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Introduction To Traveling Waves
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Book Synopsis Introduction to Traveling Waves by : Anna R. Ghazaryan
Download or read book Introduction to Traveling Waves written by Anna R. Ghazaryan and published by CRC Press. This book was released on 2022-11-14 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students. Traveling waves are not typically covered in the undergraduate curriculum, and topics related to traveling waves are usually only covered in research papers, except for a few texts designed for students. This book includes techniques that are not covered in those texts. Through their experience involving undergraduate and graduate students in a research topic related to traveling waves, the authors found that the main difficulty is to provide reading materials that contain the background information sufficient to start a research project without an expectation of an extensive list of prerequisites beyond regular undergraduate coursework. This book meets that need and serves as an entry point into research topics about the existence and stability of traveling waves. Features Self-contained, step-by-step introduction to nonlinear waves written assuming minimal prerequisites, such as an undergraduate course on linear algebra and differential equations. Suitable as a textbook for a special topics course, or as supplementary reading for courses on modeling. Contains numerous examples to support the theoretical material. Supplementary MATLAB codes available via GitHub.
Book Synopsis Introduction to Traveling Waves by : Anna R. Ghazaryan
Download or read book Introduction to Traveling Waves written by Anna R. Ghazaryan and published by CRC Press. This book was released on 2022-11-14 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students. Traveling waves are not typically covered in the undergraduate curriculum, and topics related to traveling waves are usually only covered in research papers, except for a few texts designed for students. This book includes techniques that are not covered in those texts. Through their experience involving undergraduate and graduate students in a research topic related to traveling waves, the authors found that the main difficulty is to provide reading materials that contain the background information sufficient to start a research project without an expectation of an extensive list of prerequisites beyond regular undergraduate coursework. This book meets that need and serves as an entry point into research topics about the existence and stability of traveling waves. Features Self-contained, step-by-step introduction to nonlinear waves written assuming minimal prerequisites, such as an undergraduate course on linear algebra and differential equations. Suitable as a textbook for a special topics course, or as supplementary reading for courses on modeling. Contains numerous examples to support the theoretical material. Supplementary MATLAB codes available via GitHub.
Book Synopsis Wave Propagation by : James H. Williams, Jr.
Download or read book Wave Propagation written by James H. Williams, Jr. and published by MIT Press. This book was released on 2019-12-31 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engineering-oriented introduction to wave propagation by an award-winning MIT professor, with highly accessible expositions and mathematical details—many classical but others not heretofore published. A wave is a traveling disturbance or oscillation—intentional or unintentional—that usually transfers energy without a net displacement of the medium in which the energy travels. Wave propagation is any of the means by which a wave travels. This book offers an engineering-oriented introduction to wave propagation that focuses on wave propagation in one-dimensional models that are anchored by the classical wave equation. The text is written in a style that is highly accessible to undergraduates, featuring extended and repetitive expositions and displaying and explaining mathematical and physical details—many classical but others not heretofore published. The formulations are devised to provide analytical foundations for studying more advanced topics of wave propagation. After a precalculus summary of rudimentary wave propagation and an introduction of the classical wave equation, the book presents solutions for the models of systems that are dimensionally infinite, semi-infinite, and finite. Chapters typically begin with a vignette based on some aspect of wave propagation, drawing on a diverse range of topics. The book provides more than two hundred end-of-chapter problems (supplying answers to most problems requiring a numerical result or brief analytical expression). Appendixes cover equations of motion for strings, rods, and circular shafts; shear beams; and electric transmission lines.
Book Synopsis Traveling Waves on Transmission Systems by : Loyal Vivian Bewley
Download or read book Traveling Waves on Transmission Systems written by Loyal Vivian Bewley and published by . This book was released on 1951 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to the Mathematical Theory of Waves by : Roger Knobel
Download or read book An Introduction to the Mathematical Theory of Waves written by Roger Knobel and published by American Mathematical Soc.. This book was released on 2000 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series.The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow. The intent of this book is to create a text suitable for independent study by undergraduate students in mathematics, engineering, and science. The content of the book is meant to be self-contained, requiring no special reference material. Access to computer software such as MathematicaR, MATLABR, or MapleR is recommended, but not necessary. Scripts for MATLAB applications will be available via the Web. Exercises are given within the text to allow further practice with selected topics.
Book Synopsis Traveling Wave Solutions of Parabolic Systems by : A. I. Volpert
Download or read book Traveling Wave Solutions of Parabolic Systems written by A. I. Volpert and published by American Mathematical Soc.. This book was released on with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of travelling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems, their existence, stability, and bifurcations. With introductory material accessible to non-mathematicians and a nearly complete bibliography of about 500 references, this book is an excellent resource on the subject.
