Inverse Problems of Wave Propagation and Diffraction: Proceedings of the Conference Held at AIX-Les-Bains, France, September 23-27, 1996

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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...

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Overview

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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Product Details

  • ISBN-13: 9783540628651
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 7/28/1997
  • Series: Lecture Notes in Physics
  • Pages: 379

Table of Contents

Resolution and Super-Resolution in Inverse Diffraction 1
Mathematical Programming for Positive Solutions of Ill-Conditioned Inverse Problems 18
Inverse Scattering for N-Body Systems with Time-Dependent Potentials 27
Inverse Scattering Approach for Stratified Chiral Media 47
Recovery of Strongly Scattering Permittivity Distributions from Limited Backscattered Data Using a Nonlinear Filtering Technique 58
Retrieval of Object Information from Electron Diffraction as Ill-Posed Inverse Problems 71
A Linear Method for Solving Inverse Scattering Problems in the Resonance Region 86
Numerical Methods in Inverse Obstacle Scattering 93
An Overview of Nonlinear Diffraction Tomography Within a Bayesian Estimation Framework 107
Application of the Approximate Inverse to Inverse Scattering 125
Reconstruction of an Impenetrable Obstacle Immersed in a Shallow Water Acoustic Waveguide 130
Location and Reconstruction Objects Using a Modified Gradient Approach 143
Generalisations of Karp's Theorem to Elastic Scattering Theory 159
Inverse Obstacle Scattering Problem Based on Resonant Frequencies 169
New Developments in the Applications of Inverse Scattering to Target Recognition and Remote Sensing 186
Inverse 3D Acoustic and Electromagnetic Obstacle Scattering by Iterative Adaptation 204
An Algorithm for 3D Ultrasound Tomography 216
Regularity of an Inverse Problem in Wave Propagation 226
Developments in Numerical Methods for Transient Scattering Problems 236
A Level-Set Approach for Eddy Current Imaging of Defects in a Conductive Half-Space 250
An Inverse Problem for the Two-Dimensional Wave Equation in a Stratified Medium 263
On the Inverse Seismic Problem for Horizontally Layered Elastic Media: Subsidiary Study 275
Scattering of Guided Waves in Laterally Varying Layered Media 294
Born Inversion in Realistic Backgrounds by Means of Recursive Green's Functions 306
Nonlinear Inversion of Seismic Reflection Data by Simulated Annealing 323
Asymptotic Theory for Imaging the Attenuation Factors Q[subscript P] and Q[subscript S] 334
An Inverse Time Domain Problem for a Stratified, Biperiodic and 2D Medium Using an Optimization Method 354
Shape Reconstruction of a Penetrable Homogeneous 3D Scattering Body Via the ICBA 367
Program of the Conference 373
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