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 : 2024-02-28
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 2024-02-28 with Science categories.
This book highlights the dynamical behavior of self-similar waves in graded-index waveguides in (1+1)-dimensions and (2+1)-dimensions. The mechanism to control these optical similaritons by tailoring the tapering profile is presented. Various nonlinear waves like rogons, butterfly-shaped, and dromion-like waves and their controllable behavior are discussed in detail. The phenomenon of unbreakable Parity-Time symmetry of some of these waves has been delineated for different variety of solvable potentials. Compression of these exotic waves has been demonstrated for dispersion decreasing fiber and periodic management of dispersion and nonlinearity parameters. Competing cubic-quintic nonlinearity scenario and its potential implication on the dynamics of these similaritons has been described in detail. Symbiotic self-similar rogue waves have been discussed in (2+1)-dimensional garded-index waveguide. The book also includes numerical simulations that complement these analytical insights.
Waveguide Propagation Of Nonlinear Waves
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Author : Sergey Leble
language : en
Publisher:
Release Date : 2019
Waveguide Propagation Of Nonlinear Waves written by Sergey Leble and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Acoustics 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.
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.
Nonlinear Waves In Integrable And Non Integrable Systems
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Author : Jianke Yang
language : en
Publisher: SIAM
Release Date : 2010-12-02
Nonlinear Waves In Integrable And Non Integrable Systems written by Jianke Yang and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-02 with Science categories.
Nonlinear Waves in Integrable and Nonintegrable Systems presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind. This book is intended for researchers and graduate students working in applied mathematics and various physical subjects where nonlinear wave phenomena arise (such as nonlinear optics, Bose-Einstein condensates, and fluid dynamics).
Fundamentals Of Optical Waveguides
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Author : Katsunari Okamoto
language : en
Publisher: Elsevier
Release Date : 2010-08-04
Fundamentals Of Optical Waveguides written by Katsunari Okamoto and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-04 with Technology & Engineering categories.
Fundamentals of Optical Waveguides is an essential resource for any researcher, professional or student involved in optics and communications engineering. Any reader interested in designing or actively working with optical devices must have a firm grasp of the principles of lightwave propagation. Katsunari Okamoto has presented this difficult technology clearly and concisely with several illustrations and equations. Optical theory encompassed in this reference includes coupled mode theory, nonlinear optical effects, finite element method, beam propagation method, staircase concatenation method, along with several central theorems and formulas. Since the publication of the well-received first edition of this book, planar lightwave circuits and photonic crystal fibers have fully matured. With this second edition the advances of these fibers along with other improvements on existing optical technologies are completely detailed. This comprehensive volume enables readers to fully analyze, design and simulate optical atmospheres. - Exceptional new chapter on Arrayed-Waveguide Grating (AWG) - In-depth discussion of Photonic Crystal Fibers (PCFs) - Thorough explanation of Multimode Interference Devices (MMI) - Full coverage of polarization Mode Dispersion (PMD)
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.
Nonlinear Waves Classical And Quantum Aspects
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Author : Fatkhulla Abdullaev
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-02
Nonlinear Waves Classical And Quantum Aspects written by Fatkhulla Abdullaev 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 2006-03-02 with Science categories.
Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.
Nonlinear Wave Processes In Acoustics
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Author : K. Naugolnykh
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-28
Nonlinear Wave Processes In Acoustics written by K. Naugolnykh and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-28 with Mathematics categories.
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.