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Inverse obstacle scattering with a single moving emitter

Published: October 10, 2025 | arXiv ID: 2510.09385v1

By: Yu Sun , Bo Chen , Peng Gao and more

Potential Business Impact:

Find hidden objects using a moving sound source.

Business Areas:
Laser Hardware, Science and Engineering

This paper is concerned with time domain forward scattering and inverse scattering problems with a single moving point source as the emitter. Approximate solutions are provided for the forward scattering problem with a moving emitter. Regarding the inverse problem, in addition to a basic indicator function based on the approximate solutions, a novel indicator function is developed to construct the direct sampling method to recover both point-like and extended scatterers. Numerical experiments demonstrate that the proposed algorithms are effective in reconstructing both two-dimensional and three-dimensional scatterers with a single moving emitter.

Country of Origin
🇨🇳 China

Page Count
18 pages

Category
Mathematics:
Numerical Analysis (Math)