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MUSIC algorithm for locating point-like scatterers with multiple interactions

2025/09/17 by Meng, Nana
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.13738

Abstract

We study the inverse problem of locating point sources from far-field data under plane wave incidence. A direct computational method is developed based on multiple scattering theory, using a novel indicator function to avoid iterative solving. The approach is efficient, noise-stable, and capable of resolving closely spaced or multiple sources. Numerical results validate its accuracy and robustness in various configurations. This work provides a practical computational tool for wave-based imaging and non-destructive evaluation.

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