Three-dimensional inverse scattering

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1986Publisher:Springer Berlin Heidelberg

Authors: Margaret Cheney; James H. Rose; Brian DeFacio;

doi: 10.1007/bfb0080580 , 10.1007/978-3-0348-7014-6_4

Three-dimensional inverse scattering

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Abstract

We consider the problem of obtaining information about an inaccessible region of space from scattering experiments. Inverse scattering theory for the time-independent Schrodinger equation [Δ + h2−V(x)]φ(k,x) = 0 is summarized. It is most easily understood by considering the associated hyperbolic equation [Δ −aaa − V(x)]u(t,x) = 0. Particular attention is paid to those aspects of the theory that hold for the wave equation [Δ − n2 (x)att]u(t,x) = 0.

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