Scattering},
  volume = {16},
  issn = {1084-7529, 1520-8532},
  language = {en},
  number = {4},
  urldate = {2016-08-04},
  journal = {Journal of the Optical Society of America A},
  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.},
  month = apr,
  year = {1999},
  pages = {853},
  file = {/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/X9X48A6G/josaa-16-4-853.pdf}
}

@article{mishchenko_t-matrix_1994,
  title = {T-Matrix Computations of Light Scattering by Large Spheroidal Particles},
  volume = {109},
  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.},
  number = {1\textendash{}2},
  urldate = {2017-01-18},
  journal = {Optics Communications},
  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.},
  month = jun,
  year = {1994},
  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}
}

@article{mishchenko_t-matrix_1996,
  series = {Light {{Scattering}} by {{Non}}-{{Spherical Particles}}},
  title = {T-Matrix Computations of Light Scattering by Nonspherical Particles: {{A}} Review},
  volume = {55},
  issn = {0022-4073},
  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.},
  number = {5},
  urldate = {2017-01-18},
  journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
  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.},
  month = may,
  year = {1996},
  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}
}

@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,
  series = {Light {{Scattering}} by {{Non}}-{{Spherical Particles}}},
  title = {An Effective Medium Method for Calculation of the {{T}} Matrix of Aggregated Spheres},
  volume = {70},
  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.},
  number = {4\textendash{}6},
  urldate = {2017-06-05},
  journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
  doi = {10.1016/S0022-4073(01)00022-X},
  url = {http://www.sciencedirect.com/science/article/pii/S002240730100022X},
  author = {Mackowski, Daniel W.},
  month = aug,
  year = {2001},
  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}
}

@book{dresselhaus_group_2008,
  title = {Group {{Theory}}: {{Application}} to the {{Physics}} of {{Condensed Matter}}},
  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...},
  urldate = {2017-10-31},
  publisher = {{Springer, Berlin, Heidelberg}},
  url = {//www.springer.com/us/book/9783540328971},
  author = {Dresselhaus, Mildred S. and Dresselhaus, Gene and Jorio, Ado},
  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}
}

@article{linton_lattice_2010,
  title = {Lattice {{Sums}} for the {{Helmholtz Equation}}},
  volume = {52},
  issn = {0036-1445},
  abstract = {A survey of different representations for lattice sums for the Helmholtz equation is made. These sums arise naturally when dealing with wave scattering by periodic structures. One of the main objectives is to show how the various forms depend on the dimension d of the underlying space and the lattice dimension \$d\_\textbackslash{}Lambda\$. Lattice sums are related to, and can be calculated from, the quasi-periodic Green's function and this object serves as the starting point of the analysis.},
  number = {4},
  journal = {SIAM Rev.},
  doi = {10.1137/09075130X},
  url = {http://epubs.siam.org/doi/10.1137/09075130X},
  author = {Linton, C.},
  month = jan,
  year = {2010},
  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}
}

@book{bradley_mathematical_1972,
  title = {The Mathematical Theory of Symmetry in Solids; Representation Theory for Point Groups and Space Groups},
  isbn = {978-0-19-851920-1},
  urldate = {2018-07-25},
  publisher = {{Clarendon Press, Oxford}},
  url = {http://gen.lib.rus.ec/book/index.php?md5=8539E3400CF65B6CC4FAC71B9DF286C5},
  author = {Bradley, C. J. and Cracknell, A. P.},
  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}
}

@article{moroz_quasi-periodic_2006,
  title = {Quasi-Periodic {{Green}}'s Functions of the {{Helmholtz}} and {{Laplace}} Equations},
  volume = {39},
  issn = {0305-4470},
  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},
  number = {36},
  urldate = {2018-08-14},
  journal = {J. Phys. A: Math. Gen.},
  doi = {10.1088/0305-4470/39/36/009},
  url = {http://stacks.iop.org/0305-4470/39/i=36/a=009},
  author = {Moroz, Alexander},
  year = {2006},
  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}
}

@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},
  urldate = {2018-08-14},
  journal = {Journal of Computational Physics},
  doi = {10.1016/j.jcp.2008.11.013},
  url = {http://www.sciencedirect.com/science/article/pii/S0021999108005962},
  author = {Linton, C. M. and Thompson, I.},
  month = apr,
  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}}},
  url = {http://dlmf.nist.gov/},
  key = {DLMF},
  note = {F.~W.~J. Olver, A.~B. Olde Daalhuis, D.~W. Lozier, B.~I. Schneider, R.~F. Boisvert, C.~W. Clark, B.~R. Miller and B.~V. Saunders, eds.}
}

@article{reid_efficient_2015,
  archivePrefix = {arXiv},
  eprinttype = {arxiv},
  eprint = {1307.2966},
  title = {Efficient {{Computation}} of {{Power}}, {{Force}}, and {{Torque}} in {{BEM Scattering Calculations}}},
  volume = {63},
  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.},
  number = {8},
  urldate = {2018-09-23},
  journal = {IEEE Transactions on Antennas and Propagation},
  doi = {10.1109/TAP.2015.2438393},
  url = {http://arxiv.org/abs/1307.2966},
  author = {Reid, M. T. Homer and Johnson, Steven G.},
  month = aug,
  year = {2015},
  keywords = {Physics - Classical Physics,Physics - Computational Physics},
  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}
}

@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/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,
  title = {Beitr{\"a}ge Zur {{Optik}} Tr{\"u}ber {{Medien}}, Speziell Kolloidaler {{Metall{\"o}sungen}}},
  volume = {330},
  copyright = {Copyright \textcopyright{} 1908 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim},
  issn = {1521-3889},
  language = {en},
  number = {3},
  urldate = {2014-11-30},
  journal = {Ann. Phys.},
  doi = {10.1002/andp.19083300302},
  url = {http://onlinelibrary.wiley.com/doi/10.1002/andp.19083300302/abstract},
  author = {Mie, Gustav},
  month = jan,
  year = {1908},
  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}
}

@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}
}

@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/C4SN68I6/Pourjamal ym. - 2019 - Lasing in Ni Nanodisk Arrays.pdf;/u/46/necadam1/unix/.mozilla/firefox/6m8fw48s.default/zotero/storage/S6AU6FV9/acsnano.html}
}


