Uniqueness in inverse acoustic scattering with phaseless near-field measurements
Abstract
This paper is devoted to the uniqueness of inverse acoustic scattering problems with the modulus of near-field data. By utilizing the superpositions of point sources as the incident waves, we rigorously prove that the phaseless near-fields collected on an admissible surface can uniquely determine the location and shape of the obstacle as well as its boundary condition and the refractive index of a medium inclusion, respectively. We also establish the uniqueness in determining a locally rough surface from the phaseless near-field data due to superpositions of point sources. These are novel uniqueness results in inverse scattering with phaseless near-field data.
Keywords
Cite
@article{arxiv.1905.08242,
title = {Uniqueness in inverse acoustic scattering with phaseless near-field measurements},
author = {Deyue Zhang and Fenglin Sun and Yukun Guo and Hongyu Liu},
journal= {arXiv preprint arXiv:1905.08242},
year = {2019}
}
Comments
17 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1812.03291