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

作者：R. Dilz, M. C. Beurden · 发表于：Journal of Computational Physics · 年份：2017 · DOI：10.1016/j.jcp.2017.05.034 · 被引用次数：9 · 研究领域：Computer Science、Mathematics

Abstract 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 FFTs are available to transform to and from the spectral domain, yielding an O ( N log ⁡ N ) scaling in computation time.