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arXiv · 1905.08242

Uniqueness in inverse acoustic scattering with phaseless near-field measurements

Deyue Zhang·Fenglin Sun·Yukun Guo·Hongyu Liu
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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.

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Deyue Zhang, Fenglin Sun, Yukun Guo, Hongyu Liu. 2019-05-19. Uniqueness in inverse acoustic scattering with phaseless near-field measurements. https://arxiv.org/abs/1905.08242

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