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A phaseless inverse scattering problem for the 3-D Helmholtz equation. (English) Zbl 1359.35227

Summary: An inverse scattering problem for the 3-D Helmholtz equation is considered. Only the modulus of the complex valued scattered wave field is assumed to be measured and the phase is not measured. This problem naturally arises in the lensless quality control of fabricated nanostructures. Uniqueness theorem is proved.

MSC:

35R30 Inverse problems for PDEs

References:

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