Nonlinear Waves In Waveguides
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Nonlinear Waves In Waveguides
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Author : Sergei B. Leble
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Nonlinear Waves In Waveguides written by Sergei B. Leble and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
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.
Waveguide Propagation Of Nonlinear Waves
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Author : Sergey Leble
language : en
Publisher: Springer
Release Date : 2019-07-03
Waveguide Propagation Of Nonlinear Waves written by Sergey Leble and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-03 with Science categories.
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.
Controllable Nonlinear Waves In Graded Index Waveguides Grin
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Author : Thokala Soloman Raju
language : en
Publisher: Springer Nature
Release Date :
Controllable Nonlinear Waves In Graded Index Waveguides Grin written by Thokala Soloman Raju and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Propagation Of Nonlinear Waves In Waveguides And Application To Nondestructive Stress Measurement
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Author : Claudio Nucera
language : en
Publisher:
Release Date : 2012
Propagation Of Nonlinear Waves In Waveguides And Application To Nondestructive Stress Measurement written by Claudio Nucera and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Propagation of nonlinear waves in waveguides is a field that has received an ever increasing interest in the last few decades. Nonlinear guided waves are excellent candidates for interrogating long waveguide like structures because they combine high sensitivity to structural conditions, typical of nonlinear parameters, with large inspection ranges, characteristic of wave propagation in bounded media./DISS_para DISS_paraThe primary topic of this dissertation is the analysis of ultrasonic waves, including ultrasonic guided waves, propagating in their nonlinear regime and their application to structural health monitoring problems, particularly the measurement of thermal stress in Continuous Welded Rail (CWR). Following an overview of basic physical principles generating nonlinearities in ultrasonic wave propagation, the case of higher-harmonic generation in multi-mode and dispersive guided waves is examined in more detail. A numerical framework is developed in order to predict favorable higher-order generation conditions (i.e. specific guided modes and frequencies) for waveguides of arbitrary cross-sections. This model is applied to various benchmark cases of complex structures. The nonlinear wave propagation model is then applied to the case of a constrained railroad track (CWR) subjected to thermal variations. This study is a direct response to the key need within the railroad transportation community to develop a technique able to measure thermal stresses in CWR, or determine the rail temperature corresponding to a null thermal stress (Neutral Temperature - NT). The numerical simulation phase concludes with a numerical study performed using ABAQUS commercial finite element package. These analyses were crucial in predicting the evolution of the nonlinear parameter [Beta] with thermal stress level acting in the rail. A novel physical model, based on interatomic potential, was developed to explain the origin of nonlinear wave propagation under constrained thermal expansion. In fact, where the classical physics of nonlinear wave propagation assumes finite strains, the case at hand of constrained thermal expansion is, instead, characterized by infinitesimal (ideally zero) strains. Hand-in-hand with the theoretical analyses, a comprehensive program of experimental testing has been conducted at UCSD's Large-Scale Rail NT Test-bed, a unique 70-ft track with controlled temperature excursions constructed at UCSD's Powell Laboratories with government and industry funding. A prototype has been constructed for wayside determination of the rail NT based on the measurement of wave nonlinearities. The experimental results obtained with the prototype in the Large-Scale Test-bed are extremely encouraging, showing an accuracy of only a few degrees for the determination of the rail NT. If confirmed in the field, this result could revolutionize the way CWR are maintained to prevent rail buckling with respect to the thermal stress management problem.
Anisotropic And Nonlinear Optical Waveguides
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Author : C.G. Someda
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Anisotropic And Nonlinear Optical Waveguides written by C.G. Someda and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
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.
Waveguide Nonlinear Optic Devices
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Author : Toshiaki Suhara
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Waveguide Nonlinear Optic Devices written by Toshiaki Suhara and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
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.
Amplification Of Nonlinear Waves In A Symmetric Planar Waveguide
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Author : N. N. Akhmediev
language : en
Publisher:
Release Date : 1992
Amplification Of Nonlinear Waves In A Symmetric Planar Waveguide written by N. N. Akhmediev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
The study of nonlinear waves in layered structures proposed has become widespread, stimulated by the progress in the early 1980's. The possibility of using such waves in optoelectronic devices spurred advances in both theory and experiment. Propagation of waves in nonlinear waveguides is usually considered in passive optical systems (a case of transparent, media). In this work we consider for the first time the propagation of waves in nonlinear waveguides with optical gain in the guiding film.
Nonlinear Waves In Solid State Physics
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Author : A.D. Boardman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Waves In Solid State Physics written by A.D. Boardman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Finite Element Methods For Nonlinear Optical Waveguides
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Author : Xin-Hua Wang
language : en
Publisher: Routledge
Release Date : 2019-06-14
Finite Element Methods For Nonlinear Optical Waveguides written by Xin-Hua Wang and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-14 with Technology & Engineering categories.
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.
Amplification Of Nonlinear Strain Waves In Solids
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Author : Alexey V Porubov
language : en
Publisher: World Scientific
Release Date : 2003-07-07
Amplification Of Nonlinear Strain Waves In Solids written by Alexey V Porubov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-07 with Technology & Engineering categories.
This book treats two problems simultaneously: sequential analytical consideration of nonlinear strain wave amplification and selection in wave guides and in a medium; demonstration of the use of even particular analytical solutions to nonintegrable equations in a design of numerical simulation of unsteady nonlinear wave processes. The text includes numerous detailed examples of the strain wave amplification and selection caused by the influence of an external medium, microstructure, moving point defects, and thermal phenomena. The main features of the book are: (1) nonlinear models of the strain wave evolution in a rod subjected by various dissipative/active factors; (2) an analytico-numerical approach for solutions to the governing nonlinear partial differential equations with dispersion and dissipation.This book is essential for introducing readers in mechanics, mechanical engineering, and applied mathematics to the concept of long nonlinear strain wave in one-dimensional wave guides. It is also suitable for self-study by professionals in all areas of nonlinear physics.