Book Synopsis The Theory of Fault Travel Waves and Its Application by : Xinzhou Dong
Download or read book The Theory of Fault Travel Waves and Its Application written by Xinzhou Dong and published by Springer Nature. This book was released on 2022-03-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book starts from the existed problems in fault analysis of the lumped-parameter circuit model. It firstly introduces the basic electromagnetic phenomenon, uniform transmission line guided electromagnetic waves, multi-conductor system guided electromagnetic waves, fault generated travelling waves; then it introduces series of the traveling waves based protections, which includes principle, technology and application in practical power grid; it also discusses the travelling waves based fault location and the travelling waves based fault feeder selector in China. It systemically reveals the essential features of the fault traveling wave and concludes the analytical solutions of the transient fault traveling waves and the modulus maxima representation of the dyadic wavelet transform of fault traveling waves. Finally, the book analyzes the acquisition of traveling waves and the sensor’s characteristics. A unique fault travelling wave test device has been invented based on the theories of the book and will be applied in real systems.
Book Synopsis Traveling Wave Analysis of Partial Differential Equations by : Graham Griffiths
Download or read book Traveling Wave Analysis of Partial Differential Equations written by Graham Griffiths and published by Academic Press. This book was released on 2010-12-09 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods. This book surveys some of these new developments in analytical and numerical methods, and relates the two through a series of PDE examples. The PDEs that have been selected are largely "named'' since they carry the names of their original contributors. These names usually signify that the PDEs are widely recognized and used in many application areas. The authors’ intention is to provide a set of numerical and analytical methods based on the concept of a traveling wave, with a central feature of conversion of the PDEs to ODEs. The Matlab and Maple software will be available for download from this website shortly. www.pdecomp.net Includes a spectrum of applications in science, engineering, applied mathematics Presents a combination of numerical and analytical methods Provides transportable computer codes in Matlab and Maple
Book Synopsis Introduction to Hybrid Computer Studies of Traveling Waves on Transmission Lines by : Daniel Van Dommelen
Download or read book Introduction to Hybrid Computer Studies of Traveling Waves on Transmission Lines written by Daniel Van Dommelen and published by . This book was released on 1966 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Millimeter-Wave Gyrotron Traveling-Wave Tube Amplifiers by : Chao-Hai Du
Download or read book Millimeter-Wave Gyrotron Traveling-Wave Tube Amplifiers written by Chao-Hai Du and published by Springer. This book was released on 2014-05-29 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gyrotron traveling-wave amplifier (gyro-TWT) with the high-power and broad-band capabilities is considered as a turn-on key for next generation high-resolution radar. The book presents the most advanced theory, methods and physics in a gyro-TWT. The most challenging problem of instability competition has been for the first time addressed in a focused and systematic way and reported via concise states and vivid pictures. The book is likely to meet the interest of researchers and engineers in radar and microwave technology, who would like to study the gyro-TWTs and to promote its application in millimeter-wave radars. Chao-Hai Du and Pu-Kun Liu are both professors at Peking University.
Book Synopsis An Introduction to Electrooptic Devices by : Ivan P. Kaminow
Download or read book An Introduction to Electrooptic Devices written by Ivan P. Kaminow and published by Academic Press. This book was released on 2013-10-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Electrooptic Devices aims to present an introduction to the electrooptic effect and to summarize work on devices employing the electrooptic effect. The book provides the necessary background in classical crystal optics. The text then discusses topics including crystal symmetry, the tensor description of linear dielectric properties, propagation in anisotropic media, and passive crystal optic devices. The book also describes the phenomenological description of tensor nonlinear dielectric properties of crystals, with emphasis on the electrooptic effect; device design and application; and a listing of linear electrooptic coefficients for various substances. People involved in the study of electrooptic devices will find the text invaluable.
Book Synopsis Structure And Dynamics Of Nonlinear Waves In Fluids: Proceedings Of The Iutam/isimm Symposium by : Kirchgassner K
Download or read book Structure And Dynamics Of Nonlinear Waves In Fluids: Proceedings Of The Iutam/isimm Symposium written by Kirchgassner K and published by World Scientific. This book was released on 1995-08-31 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This symposium brought together mechanicians, physicists and applied mathematicians to discuss the interdisciplinary topic of nonlinear wave motion, which displays effects that give rise to a multitude of unanswered questions. Nonlinear waves in fluids in particular display all the prominent nonlinear phenomena such as chaos, turbulence and pattern formation. Amongst the topics emphasized in these proceedings are: travelling fronts, solitary waves and periodic waves (dissipative and conservative); temporal and spatial asymptotics of perturbations of waves; bifurcations, stability and local dynamics of waves; interaction between different waves, and between waves and the mean flow; wave breaking, nonlinear effects on focussing and diffraction; modulation and envelope equations (their derivation and validity); and numerical and experimental results.
Book Synopsis Nonlinear Water Waves by : David Henry
Download or read book Nonlinear Water Waves written by David Henry and published by Springer Nature. This book was released on 2019-11-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schrödinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.
