A direct approach to imaging in a waveguide with perturbed geometry

TL;DR

This paper presents a linear sampling method for imaging unknown wall deformations and scatterers in an acoustic waveguide with sound hard walls, using remote sensors and theoretical analysis.

Contribution

It introduces a novel direct linear sampling approach tailored for waveguide imaging with perturbed geometry, supported by theoretical insights and numerical validation.

Findings

Effective imaging of wall deformations demonstrated

The method accurately identifies localized scatterers

Theoretical analysis confirms the approach's validity

Abstract

We introduce a direct, linear sampling approach to imaging in an acoustic waveguide with sound hard walls. The waveguide terminates at one end and has unknown geometry due to compactly supported wall deformations. The goal of imaging is to determine these deformations and to identify localized scatterers in the waveguide, using a remote array of sensors that emits time harmonic probing waves and records the echoes. We present a theoretical analysis of the imaging approach and illustrate its performance with numerical simulations.