Uniqueness in inverse cavity scattering problems with phaseless near-field data
Abstract
This paper is concerned with the uniqueness of inverse acoustic scattering problem for cavities with the modulus of the near-fields. With the aid of the reference ball technique and the superpositions of two point sources as the incident waves, we rigorously prove that the location and shape of the cavity as well as its boundary condition can be uniquely determined by the modulus of near-fields at an admissible surface. To our knowledge, this is the first uniqueness result in inverse cavity scattering problems with phaseless near-field data. In this paper, we make use of the phaseless near-field data incurred by the cavity and the point sources, and thus the configuration is more feasible in practice.
Cite
@article{arxiv.1905.09819,
title = {Uniqueness in inverse cavity scattering problems with phaseless near-field data},
author = {Deyue Zhang and Yinglin Wang and Yukun Guo and Jingzhi Li},
journal= {arXiv preprint arXiv:1905.09819},
year = {2020}
}
Comments
10 pages, 1 figure. arXiv admin note: text overlap with arXiv:1812.03291 and substantial text overlap with arXiv:1905.08242