Inverse Obstacle Scattering with a Single Moving Emitter
Abstract
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.
Fields of Study & Subjects
Numerical methods in inverse problems
Microwave Imaging and Scattering Analysis
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- East Asian Journal on Applied Mathematics
- Volume
- 16
- Issue
- 4
- Pages
- 865–887
- Publication date
- 2 March 2026
- Language
- EN