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Dissipative Solitons
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Book Synopsis Dissipative Solitons by : Nail Akhmediev
Download or read book Dissipative Solitons written by Nail Akhmediev and published by Springer Science & Business Media. This book was released on 2005-04-25 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the exciting topic of dissipative solitons, i.e. pulses or spatially localised waves in systems exhibiting gain and loss. Examples are laser systems, nonlinear resonators and optical transmission lines. The physical principles and mathematical concepts are explained in a clear and concise way, suitable for students and young researchers. The similarities and differences in the notion of a soliton between dissipative systems and Hamiltonian and integrable systems are discussed, and many examples are given. The contributions are written by the world's leading experts in the field, making it a unique exposition of this emerging topic.
Book Synopsis Dissipative Solitons: From Optics to Biology and Medicine by : Nail Akhmediev
Download or read book Dissipative Solitons: From Optics to Biology and Medicine written by Nail Akhmediev and published by Springer Science & Business Media. This book was released on 2008-08-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s; nonlinear dynamics theory; and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples.
Book Synopsis Dissipative Solitons in Reaction Diffusion Systems by : Andreas Liehr
Download or read book Dissipative Solitons in Reaction Diffusion Systems written by Andreas Liehr and published by Springer Science & Business Media. This book was released on 2013-03-27 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why writing a book about a specialized task of the large topic of complex systems? And who will read it? The answer is simple: The fascination for a didactically valuable point of view, the elegance of a closed concept and the lack of a comprehensive disquisition. The fascinating part is that field equations can have localized solutions exhibiting the typical characteristics of particles. Regarding the field equations this book focuses on, the field phenomenon of localized solutions can be described in the context of a particle formalism, which leads to a set of ordinary differential equations covering the time evolution of the position and the velocity of each particle. Moreover, starting from these particle dynamics and making the transition to many body systems, one considers typical phenomena of many body systems as shock waves and phase transitions, which themselves can be described as field phenomena. Such transitions between different level of modelling are well known from conservative systems, where localized solutions of quantum field theory lead to the mechanisms of elementary particle interaction and from this to field equations describing the properties of matter. However, in dissipative systems such transitions have not been considered yet, which is adjusted by the presented book. The elegance of a closed concept starts with the observation of self-organized current filaments in a semiconductor gas discharge system. These filaments move on random paths and exhibit certain particle features like scattering or the formation of bound states. Neither the reasons for the propagation of the filaments nor the laws of the interaction between the filaments can be registered by direct observations. Therefore a model is established, which is phenomenological in the first instance due to the complexity of the experimental system. This model allows to understand the existence of localized structures, their mechanisms of movement, and their interaction, at least, on a qualitative level. But this model is also the starting point for developing a data analysis method that enables the detection of movement and interaction mechanisms of the investigated localized solutions. The topic is rounded of by applying the data analysis to real experimental data and comparing the experimental observations to the predictions of the model. A comprehensive publication covering the interesting topic of localized solutions in reaction diffusion systems in its width and its relation to the well known phenomena of spirals and patterns does not yet exist, and this is the third reason for writing this book. Although the book focuses on a specific experimental system the model equations are as simple as possible so that the discussed methods should be adaptable to a large class of systems showing particle-like structures. Therefore, this book should attract not only the experienced scientist, who is interested in self-organization phenomena, but also the student, who would like to understand the investigation of a complex system on the basis of a continuous description.
Book Synopsis Dissipative Optical Solitons by : Mário F. S. Ferreira
Download or read book Dissipative Optical Solitons written by Mário F. S. Ferreira and published by Springer Nature. This book was released on 2022-09-23 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic concept of a dissipative soliton, before going to explore recent theoretical and experimental results for various classes of dissipative optical solitons, high-energy dissipative solitons and their applications, and mode-locked fiber lasers. A soliton is a concept which describes various physical phenomena ranging from solitary waves forming on water to ultrashort optical pulses propagating in an optical fiber. While solitons are usually attributed to integrability, in recent years the notion of a soliton has been extended to various systems which are not necessarily integrable. Until now, the main emphasis has been given to well-known conservative soliton systems, but new avenues of inquiry were opened when physicists realized that solitary waves did indeed exist in a wide range of non-integrable and non-conservative systems leading to the concept of so-called dissipative optical solitons. Dissipative optical solitons have many unique properties which differ from those of their conservative counterparts. For example, except for very few cases, they form zero-parameter families and their properties are completely determined by the external parameters of the optical system. They can exist indefinitely in time, as long as these parameters stay constant. These features of dissipative solitons are highly desirable for several applications, such as in-line regeneration of optical data streams and generation of stable trains of laser pulses by mode-locked cavities.
Book Synopsis Solitons in Optical Fiber Systems by : Mario F. S. Ferreira
Download or read book Solitons in Optical Fiber Systems written by Mario F. S. Ferreira and published by John Wiley & Sons. This book was released on 2022-06-21 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solitons in Optical Fiber Systems Discover a robust exploration of the main properties and behaviors of solitons in fiber systems In Solitons in Optical Fiber Systems, distinguished researcher Dr. Mário F. S. Ferreira delivers a thorough treatment of the main characteristics of solitons in optical fiber communication systems and fiber devices, paying special attention to stationary and pulsating dissipative soliton pulses. The book discusses the technical aspects associated with the physical background and the theoretical description of soliton characteristics under different conditions. The author employs numerical analyses and variational approaches to describe soliton evolution and describes the phenomenon of supercontinuum generation and various solitonic effects observed in highly nonlinear fibers, like photonic crystal fibers. Readers will learn about different applications of fiber solitons in transmission systems, fiber lasers, couplers, and pulse compression schemes, as well as complex Ginzburg-Landau equations, which are used to model different types of dissipative systems. The book also includes: A thorough introduction to solitons, including the linear and nonlinear effects of a wave, the discovery of solitary waves, and the discovery of solitons in optical fibers An exploration of fiber dispersion and nonlinearity, including optical fiber dispersion, the pulse propagation equation, and the impact of fiber dispersion Practical discussions of nonlinear effects in optical fibers, including self-phase modulation, cross-phase modulations, four-wave mixing, and stimulated raman scattering In-depth treatments of solitons in optical fibers, including modulation instability, dark solitons, bistable solitons, XPM-paired solitons, and the variational approach Perfect for senior undergraduate and graduate students in courses dealing with fiber-optics technology, Solitons in Optical Fiber Systems is also an ideal resource for engineers and technicians in the fiber-optics industry and researchers of nonlinear fiber optics.
Book Synopsis Solitons in Optical Fiber Systems by : Mario F. S. Ferreira
Download or read book Solitons in Optical Fiber Systems written by Mario F. S. Ferreira and published by John Wiley & Sons. This book was released on 2022-07-20 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solitons in Optical Fiber Systems Discover a robust exploration of the main properties and behaviors of solitons in fiber systems In Solitons in Optical Fiber Systems, distinguished researcher Dr. Mário F. S. Ferreira delivers a thorough treatment of the main characteristics of solitons in optical fiber communication systems and fiber devices, paying special attention to stationary and pulsating dissipative soliton pulses. The book discusses the technical aspects associated with the physical background and the theoretical description of soliton characteristics under different conditions. The author employs numerical analyses and variational approaches to describe soliton evolution and describes the phenomenon of supercontinuum generation and various solitonic effects observed in highly nonlinear fibers, like photonic crystal fibers. Readers will learn about different applications of fiber solitons in transmission systems, fiber lasers, couplers, and pulse compression schemes, as well as complex Ginzburg-Landau equations, which are used to model different types of dissipative systems. The book also includes: A thorough introduction to solitons, including the linear and nonlinear effects of a wave, the discovery of solitary waves, and the discovery of solitons in optical fibers An exploration of fiber dispersion and nonlinearity, including optical fiber dispersion, the pulse propagation equation, and the impact of fiber dispersion Practical discussions of nonlinear effects in optical fibers, including self-phase modulation, cross-phase modulations, four-wave mixing, and stimulated raman scattering In-depth treatments of solitons in optical fibers, including modulation instability, dark solitons, bistable solitons, XPM-paired solitons, and the variational approach Perfect for senior undergraduate and graduate students in courses dealing with fiber-optics technology, Solitons in Optical Fiber Systems is also an ideal resource for engineers and technicians in the fiber-optics industry and researchers of nonlinear fiber optics.
Book Synopsis Polarization Dynamics of Mode-Locked Fiber Lasers by : Sergey V. Sergeyev
Download or read book Polarization Dynamics of Mode-Locked Fiber Lasers written by Sergey V. Sergeyev and published by CRC Press. This book was released on 2023-04-20 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive review of the latest research on the science, technology, and applications of mode-locked fiber lasers generating pulse trains with the evolving state of polarization at time scales ranging from a few pulse widths to 10,000 laser cavity round-trip times. It supports readers with a timely source of information on the current novel scientific concepts, and cost-effective schematics, in addition to an overview of the feasible applications. The book aims to demonstrate for the nonlinear science community a newly emerging field of nonlinear science, and so stimulates the development of new theoretical approaches and opens new horizons for the photonics community by pushing boundaries of the existing laser systems towards new applications. The new classes of optical sources and photonic devices explored in this book will be relevant with applications to other fields, including medicine, bio-photonics, metrology, and environmental safety. Key Features • Provides a cutting edge review of the latest emerging science, technology and applications in the field. • Tackles a topic with fast growing interest in USA, Europe and China. • Explores the simple and cheap design and tests of lasers, and outlines the feasible applications.
Book Synopsis Optical Solitons by : Kuppuswamy Porsezian
Download or read book Optical Solitons written by Kuppuswamy Porsezian and published by Springer. This book was released on 2008-01-11 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optical Solitons represent one of the most exciting and fascinating concepts in modern communications, arousing special interest due to their potential applications in optical fibre communication. This volume focuses on the explicit integration of analytical and experimental methods in nonlinear fibre optics and integrated optics. It covers all important recent technical issues in optical-soliton communication. For example, individual chapters are devoted to topics such as dispersion management and fibre Bragg grating. All authors are leading authorities in their fields.
Book Synopsis Advances in Atomic, Molecular, and Optical Physics by :
Download or read book Advances in Atomic, Molecular, and Optical Physics written by and published by Academic Press. This book was released on 2009-08-04 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume continues the tradition of the Advances series. It contains contributions from experts in the field of atomic, molecular, and optical (AMO) physics. The articles contain some review material, but are intended to provide a comprehensive picture of recent important developments in AMO physics. Both theoretical and experimental articles are included in the volume. - International experts - Comprehensive articles - New developments
Book Synopsis Nonlinear Waves by : Emmanuel Kengne
Download or read book Nonlinear Waves written by Emmanuel Kengne and published by Springer Nature. This book was released on 2023-02-23 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the methods to engineer dissipative and magnetic nonlinear waves propagating in nonlinear systems. In the first part of the book, the authors present methodologically mathematical models of nonlinear waves propagating in one- and two-dimensional nonlinear transmission networks without/with dissipative elements. Based on these models, the authors investigate the generation and the transmission of nonlinear modulated waves, in general, and solitary waves, in particular, in networks under consideration. In the second part of the book, the authors develop basic theoretical results for the dynamics matter-wave and magnetic-wave solitons of nonlinear systems and of Bose–Einstein condensates trapped in external potentials, combined with the time-modulated nonlinearity. The models treated here are based on one-, two-, and three-component non-autonomous Gross–Pitaevskii equations. Based on the Heisenberg model of spin–spin interactions, the authors also investigate the dynamics of magnetization in ferromagnet with or without spin-transfer torque. This research book is suitable for physicists, mathematicians, engineers, and graduate students in physics, mathematics, and network and information engineering.
Book Synopsis Nonlinear Optical Cavity Dynamics by : Philippe Grelu
Download or read book Nonlinear Optical Cavity Dynamics written by Philippe Grelu and published by John Wiley & Sons. This book was released on 2015-12-23 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: By recirculating light in a nonlinear propagation medium, the nonlinear optical cavity allows for countless options of light transformation and manipulation. In passive media, optical bistability and frequency conversion are central figures. In active media, laser light can be generated with versatile underlying dynamics. Emphasizing on ultrafast dynamics, the vital arena for the information technology, the soliton is a common conceptual keyword, thriving into its modern developments with the closely related denominations of dissipative solitons and cavity solitons. Recent technological breakthroughs in optical cavities, from micro-resonators to ultra-long fiber cavities, have entitled the exploration of nonlinear optical dynamics over unprecedented spatial and temporal orders of magnitude. By gathering key contributions by renowned experts, this book aims at bridging the gap between recent research topics with a view to foster cross-fertilization between research areas and stimulating creative optical engineering design.
Book Synopsis Soliton Management in Periodic Systems by : Boris A. Malomed
Download or read book Soliton Management in Periodic Systems written by Boris A. Malomed and published by Springer Science & Business Media. This book was released on 2006-07-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media. This book provides a unique and informative account of the state-of-the-art in the field. The volume opens with a review of the existence of robust solitary pulses in systems built as a periodic concatenation of very different elements. Among the most famous examples of this type of systems are the dispersion management in fiber-optic telecommunication links, and (more recently) photonic crystals. A number of other systems belonging to the same broad class of spatially periodic strongly inhomogeneous media (such as the split-step and tandem models) have recently been identified in nonlinear optics, and transmission of solitary pulses in them was investigated in detail. Similar soliton dynamics occurs in temporal-domain counterparts of such systems, where they are subject to strong time-periodic modulation (for instance, the Feshbach-resonance management in Bose-Einstein condensates). Basis results obtained for all these systems are reviewed in the book. This timely work will serve as a useful resource for the soliton community.
