Analysis of Time-Domain Scattering by Periodic Structures

2016/04/04 by Gao, Yixian, Li, Peijun
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.00944

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.

Related

• Time Dependent Scattering from a Grating
• Time-harmonic scattering by locally perturbed periodic structures with Dirichlet and Neumann boundary conditions
• Electromagnetic Scattering for Time-Domain Maxwell's Equations in an Unbounded Structure
• Trefftz Discontinuous Galerkin methods for scattering by periodic structures
• Diffraction of waves by screens (apertures in screens) with time-varying dimensions. Time-varying Kirchhoff's integral representation for moving boundaries