A direct approach to imaging in a waveguide with perturbed geometry
This work provides a theoretical and numerical framework for non-destructive imaging in waveguides with perturbed geometry, relevant to applications in acoustics and structural health monitoring.
The paper introduces a direct, linear sampling method for imaging wall deformations and localized scatterers in an acoustic waveguide with unknown geometry, using a remote sensor array. Numerical simulations demonstrate the approach's effectiveness.
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.