Modulating The Nonlinearity
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Nonlinear Periodic Waves And Their Modulations
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Author : Anatoli? Mikha?lovich Kamchatnov
language : en
Publisher: World Scientific
Release Date : 2000
Nonlinear Periodic Waves And Their Modulations written by Anatoli? Mikha?lovich Kamchatnov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion. The Whitham method, which describes the combining action of the dispersive and nonlinear effects as modulations of periodic waves, is not widely used by applied mathematicians and physicists, though it provides a direct and natural way to treat various problems in nonlinear wave theory. Therefore it is topical to describe recent developments of the Whitham theory in a clear and simple form suitable for applications in various branches of physics.This book develops the techniques of the theory of nonlinear periodic waves at elementary level and in great pedagogical detail. It provides an introduction to a Whitham's theory of modulation in a form suitable for applications. The exposition is based on a thorough analysis of representative examples taken from fluid mechanics, nonlinear optics and plasma physics rather than on the formulation and study of a mathematical theory. Much attention is paid to physical motivations of the mathematical methods developed in the book. The main applications considered include the theory of collisionless shock waves in dispersive systems and the nonlinear theory of soliton formation in modulationally unstable systems. Exercises are provided to amplify the discussion of important topics such as singular perturbation theory, Riemann invariants, the finite gap integration method, and Whitham equations and their solutions.
Stability And Oscillations Of Nonlinear Pulse Modulated Systems
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Author : Arkadii Kh. Gelig
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stability And Oscillations Of Nonlinear Pulse Modulated Systems written by Arkadii Kh. Gelig 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 Technology & Engineering categories.
There are two main fields of application of pulse-modulated sys tems, communications and control. Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed attracted our efforts. The peculiarity of this book is that all back the sampled-data systems are considered in continuous time, so no discrete time schemes are presented. And finally, we pay a little at tention to pulse-amplitude modulation which was treated in a vast number of publications. The primary fields of our interest are pulse width, pulse-frequency, and pulse-phase modulated control systems. The study of such systems meets with substantial difficulties. An engineer, who embarks on theoretical investigations of a pulse-mo dulated control, is often embarrassed by the sophisticated mathe matical tools he needs to know. When a mathematician, who looks for practical applications of his mathematical machinery, meets with these systems, he faces a lot of of complicated technical schemes and terms. Probably this is the reason why publications on pulse modu lation are seldom in scientific journals. As for books on this subject (save on amplitude modulation), the significant part of them is in Russian and hardly available for a non-Russian reader.
Phase Modulated Optical Communication Systems
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Author : Keang-Po Ho
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-01
Phase Modulated Optical Communication Systems written by Keang-Po Ho 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 2005-07-01 with Technology & Engineering categories.
Fiber-optic communication systems have revolutionized our telecommunication infrastructures – currently, almost all telephone land-line, cellular, and internet communications must travel via some form of optical fibers. In these transmission systems, neither the phase nor frequency of the optical signal carries information – only the intensity of the signal is used. To transmit more information in a single optical carrier, the phase of the optical carrier must be explored. As a result, there is renewed interest in phase-modulated optical communications, mainly in direct-detection DPSK signals for long-haul optical communication systems. When optical amplifiers are used to maintain certain signal level among the fiber link, the system is limited by amplifier noises and fiber nonlinearities. Phase-Modulated Optical Communication Systems surveys this newly popular area, covering the following topics: - The transmitter and receiver for phase-modulated coherent lightwave systems - Method for performance analysis of phase-modulated optical signals - Direct-detection DPSK signal with fiber nonlinearities, degraded by nonlinear phase noise and intrachannel effects - Wavelength-division-multiplexed direct-detection DPSK signals - Multi-level phase-modulated optical signals, such as the four-phase DQPSK signal. Graduate students, professional engineers, and researchers will all benefit from this updated treatment of an important topic in the optical communications field.
Symmetry Phase Modulation And Nonlinear Waves
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Author : Thomas J. Bridges
language : en
Publisher: Cambridge University Press
Release Date : 2017-07-03
Symmetry Phase Modulation And Nonlinear Waves written by Thomas J. Bridges 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 2017-07-03 with Mathematics categories.
Bridges studies the origin of Korteweg-de Vries equation using phase modulation and its implications in dynamical systems and nonlinear waves.
Nonlinear Precoding And Trellis Coding For Modern Modulation
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-05-07
Nonlinear Precoding And Trellis Coding For Modern Modulation written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-07 with Technology & Engineering categories.
