Multiple-Scattering $T$-Matrix Simulations for Nanophotonics: Symmetries and Periodic Lattices

Multiple-Scattering $T$-Matrix Simulations for Nanophotonics: Symmetries and Periodic Lattices

Year:    2021

Author:    Marek Nečada, Päivi Törmä

Communications in Computational Physics, Vol. 30 (2021), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2020-0136

Communications in Computational Physics, Vol. 30 (2021), Iss. 2 : pp. 357–395

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    39

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

Author Details

Marek Nečada

Päivi Törmä