The Interior Inverse Electromagnetic Scattering for an Inhomogeneous Cavity
Analysis of PDEs
2020-12-10 v1 Numerical Analysis
Numerical Analysis
Abstract
In this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered wave fields measured on some surface inside the cavity, where such scattered wave fields are due to sources emitted on the same surface. We first prove that the measurements uniquely determine the shape of the cavity, where we make use of a boundary value problem called the exterior transmission problem. We then complete the inverse scattering problem by designing the linear sampling method to reconstruct the cavity. Numerical examples are further provided to illustrate the viability of our algorithm.
Cite
@article{arxiv.2012.04870,
title = {The Interior Inverse Electromagnetic Scattering for an Inhomogeneous Cavity},
author = {Fang Zeng and Shixu Meng},
journal= {arXiv preprint arXiv:2012.04870},
year = {2020}
}