Qualitative Methods in Inverse Scattering Theory

Qualitative Methods in Inverse Scattering Theory

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Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible qclass-testedq introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.Motivated by Theorem 6.2 we now define the interior transmission problem associated with the transmission problem ... + k2w = 0 in D (6.13) v-w = f on dD ( 6.14) a€” ^- - -^ = /2 on dD (6.15) The boundary value problem (6.12)-(6.13) with f = 0anbsp;...

Title:Qualitative Methods in Inverse Scattering Theory
Author: Fioralba Cakoni, David Colton
Publisher:Springer Science & Business Media - 2005-11-03

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