Nonlinear Waves In Waveguides

Author : Sergei B. Leble
Publisher : Springer Science & Business Media
Page : 174 pages
File Size : 47,5 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783642754203

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Nonlinear Waves in Waveguides by Sergei B. Leble Pdf

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.

Author : Thokala Soloman Raju
Publisher : Springer Nature
Page : 85 pages
File Size : 42,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789819704415

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Controllable Nonlinear Waves in Graded-Index Waveguides (GRIN) by Thokala Soloman Raju Pdf

Author : Sergey Leble
Publisher : Unknown
Page : 288 pages
File Size : 40,5 Mb
Release : 2019
Category : Acoustics
ISBN : 3030226530

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Waveguide Propagation of Nonlinear Waves by Sergey Leble Pdf

This book addresses the peculiarities of nonlinear wave propagation in waveguides and explains how the stratification depends on the waveguide and confinement. An example of this is an optical fibre that does not allow light to pass through a density jump. The book also discusses propagation in the nonlinear regime, which is characterized by a specific waveform and amplitude, to demonstrate so-called solitonic behaviour. In this case, a wave may be strongly localized, and propagates with a weak change in shape. In the waveguide case there are additional contributions of dispersion originating from boundary or asymptotic conditions. Offering concrete guidance on solving application problems, this essentially (more than twice) expanded second edition includes various aspects of guided propagation of nonlinear waves as well as new topics like solitonic behaviour of one-mode and multi-mode excitation and propagation and plasma waveguides, propagation peculiarities of electromagnetic waves in metamaterials, new types of dispersion, dissipation, electromagnetic waveguides, planetary waves and plasma waves interaction. The key feature of the solitonic behaviour is based on Coupled KdV and Coupled NS systems. The systems are derived in this book and solved numerically with the proof of stability and convergence. The domain wall dynamics of ferromagnetic microwaveguides and Bloch waves in nano-waveguides are also included with some problems of magnetic momentum and charge transport.

Author : Sergey Leble
Publisher : Springer
Page : 288 pages
File Size : 55,6 Mb
Release : 2019-07-03
Category : Science
ISBN : 9783030226527

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Waveguide Propagation of Nonlinear Waves by Sergey Leble Pdf

This book addresses the peculiarities of nonlinear wave propagation in waveguides and explains how the stratification depends on the waveguide and confinement. An example of this is an optical fibre that does not allow light to pass through a density jump. The book also discusses propagation in the nonlinear regime, which is characterized by a specific waveform and amplitude, to demonstrate so-called solitonic behaviour. In this case, a wave may be strongly localized, and propagates with a weak change in shape. In the waveguide case there are additional contributions of dispersion originating from boundary or asymptotic conditions. Offering concrete guidance on solving application problems, this essentially (more than twice) expanded second edition includes various aspects of guided propagation of nonlinear waves as well as new topics like solitonic behaviour of one-mode and multi-mode excitation and propagation and plasma waveguides, propagation peculiarities of electromagnetic waves in metamaterials, new types of dispersion, dissipation, electromagnetic waveguides, planetary waves and plasma waves interaction.The key feature of the solitonic behaviour is based on Coupled KdV and Coupled NS systems. The systems are derived in this book and solved numerically with the proof of stability and convergence. The domain wall dynamics of ferromagnetic microwaveguides and Bloch waves in nano-waveguides are also included with some problems of magnetic momentum and charge transport.

Author : Carlo G. Someda,George Stegeman
Publisher : Elsevier Publishing Company
Page : 256 pages
File Size : 44,6 Mb
Release : 1992
Category : Science
ISBN : UOM:39015029294553

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Anisotropic and Nonlinear Optical Waveguides by Carlo G. Someda,George Stegeman Pdf

Dielectric optical waveguides have been investigated for more than two decades. In the last ten years they have had the unique position of being simultaneously the backbone of a very practical and fully developed technology, as well as an extremely exciting area of basic, forefront research. Existing waveguides can be divided into two sets: one consisting of waveguides which are already in practical use, and the second of those which are still at the laboratory stage of their evolution. This book is divided into two separate parts: the first dealing with anisotropic waveguides, and the second with nonlinear behaviour. Nonlinear behaviour in optical waveguides is a topic of current research interest, an effect eagerly being sought in waveguides. The relative importance of nonlinearity versus anisotropy in theoretical papers changes enormously from problem to problem. Many theories can be quite useful and enlightening even though they neglect entirely one of the two aspects. Scientists may find their research work leading them in the near future to deal simultaneously with anisotropy and nonlinearity in order to pursue their own investigations.This book will be of interest to researchers who first need to understand the individual topics, suitably chosen from the two parts of this work, thus providing them with the necessary ingredients to pursue their explorations.

