Transformation Wave Physics

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Transformation Wave Physics

Mohamed Farhat,Pai-Yen Chen,Sebastien Guenneau,Stefan Enoch
Transformation Wave Physics Book PDF

Author : Mohamed Farhat,Pai-Yen Chen,Sebastien Guenneau,Stefan Enoch
Publisher : CRC Press
Page : 474 pages
File Size : 40,7 Mb
Release : 2016-11-18
Category : Science
ISBN : 9781315341088

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Transformation Wave Physics by Mohamed Farhat,Pai-Yen Chen,Sebastien Guenneau,Stefan Enoch Pdf

Space–time transformations as a design tool for a new class of composite materials (metamaterials) have proved successful recently. The concept is based on the fact that metamaterials can mimic a transformed but empty space. Light rays follow trajectories according to Fermat’s principle in this transformed electromagnetic, acoustic, or elastic space instead of laboratory space. This allows one to manipulate wave behaviors with various exotic characteristics such as (but not limited to) invisibility cloaks. This book is a collection of works by leading international experts in the fields of electromagnetics, plasmonics, elastodynamics, and diffusion waves. The experimental and theoretical contributions will revolutionize ways to control the propagation of sound, light, and other waves in macroscopic and microscopic scales. The potential applications range from underwater camouflaging and electromagnetic invisibility to enhanced biosensors and protection from harmful physical waves (e.g., tsunamis and earthquakes). This is the first book that deals with transformation physics for all kinds of waves in one volume, covering the newest results from emerging topical subjects such as transformational plasmonics and thermodynamics.

Introduction to the Mathematical Physics of Nonlinear Waves

Minoru Fujimoto
Introduction to the Mathematical Physics of Nonlinear Waves Book PDF

Author : Minoru Fujimoto
Publisher : Morgan & Claypool Publishers
Page : 156 pages
File Size : 55,5 Mb
Release : 2014-03-01
Category : Science
ISBN : 9781627052764

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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

Oscillations and Waves

Fritz K. Kneubühl
Oscillations and Waves Book PDF

Author : Fritz K. Kneubühl
Publisher : Springer Science & Business Media
Page : 537 pages
File Size : 45,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662034682

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Oscillations and Waves by Fritz K. Kneubühl Pdf

This very comprehensive and practical textbook presents a clear, systematic and comprehensive introduction to the relevant mathematics and physics of linear and nonlinear oscillations and waves. It explains even the most complicated cases clearly, with numerous illustrations for further clarification.

Non-Linear Wave Propagation With Applications to Physics and Magnetohydrodynamics by A Jeffrey and T Taniuti

Anonim
Non Linear Wave Propagation With Applications to Physics and Magnetohydrodynamics by A Jeffrey and T Taniuti Book PDF

Author : Anonim
Publisher : Elsevier
Page : 322 pages
File Size : 54,8 Mb
Release : 2000-04-01
Category : Mathematics
ISBN : 0080957803

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Non-Linear Wave Propagation With Applications to Physics and Magnetohydrodynamics by A Jeffrey and T Taniuti by Anonim Pdf

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

University Physics

OpenStax
University Physics Book PDF

Author : OpenStax
Publisher : Unknown
Page : 622 pages
File Size : 54,8 Mb
Release : 2016-11-04
Category : Science
ISBN : 1680920456

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University Physics by OpenStax Pdf

University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.

Rogue Waves

Boling Guo,Lixin Tian,Zhenya Yan,Liming Ling,Yu-Feng Wang
Rogue Waves Book PDF

Author : Boling Guo,Lixin Tian,Zhenya Yan,Liming Ling,Yu-Feng Wang
Publisher : Walter de Gruyter GmbH & Co KG
Page : 211 pages
File Size : 52,8 Mb
Release : 2017-06-26
Category : Mathematics
ISBN : 9783110470574

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Rogue Waves by Boling Guo,Lixin Tian,Zhenya Yan,Liming Ling,Yu-Feng Wang Pdf

This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering. Contents The Research Process for Rogue Waves Construction of Rogue Wave Solution by the Generalized Darboux Transformation Construction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering Method The Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model

Transformation Electromagnetics and Metamaterials

Douglas H. Werner,Do-Hoon Kwon
Transformation Electromagnetics and Metamaterials Book PDF

Author : Douglas H. Werner,Do-Hoon Kwon
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 41,8 Mb
Release : 2013-07-19
Category : Technology & Engineering
ISBN : 9781447149965

