English

MUSIC algorithm for locating point-like scatterers with multiple interactions

Analysis of PDEs 2025-09-18 v1

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.

Keywords

Cite

@article{arxiv.2509.13738,
  title  = {MUSIC algorithm for locating point-like scatterers with multiple interactions},
  author = {Nana Meng},
  journal= {arXiv preprint arXiv:2509.13738},
  year   = {2025}
}
R2 v1 2026-07-01T05:41:17.879Z