Inverse Problems in Wave Propagation

✍ Scribed by Richard A. Albanese (auth.), Guy Chavent, Paul Sacks, George Papanicolaou, William W. Symes (eds.)

Publisher: Springer-Verlag New York
Year: 1997
Tongue: English
Leaves: 501
Series: The IMA Volumes in Mathematics and its Applications 90
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves. Tasks of this nature arise in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic nondestructive testing, biomedical ultrasonics, radar, astrophysics, and other areas of science and technology. The papers in this volume represent most of these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.

✦ Table of Contents

Front Matter....Pages i-xi
Wave Propagation Inverse Problems in Medicine and Environmental Health....Pages 1-11
Variational Structure of Inverse Problems in Wave Propagation and Vibration....Pages 13-44
Convergence of Numerical Methods for Inverse Problems with General Input Sources....Pages 45-83
Topics in Ocean Acoustic Inverse Problems....Pages 85-104
A Survey of Selected Topics in Inverse Electromagnetic Scattering Theory....Pages 105-127
Generalized Modes in an Acoustic Strip....Pages 129-145
Inverse Scattering Problems For Schrödinger Operators with Magnetic and Electric Potentials....Pages 147-166
Results, Old and New, in Computed Tomography....Pages 167-193
Detecting Subsurface Hydrocarbons with Elastic Wavefields....Pages 195-218
How Many Parameters Can One Solve for in Diffuse Tomography?....Pages 219-235
Modeling Scanned Acoustic Imaging of Defects at Solid Interfaces....Pages 237-257
On Reconstruction of the Diffusion and of the Principal Coefficient of a Hyperbolic Equation....Pages 259-275
The r-Solution and Its Applications in Linearized Waveform Inversion for a Layered Background....Pages 277-294
Directional Moments in the Acoustic Inverse Problem....Pages 295-323
Finding the Density of a Membrane from Nodal Lines....Pages 325-345
An Inverse Obstacle Problem: a Uniqueness Theorem for Balls....Pages 347-355
Inverse Scattering in Acoustic Media Using Interior Transmission Eigenvalues....Pages 357-374
A Layer Stripping Algorithm in Elastic Impedance Tomography....Pages 375-384
Partitioned Nonlinear Optimization for the Interpretation of Seismograms....Pages 385-393
Applications of Inverse Methods to the Analysis of Refraction and Wide-Angle Seismic Data....Pages 395-417
Inversions in Astronomy and the Sola Method....Pages 419-442
Local Reconstruction Applied to X-Ray Microtomography....Pages 443-452
On the Layer Stripping Approach to a 1-D Inverse Problem....Pages 453-462
Estimates for Approximate Solutions to Acoustic Inverse Scattering Problems....Pages 463-499
Back Matter....Pages 501-506

✦ Subjects

Analysis;Computational Mathematics and Numerical Analysis;Physiological, Cellular and Medical Topics;Health Informatics;Acoustics;Mathematical Methods in Physics

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