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Transformation Electromagnetics and Metamaterials by Douglas H. Werner,Do-Hoon Kwon Pdf

Transformation electromagnetics is a systematic design technique for optical and electromagnetic devices that enables novel wave-material interaction properties. The associated metamaterials technology for designing and realizing optical and electromagnetic devices can control the behavior of light and electromagnetic waves in ways that have not been conventionally possible. The technique is credited with numerous novel device designs, most notably the invisibility cloaks, perfect lenses and a host of other remarkable devices. Transformation Electromagnetics and Metamaterials: Fundamental Principles and Applications presents a comprehensive treatment of the rapidly growing area of transformation electromagnetics and related metamaterial technology with contributions on the subject provided by a collection of leading experts from around the world. On the theoretical side, the following questions will be addressed: “Where does transformation electromagnetics come from?,” “What are the general material properties for different classes of coordinate transformations?,” “What are the limitations and challenges of device realizations?,” and “What theoretical tools are available to make the coordinate transformation-based designs more amenable to fabrication using currently available techniques?” The comprehensive theoretical treatment will be complemented by device designs and/or realizations in various frequency regimes and applications including acoustic, radio frequency, terahertz, infrared, and the visible spectrum. The applications encompass invisibility cloaks, gradient-index lenses in the microwave and optical regimes, negative-index superlenses for sub-wavelength resolution focusing, flat lenses that produce highly collimated beams from an embedded antenna or optical source, beam concentrators, polarization rotators and splitters, perfect electromagnetic absorbers, and many others. This book will serve as the authoritative reference for students and researchers alike to the fast-evolving and exciting research area of transformation electromagnetics/optics, its application to the design of revolutionary new devices, and their associated metamaterial realizations.

Wave Scattering Theory

Hyo J. Eom
Wave Scattering Theory Book PDF

Author : Hyo J. Eom
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642594878

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Wave Scattering Theory by Hyo J. Eom Pdf

The Fourier transform technique has been widely used in electrical engineer ing, which covers signal processing, communication, system control, electro magnetics, and optics. The Fourier transform-technique is particularly useful in electromagnetics and optics since it provides a convenient mathematical representation for wave scattering, diffraction, and propagation. Thus the Fourier transform technique has been long applied to the wave scattering problems that are often encountered in microwave antenna, radiation, diffrac tion, and electromagnetic interference. In order to u~derstand wave scattering in general, it is necessary to solve the wave equation subject to the prescribed boundary conditions. The purpose of this monograph is to present rigorous so lutions to the boundary-value problems by solving the wave equation based on the Fourier transform. In this monograph the technique of separation of vari ables is used to solve the wave equation for canonical scattering geometries such as conducting waveguide structures and rectangular/circular apertures. The Fourier transform, mode-matching, and residue calculus techniques are applied to obtain simple, analytic, and rapidly-convergent series solutions. The residue calculus technique is particularly instrumental in converting the solutions into series representations that are efficient and amenable to nu merical analysis. We next summarize the steps of analysis method for the scattering problems considered in this book. 1. Divide the scattering domain into closed and open regions. 2. Represent the scattered fields in the closed and open regions in terms of the Fourier series and transform, respectively. 3.

Mechanics, Waves, and Thermal Physics

Robin L. Armstrong,James Douglas King
Mechanics Waves and Thermal Physics Book PDF

Author : Robin L. Armstrong,James Douglas King
Publisher : Prentice Hall
Page : 586 pages
File Size : 50,5 Mb
Release : 1970
Category : Science
ISBN : UOM:39015004524255

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Mechanics, Waves, and Thermal Physics by Robin L. Armstrong,James Douglas King Pdf

For a first-year university course.

Physics of Oscillations and Waves

Arnt Inge Vistnes
Physics of Oscillations and Waves Book PDF

Author : Arnt Inge Vistnes
Publisher : Springer
Page : 576 pages
File Size : 54,9 Mb
Release : 2018-08-21
Category : Science
ISBN : 9783319723143

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Physics of Oscillations and Waves by Arnt Inge Vistnes Pdf

