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Analysis of Time-Domain Scattering by Periodic Structures

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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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      Journal
      2016-04-04
      1604.00944

      http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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      math.AP

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