Global uniqueness at fixed energy in multidimensional inverse scattering theory

Published under licence by IOP Publishing Ltd
, , Citation R Weder 1991 Inverse Problems 7 927 DOI 10.1088/0266-5611/7/6/012

0266-5611/7/6/927

Abstract

The author proves that the scattering amplitude T(k, omega , omega ') known for a fixed k>0, and all omega , omega ' in Sn-1, determines uniquely a potential of compact support, or more generally a potential that is already known in the complement of a compact set, for all dimensions n, n>or=3.

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10.1088/0266-5611/7/6/012