Book Synopsis Recent Developments in Auditory Mechanics by : H Wada
Download or read book Recent Developments in Auditory Mechanics written by H Wada and published by World Scientific. This book was released on 2000-07-12 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are the results of discussions among biophysicists, neurobiologists and mathematicians with research interests in auditory mechanics and signal processing. The topics covered include: mechanics and models of hearing organs; auditory periphery and its models; middle ear; traveling wave and cochlear amplifier; emissions; outer hair cell; electromotility; central auditory processing; auditory nerve responses; and hearing in non-mammals. Contents:The Middle EarThe Cochlea (Measurement)The Cochlea (Model)The Outer Hair CellElectromotilityEmissionsAuditory Nerve ResponsesCentral Auditory ProcessingHearing in Non-Mammals Readership: Researchers and graduate students in ENT, neuroscience, biophysics and biomedical engineering. Keywords:
Book Synopsis An Analytic Theory Of Multi-stream Electron Beams In Traveling Wave Tubes by : Alexander Figotin
Download or read book An Analytic Theory Of Multi-stream Electron Beams In Traveling Wave Tubes written by Alexander Figotin and published by World Scientific. This book was released on 2020-10-29 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Traveling Wave Tubes (TWT) is a powerful vacuum electronic device used to amplify radio-frequency (RF) signals as well as numerous applications such as radar, television and telephone satellite communications. This monograph is devoted to the author's original theoretical developments in the theory of a traveling wave tube (TWT).Most of the monograph is the author's original work on an analytical theory of TWTs. It is a constructive Lagrangian field theory of TWT in which the electron beam (e-beam) is represented by one-dimensional multi-stream electron flow and the guiding slow-wave structure is represented by possibly non-uniform multi-transmission line (MTL). The proposed analytic theory accounts for a number of electron plasma phenomena including space-charge effects such as electron-to-electron repulsion (debunching), convective instabilities, wave-particle interaction, amplifying waves and more. It allows, in particular, to (i) identify origins of the wave-particle interaction and the system convective instability (exponential growth); (ii) evaluate the energy transfer rate from the e-beam to the electromagnetic radiation; (iii) identify instability modal branches which under condition of sufficiently strong coupling between the e-beam and the MTL can cover ideally all frequencies.
Book Synopsis Intracranial EEG by : Nikolai Axmacher
Download or read book Intracranial EEG written by Nikolai Axmacher and published by Springer Nature. This book was released on 2023-08-01 with total page 909 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers the first, comprehensive guide to planning and conducting intracranial EEG studies, and analyzing intracranial EEG data. The chapters address core questions in the field of intracranial EEG research. They are written by internationally recognized experts in the domain of intracranial EEG and acknowledge the heterogeneity of approaches in this field. The particular format of the book allows readers to find clear guidelines, hands-on expertise and invaluable background information for planning and conducting state-of-the-art intracranial EEG research projects. Besides offering a reference guide to newcomers in the field, it also provides scholarly information for the more experienced researcher and inspiration for the expert. The book covers a wide range of topics, with a special emphasis on aspects in which intracranial EEG data differ from other types of data in the cognitive neurosciences. It discusses typical patient characteristics and implantation schemes, ethical issues, and practical considerations for planning and running intracranial EEG experiments. It addresses signal characteristics and the physiological background of oscillatory and non-oscillatory aspects of intracranial EEG signals. It describes complex pre-processing steps such as advantages and disadvantages of different referencing schemes, and how to identify the location of electrodes. In addition, it answers specific questions on data processing, addressing core aspects of statistical analysis, and suggesting guidelines for data presentation. Further, it covers advanced topics such as causal interventions (i.e. deep brain stimulation), acquisition and analysis of single-unit data and multimodal recordings, and discusses important future challenges and opportunities in the field of intracranial EEG research.
Book Synopsis Fault Location on Power Networks by : Murari Mohan Saha
Download or read book Fault Location on Power Networks written by Murari Mohan Saha and published by Springer Science & Business Media. This book was released on 2009-11-25 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fault Location on Power Lines enables readers to pinpoint the location of a fault on power lines following a disturbance. The nine chapters are organised according to the design of different locators. The authors do not simply refer the reader to manufacturers’ documentation, but instead have compiled detailed information to allow for in-depth comparison. Fault Location on Power Lines describes basic algorithms used in fault locators, focusing on fault location on overhead transmission lines, but also covering fault location in distribution networks. An application of artificial intelligence in this field is also presented, to help the reader to understand all aspects of fault location on overhead lines, including both the design and application standpoints. Professional engineers, researchers, and postgraduate and undergraduate students will find Fault Location on Power Lines a valuable resource, which enables them to reproduce complete algorithms of digital fault locators in their basic forms.
