Nonlinear Waves in Waveguides: with Stratification

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Springer Science & Business Media, Nov 11, 2013 - Science - 163 pages
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S.B. Leble's book deals with nonlinear waves and their propagation in metallic and dielectric waveguides and media with stratification. The underlying nonlinear evolution equations (NEEs) are derived giving also their solutions for specific situations. The reader will find new elements to the traditional approach. Various dispersion and relaxation laws for different guides are considered as well as the explicit form of projection operators, NEEs, quasi-solitons and of Darboux transforms. Special points relate to: 1. the development of a universal asymptotic method of deriving NEEs for guide propagation; 2. applications to the cases of stratified liquids, gases, solids and plasmas with various nonlinearities and dispersion laws; 3. connections between the basic problem and soliton- like solutions of the corresponding NEEs; 4. discussion of details of simple solutions in higher- order nonsingular perturbation theory.
 

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Contents

Introduction
1
Interaction of Modes in an Electromagnetic Field Waveguide
50
Nonlinear Waves in Stratified Plasma
69
Evolution Equations for Internal Waves in Media
93
Mean Field Generation by Waves in a Dissipative Medium
114
Atmospheric Waves over a Rotating Planet 139
138
Basis Vectors Interaction Operator for Atomic Nuclei
145
Subject Index 161
160
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