Sampling methods for the inverse cavity scattering problem of biharmonic waves

作者：Isaac Harris, Peijun Li, General Ozochiawaeze · 发表于：Inverse Problems · 年份：2025 · DOI：10.1088/1361-6420/ae2ef8 · 被引用次数：2 · 研究领域：Numerical methods in inverse problems、Ultrasonics and Acoustic Wave Propagation、Microwave Imaging and Scattering Analysis

Abstract This paper addresses the inverse problem of qualitatively recovering a clamped cavity in a thin elastic plate using far-field measurements. We present a strengthened analysis of the linear sampling method (LSM) by carefully examining the range of the far-field operator and employing the reciprocity relation of the biharmonic far-field pattern. In addition, we implement both the LSM for reconstructing the cavity and the extended sampling method for localizing the cavity under limited-aperture data. Numerical experiments demonstrate the effectiveness and robustness of both methods.