Inverse scattering by a random periodic structure
Numerical Analysis
2020-08-13 v2 Numerical Analysis
Abstract
This paper develops an efficient numerical method for the inverse scattering problem of a time-harmonic plane wave incident on a perfectly reflecting random periodic structure. The method is based on a novel combination of the Monte Carlo technique for sampling the probability space, a continuation method with respect to the wavenumber, and the Karhunen-Love expansion of the random structure, which reconstructs key statistical properties of the profile for the unknown random periodic structure from boundary measurements of the scattered fields away from the structure. Numerical results are presented to demonstrate the reliability and efficiency of the proposed method.
Cite
@article{arxiv.2003.00642,
title = {Inverse scattering by a random periodic structure},
author = {Gang Bao and Yiwen Lin and Xiang Xu},
journal= {arXiv preprint arXiv:2003.00642},
year = {2020}
}