Author : Xin-Hua Wang
Publisher : Routledge
Page : 314 pages
File Size : 45,7 Mb
Release : 2019-06-14
Category : Technology & Engineering
ISBN : 9781351448574

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Finite Element Methods for Nonlinear Optical Waveguides by Xin-Hua Wang Pdf

This book provides researchers at the forefront of nonlinear optical technologies with robust procedures and software for the systematic investigation of the fundamental phenomena in nonlinear optical waveguide structures. A full vectorial electromagnetic formulation is adopted and the conditions under which simplification to a scalar formulation is possible are clearly indicated. The need to model the dielectric saturation properly is identified, and improved algorithms are presented for obtaining the complete power dispersion curve of structures exhibiting bistability. As the stability analysis of nonlinear modes is crucial to the development of nonlinear model methods, an effective procedure to investigate the propagation of the scalar nonlinear waves in 3D is another important feature of the book. All of the procedures described, as well as an automatic mesh generator for the finite element method, are incorporated into a software package which is included with this book.

Author : Toshiaki Suhara,Masatoshi Fujimura
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 52,6 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662108727

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Waveguide Nonlinear-Optic Devices by Toshiaki Suhara,Masatoshi Fujimura Pdf

The most comprehensive book on waveguide nonlinear optic devices, this volume presents a systematic description of the NLO field, with an emphasis on devices that use ferroelectric waveguides. It ranges from an introduction to the concepts of waveguides to the most recent experimental results.

Author : A.D. Boardman,M. Bertolotti,T. Twardowski
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468458985

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Nonlinear Waves in Solid State Physics by A.D. Boardman,M. Bertolotti,T. Twardowski Pdf

This book is based on the contributions to the 17th International School of Materials Sci ence and Technology, entitled Nonlinear Waves in Solid State Physics. This was held as a NATO Advanced Study Institute at the Ettore Majorana Centre in Erice, Sicily between the st th 1 and 15 July 1989, and attracted almost 100 participants from over 20 different countries. The book covers the fundamental properties of nonlinear waves in solid state materials, dealing with both theory and experiment. The aim is to emphasise the methods underpinning the important new developments in this area. The material is organised into subject areas that can broadly be classified into the following groups: the theory of nonlinear surface and guided waves in self-focusing magnetic and non-magnetic materials; nonlinear effects at in terfaces; nonlinear acoustoelectronic and surface acoustic waves; Lagrangian and Hamiltonian formulations of nonlinear problems; nonlinear effects in optical fibres; resonance phenomena; and nonlinear integrated optics. The chapters have been grouped together according to these classifications as closely as possible, but it should be borne in mind that although there is much overlap of ideas, each chapter is essentially independent of the others. We would like to acknowledge the sponsorship of the NATO Scientific Affairs Division, the European Physical Society, the National Science Foundation of the USA, the European Research Office, the Italian Ministry of Education, the Italian Ministry of Scientific and Technological Research, the Sicilian Regional Government and the Ugo Bordoni Foundation.

Author : C.G. Someda,G.I. Stegeman
Publisher : Elsevier
Page : 247 pages
File Size : 44,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444598943

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Anisotropic and Nonlinear Optical Waveguides by C.G. Someda,G.I. Stegeman Pdf

Dielectric optical waveguides have been investigated for more than two decades. In the last ten years they have had the unique position of being simultaneously the backbone of a very practical and fully developed technology, as well as an extremely exciting area of basic, forefront research. Existing waveguides can be divided into two sets: one consisting of waveguides which are already in practical use, and the second of those which are still at the laboratory stage of their evolution. This book is divided into two separate parts: the first dealing with anisotropic waveguides, and the second with nonlinear behaviour. Nonlinear behaviour in optical waveguides is a topic of current research interest, an effect eagerly being sought in waveguides. The relative importance of nonlinearity versus anisotropy in theoretical papers changes enormously from problem to problem. Many theories can be quite useful and enlightening even though they neglect entirely one of the two aspects. Scientists may find their research work leading them in the near future to deal simultaneously with anisotropy and nonlinearity in order to pursue their own investigations. This book will be of interest to researchers who first need to understand the individual topics, suitably chosen from the two parts of this work, thus providing them with the necessary ingredients to pursue their explorations.

