A direct approach to imaging in a waveguide with perturbed geometry
Analysis of PDEs
2019-06-26 v1 Numerical Analysis
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.
Cite
@article{arxiv.1810.04705,
title = {A direct approach to imaging in a waveguide with perturbed geometry},
author = {Liliana Borcea and Fioralba Cakoni and Shixu Meng},
journal= {arXiv preprint arXiv:1810.04705},
year = {2019}
}