<p>The purpose of this text is to present the theory and mathematics of inverse scattering, in a simple way, to the many researchers and professionals who use it in their everyday research. While applications range across a broad spectrum of disciplines, examples in this text will focus primarly, but not exclusively, on acoustics. The text will be especially valuable for those applied workers who would like to delve more deeply into the fundamentally mathematical character of the subject matter.<br><br>Practitioners in this field comprise applied physicists, engineers, and technologists, whereas the theory is almost entirely in the domain of abstract mathematics. This gulf between the two, if bridged, can only lead to improvement in the level of scholarship in this highly important discipline. This is the book's primary focus.</p>

Inverse Problems and Inverse Scattering of Plane Waves

Computers & Technology

Roy, D. N.

Couchman, L. S.

Computer Science

Academic Press

Applied Fluid Mechanics (Ellis Horwood Series in Mechanical Engineering)

Science & Math

Technology

Ellis Horwood, Ltd.

Applied fluid mechanics (Ellis Horwood series in mechanical engineering)

Physics

Halsted Press

This book has been written primarily for students who have a fairly substantial mathematical background. It focuses on teaching students in bioengineering and environmental engineering who have not had such exposure to mathematical concepts.The book: -- Includes practical algorithms on CD-ROM for forward simulation and inversion of wave propagation in 2D.-- Discusses in clear terms the mathematical preliminaries that are required for a proper understanding of the inversion/imaging problem, as they are required.-- Includes careful discussion of the case of acoustic wave propagation in biological tissue (human breast for example). After this introduction, the more difficult cases of electromagnetic waves in non-magnetic media are considered. These require discussion of the vector wave equation, and the numerical methods used in their solution. The methods chosen are the finite difference time domain method, the integral equation method, and the associated hybrid method, which combines the particular advantages of the first two methods.-- Discusses the important case of the diffusion approximation to the EM wave equations, and its many applications. Such applications include: (1) location of buried mines in surf zones, (2) location and delineation of hazardous waste leakage in waste disposal sites (dense nonaqueous phase liquids -- DNAPL's) and (3) u-impedance imaging of cells.

Inverse Scattering for Wave and Diffusion Equations

Reference

Johnson, S. A.

Borup, D. T.

Wiskin, J. W.

Catalogs & Directories

World Scientific Pub Co Inc

Inverse Scattering for Wave Diffusion Equations

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