**Nonlinear Precoding and Trellis Coding for Modern Modulation** is a comprehensive guide to the theory and applications of nonlinear precoding and trellis coding. These two powerful techniques can be used to improve the performance of communication systems by reducing the effects of nonlinear distortion and improving the error performance of the system, respectively. In this book, Pasquale De Marco provides a thorough overview of nonlinear precoding and trellis coding, making them accessible to a wide range of readers. The book begins by introducing the basic concepts of nonlinear precoding and trellis coding, and then discusses the different types of nonlinear precoding and trellis codes that are available. The book also discusses the applications of nonlinear precoding and trellis coding in communication systems, including both wireless and wireline applications. **Nonlinear Precoding and Trellis Coding for Modern Modulation** is a valuable resource for researchers, engineers, and students who are interested in the field of communication systems. The book provides a comprehensive overview of these two important techniques, and it is written in a clear and concise style. The book is also well-organized, with each chapter building on the previous chapters. This book is an essential resource for anyone who wants to learn about nonlinear precoding and trellis coding. It is also a valuable reference for researchers who are working in the field of communication systems. **Key Features:** * Provides a comprehensive overview of nonlinear precoding and trellis coding * Discusses the different types of nonlinear precoding and trellis codes * Covers the applications of nonlinear precoding and trellis coding in communication systems * Written in a clear and concise style * Well-organized, with each chapter building on the previous chapters If you like this book, write a review on google books!
Fluctuating Nonlinear Oscillators
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Author : Mark Dykman
language : en
Publisher: Oxford University Press
Release Date : 2012-07-26
Fluctuating Nonlinear Oscillators written by Mark Dykman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-26 with Mathematics categories.
The book provides a unifying insight into a broad range of phenomena displayed by vibrational systems of current interest. The chapters complement each other to give an account of the major fundamental results and applications in quantum information, condensed matter physics, and engineering.
Phaselock Techniques
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Author : Floyd M. Gardner
language : en
Publisher: John Wiley & Sons
Release Date : 2005-08-08
Phaselock Techniques written by Floyd M. Gardner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-08 with Science categories.
A greatly revised and expanded account of phaselock technology The Third Edition of this landmark book presents new developments in the field of phaselock loops, some of which have never been published until now. Established concepts are reviewed critically and recommendations are offered for improved formulations. The work reflects the author's own research and many years of hands-on experience with phaselock loops. Reflecting the myriad of phaselock loops that are now found in electronic devices such as televisions, computers, radios, and cell phones, the book offers readers much new material, including: * Revised and expanded coverage of transfer functions * Two chapters on phase noise * Two chapters examining digital phaselock loops * A chapter on charge-pump phaselock loops * Expanded discussion of phase detectors and of oscillators * A chapter on anomalous phaselocking * A chapter on graphical aids, including Bode plots, root locus plots, and Nichols charts As in the previous editions, the focus of the book is on underlying principles, which remain valid despite technological advances. Extensive references guide readers to additional information to help them explore particular topics in greater depth. Phaselock Techniques, Third Edition is intended for practicing engineers, researchers, and graduate students. This critically acclaimed book has been thoroughly updated with new information and expanded for greater depth.
Guided Wave Nonlinear Optics
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Author : D.B. Ostrowsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Guided Wave Nonlinear Optics written by D.B. Ostrowsky 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.
The object of this school, held at Cargese, Corsica (France) from August 12th to 24th 1991, was the presentation of the field of guided wave nonlinear optics in a comprehensive, coherent, and heuristic fashion. It seems appropriate that this school began with an historical introduction by Professor Nicolaas Bloembergen of Harvard, the acknowledged "father" of nonlinear optics, in general, and concluded with a round table discussion headed by Dr. Eric Spitz, the Scientific Director of a multinational electronics company interested in developing industrial applications of guided wave nonlinear optics. The lectures covered both the theoretical framework of the field and applications to basic scientific research, optical communications and technical instrumentation. Specific topics developed included materials for guided wave nonlinear optics, nonlinear interactions using integrated optical guides, nonlinear surface waves, solitons, fiber nonlinear optics, ultra-fast coupler switching as well as the related topic of fiber and integrated optical lasers and amplifiers. Lectures have also been devoted to squeezed states, chaos and strange attractors. The subjects covered by the school underlines one of the major ways in which this field has evolved over the past thirty some odd years. The path from the original experiments with materials requiring mega-watt power lasers to the recent developments in guided wave configurations using milliwatt power diode lasers is marked by the conjunction of ever improving fundamental scientific comprehension and continuing technological developments.
Nonlinear Waves
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Author : Emmanuel Kengne
language : en
Publisher: Springer Nature
Release Date : 2023-02-23
Nonlinear Waves written by Emmanuel Kengne and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-23 with Science categories.
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.
Schr Dinger Equations In Nonlinear Systems
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Author : Wu-Ming Liu
language : en
Publisher: Springer
Release Date : 2019-03-20
Schr Dinger Equations In Nonlinear Systems written by Wu-Ming Liu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-20 with Science categories.
This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schrödinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schrödinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose–Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.