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.
Funding source: Russian Foundation for Basic Research
Award Identifier / Grant number: 17-01-00120
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 15H05740
Funding statement: The work of V. G. Romanov was partially supported by the Russian Foundation for Basic Research grant number 17-01-00120. The work of M. Yamamoto was supported partly by Grant-in-Aid for Scientific Research (S) 15H05740 of Japan Society for the Promotion of Science.
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