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Metamaterial applications of T matsolver, an easy-to-use software for simulating multiple wave scattering in two dimensions

Published version
Peer-reviewed

Repository DOI


Change log

Authors

Nethercote, MA 
Peterseim, D 

Abstract

jats:pMultiple scattering of waves is eminent in a wide range of applications and extensive research is being undertaken into multiple scattering by ever more complicated structures, with emphasis on the design of metamaterial structures that manipulate waves in a desired fashion. Ongoing research investigates the design of structures and new solution methods for the governing partial differential equations. There is a pressing need for easy-to-use software that empowers rapid prototyping of designs and for validating other solution methods. We develop a general formulation of the multiple scattering problem that facilitates efficient application of the multipole-based method. The shape and morphology of the scatterers is not restricted, provided their T-matrices are available. The multipole method is implemented in the Tjats:scmatsolver</jats:sc>software package, which uses our general formulation and the T-matrix methodology to simulate accurately multiple scattering by complex configurations with a large number of identical or non-identical scatterers that can have complex shapes and/or morphologies. This article provides a mathematical description of the algorithm and demonstrates application of the software to four contemporary metamaterial problems. It concludes with a brief overview of the object-oriented structure of the Tjats:scmatsolver</jats:sc>code.</jats:p>

Description

Peer reviewed: True


Publication status: Published

Keywords

4006 Communications Engineering, 40 Engineering

Journal Title

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Conference Name

Journal ISSN

1364-5021
1471-2946

Volume Title

480

Publisher

The Royal Society
Sponsorship
Engineering and Physical Sciences Research Council (EP/R014604/1)
Australian Research Council (DP200102828, DP220102243, FT190100404)
Deutsche Forschungsgemeinschaft (EXC-2047/1 – 390685813)
European Research Council (865751)