Determination of the unknown support of thin penetrable inclusions within a half-space from multi-frequency response matrix

TL;DR

This paper introduces a non-iterative method to accurately determine the support of thin electromagnetic inclusions within a half-space using multi-frequency response data, based on asymptotic modeling of scattering amplitudes.

Contribution

It presents a novel non-iterative algorithm leveraging asymptotic expansion for reconstructing the support of thin penetrable inclusions from multi-frequency MSR data.

Findings

Supports accurate reconstruction of inclusion support curves

Effective with both noiseless and noisy data

Demonstrates good performance in numerical simulations

Abstract

Thin, penetrable electromagnetic inclusions buried within a half space are retrieved from Multi-Static Response (MSR) matrix data collected above this half space at several frequencies. A non-iterative algorithm is proposed to that aim. It relies on the modeling of the MSR matrix according to a rigorous asymptotic expansion of the scattering amplitude. The supporting curves of single as well as multiple thin inclusions are retrieved in fairly good fashion. This is illustrated by a set of numerical inversions that are carried out from synthetic data, both noiseless and noisy ones.