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Abstract <p>This paper investigates the inverse source problem for the time-harmonic elastic wave equation using far-field measurements. We propose a set of novel indicator functions designed to simultaneously identify the source locations and recover the corresponding polarizations from the observed data. Theoretical analysis is performed to establish the validity of the proposed approach. In addition, several numerical experiments are presented to demonstrate the effectiveness and robustness of the method, including its performance under noisy conditions.</p>

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A Direct Sampling Method to Reconstruct the Source of Elastic Waves from Far-Field Pattern

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • Yan Chang,
  • Yukun Guo,
  • M. V. Klibanov,
  • Jingzhi Li

摘要

Abstract

This paper investigates the inverse source problem for the time-harmonic elastic wave equation using far-field measurements. We propose a set of novel indicator functions designed to simultaneously identify the source locations and recover the corresponding polarizations from the observed data. Theoretical analysis is performed to establish the validity of the proposed approach. In addition, several numerical experiments are presented to demonstrate the effectiveness and robustness of the method, including its performance under noisy conditions.