Phaseless inverse problems with interference waves

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.

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