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Titlebook: Inverse Problems of Wave Propagation and Diffraction; Proceedings of the C Guy Chavent,Pierre C. Sabatier Conference proceedings 1997 Sprin

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Mathematical programming for positive solutions of ill-conditioned inverse problems,ishing, with applications in many areas of interest. Problems of this type are characterised by a forward relation that includes some loss of information. It is the loss of information that makes calculating the backward relation so difficult. Work is presented here which attempts to add in some of
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Inverse scattering for N-body systems with time-dependent potentials,ent pair potentials determines uniquely the potentials. I also show that in the particular case when the potentials go to zero fast enough as time goes to plus and minus infinity it is not necessary to introduce a modified Dollard time evolution and that pair potentials that decrease slowly as the i
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An overview of nonlinear diffraction tomography within the bayesian estimation framework,r apparent diversity (Demoment 1989). The goal of this paper is to investigate diffraction tomography within the Bayesian estimation framework. A regularized solution to this ill-posed nonlinear inverse problem is defined as the maximum a posteriori estimate, introducing prior information on the obj
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Reconstruction of an impenetrable obstacle immersed in a shallow water acoustic waveguide,cle is located in the farfield of a single time-harmonic line source operating at one given frequency. Scattered pressure fields are observed on two arrays of hydrophones, one on each side of the obstacle. Using a complete family approach, the scattered field is represented as a finite sum of Green’
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Location and reconstruction of objects using a modified gradient approach, objects from a knowledge of the field scattered by the object(s) when illuminated or ensonified by a known time harmonic incident field. The fields may be electromagnetic or acoustic and while the field equations are different in each case, the inverse problem may be cast in a general framework whi
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Inverse obstacle scattering problem based on resonant frequencies, frequencies do not uniquely determine the obstacle. We propose to consider also the eigenfunctions associated with the resonant frequencies. We first show the uniqueness of our inverse problem: the resonant frequencies . the associated eigenfunctions uniquely determine the obstacle. Then the stabil
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