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Phaseless inverse problems with interference waves Full article

Journal Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 , E-ISSN: 1569-3945
Output data Year: 2018, Volume: 26, Number: 5, Pages: 681-688 Pages count : 8 DOI: 10.1515/jiip-2018-0037
Tags Inverse problem, phaseless information, elliptic equation, uniqueness, tomography problem, inverse kinematic problem
Authors Romanov V.G. 1 , Yamamoto Masahiro 2
Affiliations
1 Sobolev Institute of Mathematics SB RAS
2 The University of Tokyo

Abstract: Two phaseless inverse problems for elliptic equations are considered.We assume that information related to modulus of full fields, which consist of sums of incident and scattering fields, is given. These full fields are the interference fields generated by point sources. We introduce a set of auxiliary point sources for solving the inverse problems and demonstrate that the corresponding data allow us to solve the inverse problems in a way similar to the case of measurements of scattering waves.
Cite: Romanov V.G. , Yamamoto M.
Phaseless inverse problems with interference waves
Journal of Inverse and Ill-Posed Problems. 2018. V.26. N5. P.681-688. DOI: 10.1515/jiip-2018-0037 WOS Scopus OpenAlex
Dates:
Submitted: Apr 25, 2018
Accepted: May 17, 2018
Identifiers:
Web of science: WOS:000445860000010
Scopus: 2-s2.0-85048424413
OpenAlex: W2962789394
Citing:
DB Citing
Scopus 19
OpenAlex 18
Web of science 15
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