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arXiv · 2004.00359

A convolution quadrature method for Maxwell's equations in dispersive media

Jürgen Dölz·Herbert Egger·Vsevolod Shashkov
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Abstract

We study the systematic numerical approximation of Maxwell's equations in dispersive media. Two discretization strategies are considered, one based on a traditional leapfrog time integration method and the other based on convolution quadrature. The two schemes are proven to be equivalent and to preserve the underlying energy-dissipation structure of the problem. The second approach, however, is independent of the number of internal states and allows to handle rather general dispersive materials. Using ideas of fast-and-oblivious convolution quadrature, the method can be implemented efficiently.

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Jürgen Dölz, Herbert Egger, Vsevolod Shashkov. 2020-04-01. A convolution quadrature method for Maxwell's equations in dispersive media. https://arxiv.org/abs/2004.00359

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