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Nonlinear Optical Waves : FUNDAMENTAL THEORIES OF PHYSICS - A. I. Maimistov

Nonlinear Optical Waves



Published: 30th June 1999
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A non-linear wave is one of the fundamental objects of nature. They are inherent to aerodynamics and hydrodynamics, solid state physics and plasma physics, optics and field theory, chemistry reaction kinetics and population dynamics, nuclear physics and gravity. All non-linear waves can be divided into two parts: dispersive waves and dissipative ones. The history of investigation of these waves has been lasting about two centuries. In 1834 J. S. Russell discovered the extraordinary type of waves without the dispersive broadening. In 1965 N. J. Zabusky and M. D. Kruskal found that the Korteweg-de Vries equation has solutions of the solitary wave form. This solitary wave demonstrates the particle-like properties, i. e. , stability under propagation and the elastic interaction under collision of the solitary waves. These waves were named solitons. In succeeding years there has been a great deal of progress in understanding of soliton nature. Now solitons have become the primary components in many important problems of nonlinear wave dynamics. It should be noted that non-linear optics is the field, where all soliton features are exhibited to a great extent. This book had been designed as the tutorial to the theory of non-linear waves in optics. The first version was projected as the book covering all the problems in this field, both analytical and numerical methods, and results as well. However, it became evident in the process of work that this was not a real task.

`On the whole, the book is an excellent reference and a useful tool for undergraduate and postgraduate students, young researchers as well as senior faculty members in colleges and universities in this exciting area. I strongly recommend this book for libraries.' Mathematical Reviews

Basic equations
Coherent transient phenomena
Inverse Scattering Transform method
Self-Induced Transparency
Coherent Pulse Propagation
Optical solitons in fibres
Parametric interaction of optical waves
Non-linear waveguide structures
Thin film of resonant atoms: a simple model of non-linear optics
The density matrix equation of a system in broadband thermostat
The density matrix equation for a gas medium
Adiabatic following approximation
Relation between exactly integrable models in resonance optics
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792357520
ISBN-10: 0792357523
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 656
Published: 30th June 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 22.99 x 16.51  x 4.45
Weight (kg): 1.2