In this textbook a combination of standard mathematics and modern numerical methods is used to describe a wide range of natural wave phenomena, such as sound, light and water waves, particularly in specific popular contexts, e.g. colors or the acoustics of musical instruments. It introduces the reader to the basic physical principles that allow the description of the oscillatory motion of matter and classical fields, as well as resulting concepts including interference, diffraction, and coherence. Numerical methods offer new scientific insights and make it possible to handle interesting cases that can’t readily be addressed using analytical mathematics; this holds true not only for problem solving but also for the description of phenomena. Essential physical parameters are brought more into focus, rather than concentrating on the details of which mathematical trick should be used to obtain a certain solution. Readers will learn how time-resolved frequency analysis offers a deeper understanding of the interplay between frequency and time, which is relevant to many phenomena involving oscillations and waves. Attention is also drawn to common misconceptions resulting from uncritical use of the Fourier transform. The book offers an ideal guide for upper-level undergraduate physics students and will also benefit physics instructors. Program codes in Matlab and Python, together with interesting files for use in the problems, are provided as free supplementary material.

Wave Propagation in Electromagnetic Media

Julian L. Davis
Wave Propagation in Electromagnetic Media Book PDF

Author : Julian L. Davis
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461232841

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Wave Propagation in Electromagnetic Media by Julian L. Davis Pdf

This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro magnetic materials. Since these volumes were designed to be relatively self contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli cations to electromagnetic wave propagation under a variety of conditions.

Physics of Continuous Media

Grigory Vekstein
Physics of Continuous Media Book PDF

Author : Grigory Vekstein
Publisher : CRC Press
Page : 208 pages
File Size : 51,7 Mb
Release : 1992-01-01
Category : Science
ISBN : 0750301414

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Physics of Continuous Media by Grigory Vekstein Pdf

Physics of Continuous Media: A Collection of Problems with Solutions for Physics Students contains a set of problems with detailed and rigorous solutions. Aimed at undergraduate and postgraduate students in physics and applied mathematics, the book is a complementary text for standard courses on the physics of continuous media. With its assortment of standard problems for beginners, variations on a theme, and original problems based on new trends and theories in the physics under investigation, this book aids in the understanding of practical aspects of the subject. Topics discussed include vectors, tensors, and Fourier transformations; dielectric waves in media; natural optical activity; Cherenkov radiation; nonlinear interaction of waves; dynamics of ideal fluids and the motion of viscous fluids; convection; turbulence and acoustic and shock waves; the theory of elasticity; and the mechanics of liquid crystals.

Transformation Groups Applied to Mathematical Physics

Nail H. Ibragimov
Transformation Groups Applied to Mathematical Physics Book PDF

Author : Nail H. Ibragimov
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 55,7 Mb
Release : 2001-11-30
Category : Science
ISBN : 1402003390

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Transformation Groups Applied to Mathematical Physics by Nail H. Ibragimov Pdf

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G.K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R.van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in - gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in pack ing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Dynamic Fields and Waves

A Norton
Dynamic Fields and Waves Book PDF

Author : A Norton
Publisher : CRC Press
Page : 284 pages
File Size : 55,8 Mb
Release : 2000-01-01
Category : Science
ISBN : 0750307196

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Dynamic Fields and Waves by A Norton Pdf

Dynamic Fields and Waves concentrates on electric and magnetic fields that vary with time, including light and electromagnetic waves. Written for an undergraduate introductory course but equally suitable for self-study, this practical, illustrated book discusses waves in general and light waves in particular, together with optical instruments, such as telescopes and microscopes, and electrical devices, such as generators and transformers. It also explores Einstein's special theory of relativity, which gives the most basic insight into space and time.

Waves in Flows

Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
Waves in Flows Book PDF

Author : Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
Publisher : Springer Nature
Page : 362 pages
File Size : 52,9 Mb
Release : 2021-04-29
Category : Mathematics
ISBN : 9783030678456

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Waves in Flows by Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová Pdf

This volume offers an overview of the area of waves in fluids and the role they play in the mathematical analysis and numerical simulation of fluid flows. Based on lectures given at the summer school “Waves in Flows”, held in Prague from August 27-31, 2018, chapters are written by renowned experts in their respective fields. Featuring an accessible and flexible presentation, readers will be motivated to broaden their perspectives on the interconnectedness of mathematics and physics. A wide range of topics are presented, working from mathematical modelling to environmental, biomedical, and industrial applications. Specific topics covered include: Equatorial wave–current interactions Water–wave problems Gravity wave propagation Flow–acoustic interactions Waves in Flows will appeal to graduate students and researchers in both mathematics and physics. Because of the applications presented, it will also be of interest to engineers working on environmental and industrial issues.