Imaging with electromagnetic waves in terminating waveguides

TL;DR

This paper develops methods for imaging reflectors inside terminating waveguides using electromagnetic waves, employing inverse scattering techniques, Green tensor calculations, reverse time migration, and $ ext{l}_1$ optimization.

Contribution

It introduces a mathematical framework for electromagnetic inverse scattering in waveguides, combining integral equations, Green tensor analysis, and advanced imaging algorithms.

Findings

Effective imaging of reflectors in waveguides demonstrated

Reverse time migration and $ ext{l}_1$ optimization improve image resolution

Mathematical formulation enables accurate inverse scattering analysis

Abstract

We study an inverse scattering problem for Maxwell's equations in terminating waveguides, where localized reflectors are to be imaged using a remote array of sensors. The array probes the waveguide with waves and measures the scattered returns. The mathematical formulation of the inverse scattering problem is based on the electromagnetic Lippmann-Schwinger integral equation and an explicit calculation of the Green tensor. The image formation is carried with reverse time migration and with $\ell_1$ optimization.