Short-Wavelength Diffraction Theory: Asymptotic Methods: Vol 4 (Springer Series on Wave Phenomena) - Hardcover

Babic, Vasili M.; Buldyrev, Vladimir S.

Hardcover

ISBN 10: 3540191895 ISBN 13: 9783540191896

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991

Synopsis

In the study of short-wave diffraction problems, asymptotic methods - the ray method, the parabolic equation method, and its further development as the "etalon" (model) problem method - play an important role. These are the meth- ods to be treated in this book. The applications of asymptotic methods in the theory of wave phenomena are still far from being exhausted, and we hope that the techniques set forth here will help in solving a number of problems of interest in acoustics, geophysics, the physics of electromagnetic waves, and perhaps in quantum mechanics. In addition, the book may be of use to the mathematician interested in contemporary problems of mathematical physics. Each chapter has been annotated. These notes give a brief history of the problem and cite references dealing with the content of that particular chapter. The main text mentions only those pUblications that explain a given argument or a specific calculation. In an effort to save work for the reader who is interested in only some of the problems considered in this book, we have included a flow chart indicating the interdependence of chapters and sections.

About this title

Synopsis

This study presents modern approaches to solving diffraction problems, for example the ray, parabolic equation and comparison methods. A mathematical formulation of diffraction problems is given and the theoretical background and technical aspects of the various solution methods are discussed. A further feature is a detailed analysis of the final formula describing the asymptotic behaviour of the wave field. Systems treated in detail include wave fields concentrated in the vicinity of a boundary, and isolated waves such as "whispering gallery waves" and "jumping ball waves", as well as the point source wave field near a concave or convex boundary, which is important for applications.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1991
• Language: English
• ISBN 10: 3540191895
• ISBN 13: 9783540191896
• Binding: Hardcover
• Number of pages: 456