A direct approach to imaging in a waveguide with perturbed geometry

Liliana Borcea, Fioralba Cakoni, Shixu Meng

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)556-577
Number of pages22
JournalJournal of Computational Physics
Volume392
DOIs
StatePublished - Sep 1 2019

Fingerprint

Waveguide
Waveguides
Imaging
waveguides
Imaging techniques
Geometry
geometry
acoustics
Terminate
Theoretical Analysis
echoes
Acoustics
Harmonic
sampling
Acoustic waves
Sampling
harmonics
Unknown
Numerical Simulation
Sensor

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Inverse scattering
  • Linear sampling method
  • Waveguide

Cite this

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A direct approach to imaging in a waveguide with perturbed geometry. / Borcea, Liliana; Cakoni, Fioralba; Meng, Shixu.

In: Journal of Computational Physics, Vol. 392, 01.09.2019, p. 556-577.

Research output: Contribution to journalArticle

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