Time- vs. frequency- domain inverse elastic scattering: Theory and experiment
Abstract
This study formally adapts the time-domain linear sampling method (TLSM) for ultrasonic imaging of stationary and evolving fractures in safety-critical components. The TLSM indicator is then applied to the laboratory test data of [22, 18] and the obtained reconstructions are compared to their frequency-domain counterparts. The results highlight the unique capability of the time-domain imaging functional for high-fidelity tracking of evolving damage, and its relative robustness to sparse and reduced aperture data at moderate noise levels. A comparative analysis of the TLSM images against the multifrequency LSM maps of [22] further reveals that thanks to the full-waveform inversion in time and space, the TLSM generates images of remarkably higher quality with the same dataset.
Cite
@article{arxiv.2209.07006,
title = {Time- vs. frequency- domain inverse elastic scattering: Theory and experiment},
author = {Xiaoli Liu and Jian Song and Fatemeh Pourahmadian and Houssem Haddar},
journal= {arXiv preprint arXiv:2209.07006},
year = {2022}
}