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 |
|
||||
Affiliations |
|
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
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 |