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arXiv · 1010.6246

Homogenization of Maxwell's equations in periodic composites

Vadim A. Markel·John C. Schotland
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Abstract

We consider the problem of homogenizing the Maxwell equations for periodic composites. The analysis is based on Bloch-Floquet theory. We calculate explicitly the reflection coefficient for a half-space, and derive and implement a computationally-efficient continued-fraction expansion for the effective permittivity. Our results are illustrated by numerical computations for the case of two-dimensional systems. The homogenization theory of this paper is designed to predict various physically-measurable quantities rather than to simply approximate certain coefficients in a PDE.

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Vadim A. Markel, John C. Schotland. 2012-05-23. Homogenization of Maxwell's equations in periodic composites. https://doi.org/10.1103/physreve.85.066603

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