A Global Uniqueness for Formally Determined Inverse Electromagnetic Obstacle Scattering

TL;DR

This paper proves that a polyhedral perfect conductor obstacle in three-dimensional space can be uniquely identified from the far-field pattern generated by a single incident wave, advancing inverse scattering theory.

Contribution

It establishes the first uniqueness result for the formally determined inverse electromagnetic obstacle scattering problem with a single incident wave.

Findings

Uniqueness of obstacle determination from a single far-field pattern.

Extension to general polyhedral perfect conductors.

Improvement over previous partial results.

Abstract

It is proved that a general polyhedral perfect conducting obstacle in $\mathbb{R}^3$, possibly consisting of finitely many solid polyhedra, is uniquely determined by the far-field pattern corresponding to a single incident wave. This improves earlier results in the literature to the formally determined case.