Imaging of bi-anisotropic periodic structures from electromagnetic near field data

TL;DR

This paper develops a rigorous and efficient factorization-based method for reconstructing the shape of three-dimensional bi-anisotropic periodic structures from electromagnetic near field data, advancing inverse scattering techniques.

Contribution

It provides a theoretical justification and a fast imaging algorithm for the inverse scattering problem in bi-anisotropic periodic media.

Findings

Unique determination of periodic scatterers achieved.

Fast imaging algorithm demonstrated with numerical examples.

Effective reconstruction of 3D periodic structures shown.

Abstract

This paper is concerned with the inverse scattering problem for the three-dimensional Maxwell's equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic scatterers from electromagnetic near field data at a fixed frequency. The Factorization method is studied as an analytical and numerical tool for solving the inverse problem. We provide a rigorous justification of the Factorization method which results in the unique determination and a fast imaging algorithm for the periodic scatterer. Numerical examples for imaging three-dimensional periodic structures are presented to examine the efficiency of the method.