Inverse Problems of Wave Propagation and Diffraction: Proceedings of the Conference Held in Aix-les-Bains, France, September 23–27, 1996

M. Bertero, P. Boccacci, M. Piana (auth.), Guy Chavent, Pierre C. Sabatier (eds.)3540628657, 9783540628651

This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. It addresses mathematicians, physicists and engineers as well. Applications in such fields as acoustics, optics, and geophysics are emphasized. Of special interest are the contributions to two and three dimensional problems without reducing symmetries. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.

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Table of contents :
Resolution and super-resolution in inverse diffraction….Pages 1-17
Mathematical programming for positive solutions of ill-conditioned inverse problems….Pages 18-26
Inverse scattering for N-body systems with time-dependent potentials….Pages 27-46
Inverse scattering approach for stratified chiral media….Pages 47-57
Recovery of strongly scattering permittivity distributions from limited backscattered data using a nonlinear filtering technique….Pages 58-70
Retrieval of object information from electron diffraction as Ill-posed inverse problems….Pages 71-85
A linear method for solving inverse scattering problems in the resonance region….Pages 86-92
Numerical methods in inverse obstacle scattering….Pages 93-106
An overview of nonlinear diffraction tomography within the bayesian estimation framework….Pages 107-124
Application of the approximate inverse to inverse scattering….Pages 125-129
Reconstruction of an impenetrable obstacle immersed in a shallow water acoustic waveguide….Pages 130-142
Location and reconstruction of objects using a modified gradient approach….Pages 143-158
Generalizations of Karp’s theorem to elastic scattering theory….Pages 159-168
Inverse obstacle scattering problem based on resonant frequencies….Pages 169-185
New developments in the application of inverse scattering to target recognition and remote sensing….Pages 186-203
Inverse 3D acoustic and electromagnetic obstacle scattering by iterative adaptation….Pages 204-215
An algorithm for 3D ultrasound tomography….Pages 216-225
Regularity of an inverse problem in wave propagation….Pages 226-235
Developments in numerical methods for transient scattering problems….Pages 236-249
A level-set approach for eddy current imaging of defects in a conductive half-space….Pages 250-262
An inverse problem for the two-dimensional wave equation in a stratified medium….Pages 263-274
On the inverse seismic problem for horizontally layered media: Subsidiary study….Pages 275-293
Scattering of guided waves in laterally varying layered media….Pages 294-305
Born inversion in realistic backgrounds by means of recursive Green’s functions….Pages 306-322
Nonlinear inversion of seismic reflection data by simulated annealing….Pages 323-333
Asymptotic theory for imaging the attenuation factors Q P and Q S ….Pages 334-353
An inverse time domain problem for a stratified, biperiodic and 2D medium using an optimization method….Pages 354-366
Shape reconstruction of a penetrable homogeneous 3D scattering body via the ICBA….Pages 367-372
Program of the Conference of Aix-les-Bains (23–27 sept.1996)….Pages 373-379