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.

arXiv comment10 pages, 1 figure. arXiv admin note: text overlap with arXiv:1812.03291 and substantial text overlap with arXiv:1905.08242

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• Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency
• Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency