Nonlinear Waves In Solid State Physics

Author : A.D. Boardman,M. Bertolotti,T. Twardowski
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 47,9 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 : A.I. Maimistov,A.M. Basharov
Publisher : Springer Science & Business Media
Page : 668 pages
File Size : 47,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401724487

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Nonlinear Optical Waves by A.I. Maimistov,A.M. Basharov Pdf

A non-linear wave is one of the fundamental objects of nature. They are inherent to aerodynamics and hydrodynamics, solid state physics and plasma physics, optics and field theory, chemistry reaction kinetics and population dynamics, nuclear physics and gravity. All non-linear waves can be divided into two parts: dispersive waves and dissipative ones. The history of investigation of these waves has been lasting about two centuries. In 1834 J. S. Russell discovered the extraordinary type of waves without the dispersive broadening. In 1965 N. J. Zabusky and M. D. Kruskal found that the Korteweg-de Vries equation has solutions of the solitary wave form. This solitary wave demonstrates the particle-like properties, i. e. , stability under propagation and the elastic interaction under collision of the solitary waves. These waves were named solitons. In succeeding years there has been a great deal of progress in understanding of soliton nature. Now solitons have become the primary components in many important problems of nonlinear wave dynamics. It should be noted that non-linear optics is the field, where all soliton features are exhibited to a great extent. This book had been designed as the tutorial to the theory of non-linear waves in optics. The first version was projected as the book covering all the problems in this field, both analytical and numerical methods, and results as well. However, it became evident in the process of work that this was not a real task.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 40,8 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9789814486354

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Amplification of Nonlinear Strain Waves in Solids by Anonim Pdf

Author : A. Jeffrey,J. Engelbrecht
Publisher : Springer
Page : 385 pages
File Size : 42,6 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709124444

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Nonlinear Waves in Solids by A. Jeffrey,J. Engelbrecht Pdf

Travelling wave processes and wave motion are of great importance in many areas of mechanics, and nonlinearity also plays a decisive role there. The basic mathematical models in this area involve nonlinear partial differential equations, and predictability of behaviour of wave phenomena is of great importance. Beside fluid dynamics and gas dynamics, which have long been the traditional nonlinear scienes, solid mechanics is now taking an ever increasing account of nonlinear effects. Apart from plasticity and fracture mechanics, nonlinear elastic waves have been shown to be of great importance in many areas, such as the study of impact, nondestructive testing and seismology. These lectures offer a thorough account of the fundamental theory of nonlinear deformation waves, and in the process offer an up to date account of the current state of research in the theory and practice of nonlinear waves in solids.

Author : Alexander G. Bagdoev,Vladimir I. Erofeyev,Ashot V. Shekoyan
Publisher : Springer
Page : 274 pages
File Size : 43,5 Mb
Release : 2015-09-25
Category : Science
ISBN : 9783642372674

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Wave Dynamics of Generalized Continua by Alexander G. Bagdoev,Vladimir I. Erofeyev,Ashot V. Shekoyan Pdf

This monograph is devoted to problems of propagation and stability of linear and nonlinear waves in continuous media with complex structure. It considers the different media, such as solid with cavities, preliminary deformed disperse medium, solid with porosity filled by the electrically conductive and non-conductive liquid, magnetoelastic, piezo-semiconductors, crystals with dislocations, composites with inclusions, an electrically conductive asymmetrical liquid, a mixture of gas with a drop liquid. The book also considers the propagation of a laser beam through a two-level medium. The presented results are based on methods of evolution and modulation equations that were developed by the authors. The book is intended for scientific and technical researchers, students and post-graduate students specializing in mechanics of continuous media, physical acoustics, and physics of the solid state.

Author : H.-E. Ponath,G.I. Stegeman
Publisher : Elsevier
Page : 671 pages
File Size : 45,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444600523

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Nonlinear Surface Electromagnetic Phenomena by H.-E. Ponath,G.I. Stegeman Pdf

In recent years the physics of electromagnetic surface phenomena has developed rapidly, evolving into technologies for communications and industry, such as fiber and integrated optics. The variety of phenomena based on electromagnetism at surfaces is rich and this book was written with the aim of summarizing the available knowledge in selected areas of the field. The book contains reviews written by solid state and optical physicists on the nonlinear interaction of electromagnetic waves at and with surfaces and films. Both the physical phenomena and some potential applications are dealt with. Included are discussions of nonlinear wave mixing on films and surfaces, second harmonic generation in waveguides and at surfaces, nonlinear waves guided by dielectric and semiconductor surfaces and films, surface gratings formed by high energy laser beams, and reflection and transmission switching of strong beams onto nonlinear surfaces. Chapters on light scattering from surface excitations and magnetic order-disorder and orientational phase transitions complete this essential contribution to the modern optics literature.

Author : Anonim
Publisher : Academic Press
Page : 280 pages
File Size : 46,8 Mb
Release : 2011-11-25
Category : Science
ISBN : 9780080921556

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Solid State Physics by Anonim Pdf

Solid state physics is the branch of physics primarily devoted to the study of matter in its solid phase, especially at the atomic level. This prestigious serial presents timely and state-of-the-art reviews pertaining to all aspects of solid state physics.

Author : Luis L. Bonilla,Stephen W. Teitsworth
Publisher : John Wiley & Sons
Page : 287 pages
File Size : 50,7 Mb
Release : 2009-12-09
Category : Science
ISBN : 3527628681

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Nonlinear Wave Methods for Charge Transport by Luis L. Bonilla,Stephen W. Teitsworth Pdf

The present book introduces and develops mathematical techniques for the treatment of nonlinear waves and singular perturbation methods at a level that is suitable for graduate students, researchers and faculty throughout the natural sciences and engineering. The practice of implementing these techniques and their value are largely realized by showing their application to problems of nonlinear wave phenomena in electronic transport in solid state materials, especially bulk semiconductors and semiconductor superlattices. The authors are recognized leaders in this field, with more than 30 combined years of contributions.

Author : M. Borissov
Publisher : World Scientific Publishing Company
Page : 504 pages
File Size : 51,8 Mb
Release : 1983
Category : Science
ISBN : UOM:39015017224141

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Optical and Acoustic Waves in Solids--modern Topics by M. Borissov Pdf

Author : Philip Barnes Burt
Publisher : CRC Press
Page : 352 pages
File Size : 43,8 Mb
Release : 1981
Category : Science
ISBN : 3718600722

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Quantum Mechanics and Nonlinear Waves by Philip Barnes Burt Pdf

Author : Bernhard Kramer
Publisher : Springer
Page : 644 pages
File Size : 46,7 Mb
Release : 2003-07-01
Category : Science
ISBN : 9783540449461

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Advances in Solid State Physics by Bernhard Kramer Pdf

The 2001 Spring Meeting of the 65th Deutsche Physikalische Gesellschaft was held together with the 65. Physikertagung, in Hamburg, during the pe riod March 26 30 2001. With more than 3500 conference attendees, a record has again been achieved after several years of stabilisation in participation. This proves the continuing and now even increasing, attraction of solid state physics, especially for young colleagues who often discuss for the first time their scientific results in public at this meeting. More than 2600 scientific pa pers were presented orally, as well as posters, among them about 120 invited lectures from Germany and from abroad. This Volume 41 of "Advances in Solid State Physics" contains the written versions of half of the latter. We nevertheless hope that the book truly reflects the current state of the field. Amazingly enough, the majority of the papers as well as the discussions at the meeting, concentrated on the nanostructured solid state. This re flects the currently extremely intensive quest for developing the electronic and magnetic device generations of the future, which stimulates science be sides the challenge of the unknown as has always been the case since the very beginning of Solid State Physics about 100 years ago.

Author : Gérard A. Maugin
Publisher : Unknown
Page : 328 pages
File Size : 40,5 Mb
Release : 1999
Category : Mathematics
ISBN : 0198534841

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Nonlinear Waves in Elastic Crystals by Gérard A. Maugin Pdf

The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. Students are introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.

Author : Vladimir V Konotop,Luis Vázquez
Publisher : World Scientific
Page : 308 pages
File Size : 52,9 Mb
Release : 1994-07-26
Category : Science
ISBN : 9789814502153

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Nonlinear Random Waves by Vladimir V Konotop,Luis Vázquez Pdf

This book is mainly devoted to the dynamics of the one-dimensional nonlinear stochastic waves. It contains a description of the basic mathematical tools as well as the latest results in the following fields: exactly integrable nonlinear stochastic equations, dynamics of the nonlinear waves in random media, evolution of the random waves in nonlinear media and the basic concepts of the numerical simulations in nonlinear random wave dynamics. A brief outline of the localization phenomenon in the nonlinear medium is also given. The approach is interdisciplinary describing the general methods with application to specific examples. The results presented may be useful for those who work in the areas of solid state physics, hydrodynamics, nonlinear optics, plasma physics, mathematical models of micromolecules and biological structures, …etc. Since many results are based on the inverse scattering technique, perturbation theory for solitons and the methods of the statistical radiophysics, the terminology of the respective fields is used. Contents: IntroductionLinear Random Waves. Some Basic ResultsExactly Solvable ModelsDirect Perturbation MethodsFrom Inverse Scattering to Perturbative ApproachDynamical Solitons under Random PerturbationsSine-Gordon Kinks under Random PerturbationsRandom Wave Packets in Nonlinear MediaDynamics of Randomly Modulated SolitonsWaves in Nonlinear Stationary Inhomogeneous MediaNumerical Study of the Single-Particle MotionNumerical Studies: A Panoramic ViewNonlinear Klein-Gordon ModelsSimulations with Dynamical and Envelope Solitons Readership: Researchers, postgraduate and undergraduate students of theoretical physics, applied mathematics and mathematical physics. keywords:Solitons;Perturbation Methods;Random Perturbations;Numerical Methods;Stochastic Simulations;Linear Random Waves;Sine-Gordon Kinks;Korteweg-de Vries Solitons;Nonlinear Schrodinger Solitons;Inverse Scattering

Author : Nizar Abcha,Efim Pelinovsky,Innocent Mutabazi
Publisher : Springer
Page : 229 pages
File Size : 45,6 Mb
Release : 2018-04-20
Category : Science
ISBN : 9783319781938

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Nonlinear Waves and Pattern Dynamics by Nizar Abcha,Efim Pelinovsky,Innocent Mutabazi Pdf

This book addresses the fascinating phenomena associated with nonlinear waves and spatio-temporal patterns. These appear almost everywhere in nature from sand bed forms to brain patterns, and yet their understanding still presents fundamental scientific challenges. The reader will learn here, in particular, about the current state-of-the art and new results in: Nonlinear water waves: resonance, solitons, focusing, Bose-Einstein condensation, as well as and their relevance for the sea environment (sea-wind interaction, sand bed forms, fiber clustering) Pattern formation in non-equilibrium media: soap films, chimera patterns in oscillating media, viscoelastic Couette-Taylor flow, flow in the wake behind a heated cylinder, other pattern formation. The editors and authors dedicate this book to the memory of Alexander Ezersky, Professor of Fluid Mechanics at the University of Caen Normandie (France) from September 2007 to July 2016. Before 2007, he had served as a Senior Scientist at the Institute of Applied Physics of the Russian Academy of Sciences in Nizhny Novgorod (Russia). The chapters have been written by leading scientists in Nonlinear Physics, and the topics chosen so as to cover all the fields to which Prof. Ezersky himself contributed, by means of experimental, theoretical and numerical approaches. The volume will appeal to advanced students and researchers studying nonlinear waves and pattern dynamics, as well as other scientists interested in their applications in various natural media.

Author : Minoru Fujimoto
Publisher : Morgan & Claypool Publishers
Page : 217 pages
File Size : 50,8 Mb
Release : 2014-03-01
Category : Science
ISBN : 9781627052771

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Introduction to the Mathematical Physics of Nonlinear Waves by Minoru Fujimoto Pdf

Nonlinear physics is a well-established discipline in physics today, and this book offers a comprehensive account of the basic soliton theory and its applications. Although primarily mathematical, the theory for nonlinear phenomena in practical environment