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Time- vs. frequency- domain inverse elastic scattering: Theory and experiment

2022/09/15 by Xiaoli Liu, Liu, Xiaoli, Jian Song +5
Engineering · #FOS: Mathematics #Geophysical Methods and Applications #Non-Destructive Testing Techniques #Numerical Analysis (math.NA) #Ultrasonics and Acoustic Wave Propagation

paper · pdf · doi:10.48550/arxiv.2209.07006

openalex publication_date 2022/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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