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

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Nethercote, Matthew A 
Peterseim, Daniel 


jats:p Multiple 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 T jats: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 T jats:scmatsolver</jats:sc> code. </jats:p>


Peer reviewed: True

Publication status: Published


metamaterials, wave propagation, Rayleigh–Bloch waves, T-matrix, multiple wave scattering

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

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The Royal Society
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)