Analysis of time-domain scattering by periodic structures

作者：Gao, Yixian; Li, Peijun^*

来源：Journal of Differential Equations, 2016, 261(9): 5094-5118.

DOI：10.1016/j.jde.2016.07.020

• Time-domain Maxwell's equations
• Diffraction gratings
• Well-posedness and stability
• A priori estimates

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.

• 出版日期2016-11-5
• 单位东北师范大学