UNIQUE DETERMINATIONS IN INVERSE SCATTERING PROBLEMS WITH PHASELESS NEAR-FIELD MEASUREMENTS

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)569-582
Journal / PublicationInverse Problems and Imaging
Volume14
Issue number3
Publication statusPublished - Jun 2020

Abstract

In this paper, we establish the unique determination results for several inverse acoustic scattering problems using the modulus of the 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.

Research Area(s)

  • Uniqueness, phaseless, inverse scattering, near field, point source, acoustic wave