Book Synopsis Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations by : Boris A. Malomed
Download or read book Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations written by Boris A. Malomed and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects a a number of contributions on spontaneous symmetry breaking. Current studies in this general field are going ahead at a full speed. The book present review chapters which give an overview on the major break throughs of recent years. It covers a number of different physical settings which are introduced when a nonlinearity is added to the underlying symmetric problems and its strength exceeds a certain critical value. The corresponding loss of symmetry, called spontaneous symmetry breaking, alias self-trapping into asymmetric states is extensively discussed in this book. The book presents both active theoretical studies of spontaneous symmetry breaking effects as well as experimental findings, chiefly for Bose-Einstein-Condensates with the self-repulsive nonlinearity, and also for photorefractive media in optics.
Book Synopsis Carbon Nanotubes and Graphene for Photonic Applications by : Shinji Yamashita
Download or read book Carbon Nanotubes and Graphene for Photonic Applications written by Shinji Yamashita and published by Elsevier. This book was released on 2013-08-31 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The optical properties of carbon nanotubes and graphene make them potentially suitable for a variety of photonic applications. Carbon nanotubes and graphene for photonic applications explores the properties of these exciting materials and their use across a variety of applications.Part one introduces the fundamental optical properties of carbon nanotubes and graphene before exploring how carbon nanotubes and graphene are synthesised. A further chapter focusses on nonlinearity enhancement and novel preparation approaches for carbon nanotube and graphene photonic devices. Chapters in part two discuss carbon nanotubes and graphene for laser applications and highlight optical gain and lasing in carbon nanotubes, carbon nanotube and graphene-based fiber lasers, carbon-nanotube-based bulk solid-state lasers, electromagnetic nonlinearities in graphene, and carbon nanotube-based nonlinear photonic devices. Finally, part three focusses on carbon-based optoelectronics and includes chapters on carbon nanotube solar cells, a carbon nanotube-based optical platform for biomolecular detection, hybrid carbon nanotube-liquid crystal nanophotonic devices, and quantum light sources based on individual carbon nanotubes.Carbon nanotubes and graphene for photonic applications is a technical resource for materials scientists, electrical engineers working in the photonics and optoelectronics industry and academics and researchers interested in the field. - Covers the properties and fabrication of carbon nanotubes and graphene for photonic applications - Considers the uses of carbon nanotubes and graphene for laser applications - Explores numerous carbon-based light emitters and detectors
Book Synopsis Nonlinear Optical Cavity Dynamics by : Philippe Grelu
Download or read book Nonlinear Optical Cavity Dynamics written by Philippe Grelu and published by John Wiley & Sons. This book was released on 2015-12-14 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: By recirculating light in a nonlinear propagation medium, the nonlinear optical cavity allows for countless options of light transformation and manipulation. In passive media, optical bistability and frequency conversion are central figures. In active media, laser light can be generated with versatile underlying dynamics. Emphasizing on ultrafast dynamics, the vital arena for the information technology, the soliton is a common conceptual keyword, thriving into its modern developments with the closely related denominations of dissipative solitons and cavity solitons. Recent technological breakthroughs in optical cavities, from micro-resonators to ultra-long fiber cavities, have entitled the exploration of nonlinear optical dynamics over unprecedented spatial and temporal orders of magnitude. By gathering key contributions by renowned experts, this book aims at bridging the gap between recent research topics with a view to foster cross-fertilization between research areas and stimulating creative optical engineering design.
Book Synopsis Handbook of Applications of Chaos Theory by : Christos H. Skiadas
Download or read book Handbook of Applications of Chaos Theory written by Christos H. Skiadas and published by CRC Press. This book was released on 2017-12-19 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.
Book Synopsis Localized States in Physics: Solitons and Patterns by : Orazio Descalzi
Download or read book Localized States in Physics: Solitons and Patterns written by Orazio Descalzi and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems driven far from thermodynamic equilibrium can create dissipative structures through the spontaneous breaking of symmetries. A particularly fascinating feature of these pattern-forming systems is their tendency to produce spatially confined states. These localized wave packets can exist as propagating entities through space and/or time. Various examples of such systems will be dealt with in this book, including localized states in fluids, chemical reactions on surfaces, neural networks, optical systems, granular systems, population models, and Bose-Einstein condensates. This book should appeal to all physicists, mathematicians and electrical engineers interested in localization in far-from-equilibrium systems. The authors - all recognized experts in their fields - strive to achieve a balance between theoretical and experimental considerations thereby giving an overview of fascinating physical principles, their manifestations in diverse systems, and the novel technical applications on the horizon.
