Multi-frequency acousto-electromagnetic tomography

TL;DR

This paper advances acousto-electromagnetic tomography by developing a Landweber iteration algorithm that improves reconstruction accuracy and stability using multiple frequencies, supported by numerical simulations.

Contribution

It introduces a novel iterative reconstruction method for the general inverse problem in acousto-electromagnetic tomography, extending beyond the Born approximation.

Findings

Convergence of the Landweber scheme is guaranteed with multiple frequencies.

The method ensures uniqueness and stability of the inverse problem.

Numerical simulations validate the effectiveness of the approach.

Abstract

This paper focuses on the acousto-electromagnetic tomography, a recently introduced hybrid imaging technique. In a previous work, the reconstruction of the electric permittivity of the medium from internal data was achieved under the Born approximation assumption. In this work, we tackle the general problem by a Landweber iteration algorithm. The convergence of such scheme is guaranteed with the use of a multiple frequency approach, that ensures uniqueness and stability for the corresponding linearized inverse problem. Numerical simulations are presented.