Inverse obstacle problems with backscattering or generalized backscattering data in one or two directions

Christiansen, T. J.

doi:10.3233/asy-2012-1130

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2016

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“…The authors show uniqueness for spherically symmetrical potentials. Christiansen [4] studied the backscattering obstacle problem when the scattering amplitude was known in a neighbourhood of the reflected ray. The author obtained a uniqueness result in the class of strictly convex obstacles.…”

Section: Introductionmentioning

confidence: 99%

Recovery of interior eigenvalues from reduced near field data

Lakshtanov

Vainberg

2016

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We consider inverse obstacle and transmission scattering problems where the source of the incident waves is located on a smooth closed surface that is a boundary of a domain located outside of the obstacle/inhomogeneity of the media. The domain can be arbitrarily small but fixed.The scattered waves are measured on the same surface. An effective procedure is suggested for recovery of interior eigenvalues by these data.

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Section: Introductionmentioning

confidence: 99%