Author : Jüri Engelbrecht
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642747892

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Nonlinear Waves in Active Media by Jüri Engelbrecht Pdf

TIlis volume contains the contributions to the Euromech Colloquium No. 241 on Nonlinear Waves in Active Media at the Institute of Cybernetics of the Estonian Academy of Sciences, Tallinn, Estonia, USSR, September 27-30, 1988. The Co-chairmen of the Euromech Colloquium felt that it would be a good service to the community to publish these proceedings. First, the topic itself dealing with various wave processes with energy influx is extremely interesting and attracted a much larger number of participants than usual - a clear sign of its importance to the scientific community. Second, Euromech No. 241 was actually the first Euromech Colloquium held in the Soviet Union and could thus be viewed as a milestone in the extending scientific contacts between East and West. At the colloquium 50 researchers working in very different branches of sci ence met to lecture on their results and to discuss problems of common interest. An introductory paper by I. Engelbrecht presents the common motivation and background of the topics covered. Altogether 36 speakers presented their lectures, of which 30 are gathered here. The remaining six papers which will appear elsewhere are listed on page X. In addition, three contributions by authors who could not attend the colloquium are included. The two lectures given by A.S. Mikhailov, V.S. Davydov and V.S. Zykov are here published as one long paper.

Author : Vladimir Evgenʹevich Zakharov
Publisher : American Mathematical Soc.
Page : 212 pages
File Size : 51,8 Mb
Release : 1998
Category : Hamiltonian systems
ISBN : 0821841130

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Nonlinear Waves and Weak Turbulence by Vladimir Evgenʹevich Zakharov Pdf

This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincare normal forms and the inverse scattering method.

Author : Bilen Emek Abali,Ivan Giorgio
Publisher : Springer Nature
Page : 484 pages
File Size : 40,8 Mb
Release : 2020-07-06
Category : Science
ISBN : 9783030504649

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Developments and Novel Approaches in Biomechanics and Metamaterials by Bilen Emek Abali,Ivan Giorgio Pdf

This book presents a selection of cutting-edge methods that allow readers to obtain novel models for nonlinear solid mechanics. Today, engineers need more accurate techniques for modeling solid body mechanics, chiefly due to innovative methods like additive manufacturing—for example, 3D printing—but also due to miniaturization. This book focuses on the formulation of continuum and discrete models for complex materials and systems, and especially the design of metamaterials. It gathers outstanding papers from the international conference IcONSOM 2019

Author : Philip Barnes Burt
Publisher : CRC Press
Page : 352 pages
File Size : 49,8 Mb
Release : 1981
Category : Science
ISBN : 3718600722

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Quantum Mechanics and Nonlinear Waves by Philip Barnes Burt Pdf

Author : K. Naugolnykh,L. Ostrovsky
Publisher : Cambridge University Press
Page : 316 pages
File Size : 44,9 Mb
Release : 1998-05-28
Category : Mathematics
ISBN : 052139984X

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Nonlinear Wave Processes in Acoustics by K. Naugolnykh,L. Ostrovsky Pdf

This text considers models of different "acoustic" media as well as equations and behavior of finite-amplitude waves. It also considers the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction on the evolution and interaction of acoustic beams.

Author : Lokenath Debnath
Publisher : Cambridge University Press
Page : 372 pages
File Size : 41,9 Mb
Release : 2009-01-08
Category : Mathematics
ISBN : 9780511868610

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Nonlinear Waves by Lokenath Debnath Pdf

The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover all the main fields of research, including nonlinear water waves, K-dV equations, solitions and inverse scattering transforms, stability of solitary waves, resonant wave interactions, nonlinear evolution equations, nonlinear wave phenomena in plasmas, recurrence phenomena in nonlinear wave systems, and the structure and dynamics of envelope solitions in plasmas.