Uniqueness of a 3-D coefficient inverse scattering problem without the phase information Full article
| Journal |
Inverse Problems
ISSN: 0266-5611 |
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| Output data | Year: 2017, Pages: 095007 Pages count : 1 DOI: 10.1088/1361-6420/aa7a18 | ||||
| Tags | phaseless data, inverse scattering problem, uniqueness theorem | ||||
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Abstract:
We use a new method to prove the uniqueness theorem for a coefficient inverse
scattering problem without the phase information for the 3-D Helmholtz
equation. We consider the case when only the modulus of the scattered wave
field is measured and the phase is not measured. The spatially distributed
refractive index is the subject of interest in this problem. Applications of this
problem are in imaging of nanostructures and biological cells.
Cite:
Klibanov M.V.
, Romanov V.G.
Uniqueness of a 3-D coefficient inverse scattering problem without the phase information
Inverse Problems. 2017. P.095007. DOI: 10.1088/1361-6420/aa7a18 WOS Scopus OpenAlex
Uniqueness of a 3-D coefficient inverse scattering problem without the phase information
Inverse Problems. 2017. P.095007. DOI: 10.1088/1361-6420/aa7a18 WOS Scopus OpenAlex
Dates:
| Submitted: | Mar 2, 2017 |
| Accepted: | Jun 8, 2017 |
| Published online: | Aug 18, 2017 |
Identifiers:
| Web of science: | WOS:000407979500003 |
| Scopus: | 2-s2.0-85028422502 |
| OpenAlex: | W2594185299 |