Inverse Problems Of Wave Propagation And Diffraction: Proceedings Of The Conference Held In Aix-les-bains, France, September 23-27, 1996 (lecture Notes In Physics)

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. 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 This is a description of the state of the art in the field of modelling and solving numerically inverse problems of wave propagation and diffraction. Among the topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.