On analyticity of linear waves scattered by a layered medium

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Nicholls, David P.¹ 

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA

关键词: High-Order Perturbation of Surfaces methods;    Layered media;    Linear wave scattering;    Helmholtz equation;    Diffraction gratings;   

DOI  :  10.1016/j.jde.2017.06.012

来源: Elsevier

【 摘 要 】

The scattering of linear waves by periodic structures is a crucial phenomena in many branches of applied physics and engineering. In this paper we establish rigorous analytic results necessary for the proper numerical analysis of a class of High-Order Perturbation of Surfaces methods for simulating such waves. More specifically, we prove a theorem on existence and uniqueness of solutions to a system of partial differential equations which model the interaction of linear waves with a multiply layered periodic structure in three dimensions. This result provides hypotheses under which a rigorous numerical analysis could be conducted for recent generalizations to the methods of Operator Expansions, Field Expansions, and Transformed Field Expansions. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free