A domain integral equation approach for simulating two dimensional transverse electric scattering in a layered medium with a Gabor frame discretization

JOURNAL OF COMPUTATIONAL PHYSICS

卷:345

Article

Dilz, R. J.¹  van Beurden, M. C.¹ 

[1] Gebouw Flux, Postbus 513, NL-5600 MB Eindhoven, Netherlands

关键词: Gabor frame;    Integral equation;    Electromagnetic scattering;    Green function;   

DOI  :  10.1016/j.jcp.2017.05.034

来源: Elsevier

【 摘 要 】

We solve the 2D transverse-electrically polarized domain-integral equation in a layered background medium by applying a Gabor frame as a projection method. This algorithm employs both a spatial and a spectral discretization of the electric field and the contrast current in the direction of the layer extent. In the spectral domain we use a representation on the complex plane that avoids the poles and branchcuts found in the Green function. Because of the special choice of the complex-plane path in the spectral domain and because of the choice to use a Gabor frame to represent functions on this path, fast algorithms based on FM are available to transform to and from the spectral domain, yielding an O (N log N) scaling in computation time. (C) 2017 The Authors. Published by Elsevier Inc.

【 授权许可】

Free