Inverse Source Problem for Acoustically-Modulated Electromagnetic Waves

TL;DR

This paper introduces a method to reconstruct electrical current density from boundary measurements of electromagnetic fields modulated acoustically, demonstrating unique reconstruction with stability and supporting results through numerical simulations.

Contribution

The paper presents a novel approach for reconstructing current density using acoustically-modulated electromagnetic boundary data, with proven uniqueness and stability.

Findings

Unique reconstruction of current density achieved

Lipschitz stability established

Numerical simulations validate the analytical results

Abstract

We propose a method to reconstruct the electrical current density from acoustically-modulated boundary measurements of time-harmonic electromagnetic fields. We show that the current can be uniquely reconstructed with Lipschitz stability. We also report numerical simulations to illustrate the analytical results.