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arXiv · 1201.0690

On Uniqueness in Electromagnetic Scattering from Biperiodic Structures

Armin Lechleiter·Dinh-Liem Nguyen
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Abstract

Consider time-harmonic electromagnetic wave scattering from a biperiodic dielectric structure mounted on a perfectly conducting plate in three dimensions. Given that uniqueness of solution holds, existence of solution follows from a well-known Fredholm framework for the variational formulation of the problem in a suitable Sobolev space. In this paper, we derive a Rellich identity for a solution to this variational problem under suitable smoothness conditions on the material parameter. Under additional non-trapping assumptions on the material parameter, this identity allows us to establish uniqueness of solution for all wave numbers.

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Armin Lechleiter, Dinh-Liem Nguyen. 2012-11-16. On Uniqueness in Electromagnetic Scattering from Biperiodic Structures. https://arxiv.org/abs/1201.0690

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