Analysis of Time-Domain Scattering by Periodic Structures
Analysis of PDEs
2016-04-05 v1
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.
Cite
@article{arxiv.1604.00944,
title = {Analysis of Time-Domain Scattering by Periodic Structures},
author = {Yixian Gao and Peijun Li},
journal= {arXiv preprint arXiv:1604.00944},
year = {2016}
}