On the Denseness of the Set of Scattering Amplitudes
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Abstract
It is proved that the set of scattering amplitudes {A(β,α,k)} with αєS2, known for all βєS2, where S2 is the unit sphere in R3, k>0 is fixed, k2 is not a Dirichlet eigenvalue of the Laplacian in D, is dense in L2(S2). Here A(β,α,k) is the scattering amplitude corresponding to an obstacle D, where D is a bounded domain with a boundary S. The boundary condition on S is the Dirichlet condition.
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Open access Journal: http://www.sciencepubco.com/index.php/GJMA/article/view/7474
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Open access Journal: https://www.sciencepubco.com
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