UNIQUE DETERMINATIONS IN INVERSE SCATTERING PROBLEMS WITH PHASELESS NEAR-FIELD MEASUREMENTS
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 569-582 |
| Journal / Publication | Inverse Problems and Imaging |
| Volume | 14 |
| Issue number | 3 |
| Online published | Mar 2020 |
| Publication status | Published - Jun 2020 |
Link(s)
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
Citation Format(s)
UNIQUE DETERMINATIONS IN INVERSE SCATTERING PROBLEMS WITH PHASELESS NEAR-FIELD MEASUREMENTS. / ZHANG, Deyue; GUO, Yukun; SUN, Fenglin et al.
In: Inverse Problems and Imaging, Vol. 14, No. 3, 06.2020, p. 569-582.
In: Inverse Problems and Imaging, Vol. 14, No. 3, 06.2020, p. 569-582.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
