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arXiv · 1604.00944

Analysis of Time-Domain Scattering by Periodic Structures

Yixian Gao·Peijun Li
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Abstract

This paper is devoted to the mathematical analysis of a time-domain electromagnetic scattering by periodic structures which are known as diffraction gratings. The scattering problem is reduced equivalently into an initial-boundary value problem in a bounded domain by using an exact transparent boundary condition. The well-posedness and stability of the solution are established for the reduced problem. Moreover, a priori energy estimates are obtained with minimum regularity requirement for the data and explicit dependence on the time.

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Yixian Gao, Peijun Li. 2016-04-04. Analysis of Time-Domain Scattering by Periodic Structures. https://arxiv.org/abs/1604.00944

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