Nonlinear optical waves
type: Item
instance of: scholarly article
title: Nonlinear optical waves
zbMATH Open document ID: 0960.78001
author: R. Smith
published in: Fundamental Theories of Physics
publication date: 2000-12-05T00:00:00Z
review text: It is impossible to review a solid work of over 600 pages in detail and accordingly a list of chapter titles will be given and attention will be drawn to some of the most interesting matters in them. According to the preface, the authors who come from the Moscow State Engineering Physics Institute state that they will dwell on basic theory, analytical methods and non-dissipative phenomena for waves in one dimension. The book is divided into nine chapters, each chapter having an introduction to its contents and closing with a summary. The first chapter is entitled Basic Equations and provides a general introduction to the subject, paying particular attention to the Maxwell-Bloch equations. The second chapter, on coherent transient phenomena, pays particular attention to photon echoes and discusses also super flourescence and optical nutation. The third chapter deals with the inverse scattering transform method. Amongst the topics discussed therein are reflectionless potentials and scattering data. The fourth chapter is concerned with the ideas associated with self induced transparency, and involves topics such as Bäcklund transformations, polaritons and two-photon resonances. The subject matter of the fifth chapter is coherent pulse propagation. In this particular attention is paid to Kerr-type media and to the propagation of ultra-short pulses. The sixth chapter on optical solutions in fibres is a long one. In this nonlinear Schrödinger equations receive particular attention, picosecond and femtosecond solitons are considered and the concept of a vector soliton is introduced. Parametric interaction of optical waves is the subject of the seventh chapter. In this three-wave and four wave interaction is considered. Nonlinear waveguide structures is the subject of the eighth chapter. Surface waves and their dispersion relations are considered and there is a discussion of the Thirring thin films of resonant atoms in which one and two photon resonance are considered. Ther…
Mathematics Subject Classification ID: 78-02
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A10
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 81V80
zbMATH DE Number: 1540709
zbMATH Keywords: nonlinear waveguide
zbMATH Keywords: Maxwell-Bloch equations
zbMATH Keywords: coherent transient phenomena
zbMATH Keywords: photon echoes
zbMATH Keywords: super flourescence
zbMATH Keywords: optical nutation
zbMATH Keywords: inverse scattering transform method
zbMATH Keywords: self induced transparency
zbMATH Keywords: Bäcklund transformations
zbMATH Keywords: polaritons
zbMATH Keywords: two-photon resonances
zbMATH Keywords: coherent pulse propagation
zbMATH Keywords: Kerr-type media
zbMATH Keywords: ultra-short pulses
zbMATH Keywords: optical solutions in fibres
zbMATH Keywords: nonlinear Schrödinger equations
zbMATH Keywords: solitons
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1540709