Time dependent scattering from a grating

JOURNAL OF COMPUTATIONAL PHYSICS

卷:302

Article

Fan, Li¹  Monk, Peter¹ 

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

关键词: Diffraction grating;    Time domain;    Convolution quadrature;    Existence;    Error estimate;    Finite element;   

DOI  :  10.1016/j.jcp.2015.07.067

来源: Elsevier

【 摘 要 】

Computing the electromagnetic field due to a periodic grating is critical for assessing the performance of thin film solar voltaic devices. In this paper we investigate the computation of these fields in the time domain (similar problems also arise in simulating antennas). Assuming a translation invariant periodic grating this reduces to solving the wave equation in a periodic domain. Materials used in practical devices have frequency dependent coefficients, and we provide a first proof of existence and uniqueness for a general class of such materials. Using Convolution Quadrature we can then prove time stepping error estimates. We end with some preliminary numerical results that demonstrate the convergence and stability of the scheme. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free