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Volume 30, Issue 2
Multiple-Scattering $T$-Matrix Simulations for Nanophotonics: Symmetries and Periodic Lattices

Marek Nečada & Päivi Törmä

DOI: 10.4208/cicp.OA-2020-0136

Commun. Comput. Phys., 30 (2021), pp. 357-395.

Published online: 2021-05

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  • Abstract

The multiple scattering method T-matrix (MSTMM) can be used to solve the electromagnetic response of systems consisting of many compact scatterers, retaining a good level of accuracy while using relatively few degrees of freedom, largely surpassing other methods in the number of scatterers it can deal with. Here we extend the method to infinite periodic structures using Ewald-type lattice summation, and we exploit the possible symmetries of the structure to further improve its efficiency, so that systems containing tens of thousands of particles can be studied with relative ease. We release a modern implementation of the method, including the theoretical improvements presented here, under GNU General Public Licence.

  • Keywords

T-matrix, multiple scattering, lattice modes, symmetry-adapted basis, metamaterials, Ewald summation.

  • AMS Subject Headings

78-10, 78-04, 78M16, 78A45, 65R20, 35B27

  • Copyright

COPYRIGHT: © Global Science Press

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  • BibTex
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@Article{CiCP-30-357, author = {Nečada , Marek and Törmä , Päivi}, title = {Multiple-Scattering $T$-Matrix Simulations for Nanophotonics: Symmetries and Periodic Lattices}, journal = {Communications in Computational Physics}, year = {2021}, volume = {30}, number = {2}, pages = {357--395}, abstract = {

The multiple scattering method T-matrix (MSTMM) can be used to solve the electromagnetic response of systems consisting of many compact scatterers, retaining a good level of accuracy while using relatively few degrees of freedom, largely surpassing other methods in the number of scatterers it can deal with. Here we extend the method to infinite periodic structures using Ewald-type lattice summation, and we exploit the possible symmetries of the structure to further improve its efficiency, so that systems containing tens of thousands of particles can be studied with relative ease. We release a modern implementation of the method, including the theoretical improvements presented here, under GNU General Public Licence.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2020-0136}, url = {http://global-sci.org/intro/article_detail/cicp/19118.html} }
TY - JOUR T1 - Multiple-Scattering $T$-Matrix Simulations for Nanophotonics: Symmetries and Periodic Lattices AU - Nečada , Marek AU - Törmä , Päivi JO - Communications in Computational Physics VL - 2 SP - 357 EP - 395 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/10.4208/cicp.OA-2020-0136 UR - https://global-sci.org/intro/article_detail/cicp/19118.html KW - T-matrix, multiple scattering, lattice modes, symmetry-adapted basis, metamaterials, Ewald summation. AB -

The multiple scattering method T-matrix (MSTMM) can be used to solve the electromagnetic response of systems consisting of many compact scatterers, retaining a good level of accuracy while using relatively few degrees of freedom, largely surpassing other methods in the number of scatterers it can deal with. Here we extend the method to infinite periodic structures using Ewald-type lattice summation, and we exploit the possible symmetries of the structure to further improve its efficiency, so that systems containing tens of thousands of particles can be studied with relative ease. We release a modern implementation of the method, including the theoretical improvements presented here, under GNU General Public Licence.

Nečada , Marek and Törmä , Päivi. (2021). Multiple-Scattering $T$-Matrix Simulations for Nanophotonics: Symmetries and Periodic Lattices. Communications in Computational Physics. 30 (2). 357-395. doi:10.4208/cicp.OA-2020-0136
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