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The Discontinuous Galerkin Time-Domain method for Maxwell’s equations with anisotropic materials

✍ Scribed by Michael König; Kurt Busch; Jens Niegemann

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
303 KB
Volume
8
Category
Article
ISSN
1569-4410

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✦ Synopsis

The Discontinuous Galerkin method is an accurate and efficient way to numerically solve the time-dependent Maxwell equations. In this paper, we extend the basic, two-dimensional formulation for isotropic materials to allow anisotropic permittivity tensors. Using a reference system with an analytical solution, we demonstrate that our extensions do not alter the superior convergence characteristics of the fundamental algorithm. We further apply our method to cylindrical invisibility cloaks to investigate the performance which can be achieved in experiments.

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