Asymptotic Wave Theory

DOWNLOAD

Download Asymptotic Wave Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Asymptotic Wave Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Asymptotic Wave Theory

DOWNLOAD
Author : Maurice Roseau
language : en
Publisher: North Holland
Release Date : 1976-01-01

Asymptotic Wave Theory written by Maurice Roseau and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Mathematics categories.

Asymptotic Wave Theory investigates the asymptotic behavior of wave representations and presents some typical results borrowed from hydrodynamics and elasticity theory. It describes techniques such as Fourier-Laplace transforms, operational calculus, special functions, and asymptotic methods. It also discusses applications to the wave equation, the elements of scattering matrix theory, problems related to the wave equation, and diffraction. Organized into eight chapters, this volume begins with an overview of the Fourier-Laplace integral, the Mellin transform, and special functions such as the gamma function and the Bessel functions. It then considers wave propagation, with emphasis on representations of plane, cylindrical or spherical waves. It methodically introduces the reader to the reflexion and refraction of a plane wave at the interface between two homogeneous media, the asymptotic expansion of Hankel's functions in the neighborhood of the point at infinity, and the asymptotic behavior of the Laplace transform. The book also examines the method of steepest descent, the asymptotic representation of Hankel's function of large order, and the scattering matrix theory. The remaining chapters focus on problems of flow in open channels, the propagation of elastic waves within a layered spherical body, and some problems in water wave theory. This book is a valuable resource for mechanics and students of applied mathematics and mechanics.

Asymptotic Wave Theory

DOWNLOAD
Author : Maurice Roseau
language : en
Publisher: Elsevier
Release Date : 2012-12-02

Asymptotic Wave Theory written by Maurice Roseau and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.

Asymptotic Wave Theory investigates the asymptotic behavior of wave representations and presents some typical results borrowed from hydrodynamics and elasticity theory. It describes techniques such as Fourier-Laplace transforms, operational calculus, special functions, and asymptotic methods. It also discusses applications to the wave equation, the elements of scattering matrix theory, problems related to the wave equation, and diffraction. Organized into eight chapters, this volume begins with an overview of the Fourier-Laplace integral, the Mellin transform, and special functions such as the gamma function and the Bessel functions. It then considers wave propagation, with emphasis on representations of plane, cylindrical or spherical waves. It methodically introduces the reader to the reflexion and refraction of a plane wave at the interface between two homogeneous media, the asymptotic expansion of Hankel's functions in the neighborhood of the point at infinity, and the asymptotic behavior of the Laplace transform. The book also examines the method of steepest descent, the asymptotic representation of Hankel's function of large order, and the scattering matrix theory. The remaining chapters focus on problems of flow in open channels, the propagation of elastic waves within a layered spherical body, and some problems in water wave theory. This book is a valuable resource for mechanics and students of applied mathematics and mechanics.

Wave Asymptotics

DOWNLOAD
Author : P. A. Martin
language : en
Publisher: Cambridge University Press
Release Date : 1992-05-29

Wave Asymptotics written by P. A. Martin 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 1992-05-29 with Mathematics categories.

This volume contains papers by distinguished researchers in fluid mechanics and asymptotics. The papers collected here outline the development of these topics.

Asymptotic Methods In Nonlinear Wave Theory

DOWNLOAD
Author : Alan Jeffrey
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1982

Asymptotic Methods In Nonlinear Wave Theory written by Alan Jeffrey and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Science categories.

Short Wavelength Diffraction Theory

DOWNLOAD
Author : Vasili M. Babic
language : en
Publisher: Springer
Release Date : 2011-12-08

Short Wavelength Diffraction Theory written by Vasili M. Babic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-08 with Science categories.

In the study of short-wave diffraction problems, asymptotic methods - the ray method, the parabolic equation method, and its further development as the "etalon" (model) problem method - play an important role. These are the meth ods to be treated in this book. The applications of asymptotic methods in the theory of wave phenomena are still far from being exhausted, and we hope that the techniques set forth here will help in solving a number of problems of interest in acoustics, geophysics, the physics of electromagnetic waves, and perhaps in quantum mechanics. In addition, the book may be of use to the mathematician interested in contemporary problems of mathematical physics. Each chapter has been annotated. These notes give a brief history of the problem and cite references dealing with the content of that particular chapter. The main text mentions only those pUblications that explain a given argument or a specific calculation. In an effort to save work for the reader who is interested in only some of the problems considered in this book, we have included a flow chart indicating the interdependence of chapters and sections.

The Water Waves Problem

DOWNLOAD
Author : David Lannes
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-05-08

The Water Waves Problem written by David Lannes and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-08 with Mathematics categories.

This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.

Electromagnetic Wave Theory

DOWNLOAD
Author : J. C. Brown
language : en
Publisher: Elsevier
Release Date : 2016-01-21

Electromagnetic Wave Theory written by J. C. Brown and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-21 with Science categories.

International Series of Monographs in Electromagnetic Waves, Volume 11: Electromagnetic Wave Theory, Part 1 covers the proceedings of an International Scientific Radio Union (U.R.S.I.) Symposium on Electromagnetic Wave Theory. The book contains 61 chapters that are organized into three sections. The first section presents papers about wave propagation, which includes lateral waves; terrestrial waveguides; and plane waves in dissipative media. Next, the title reviews studies about wave guides, including basic properties of periodic waveguides; theoretical investigation of non-uniform waveguides; and waves in a coaxial line partially filled with plasma. The last section covers topics about surface waves, such as a dielectric prism in the corner of overmoded waveguide; lasers and optical communication systems; and microwave and laser resonators. The text will be of great use to researchers and practitioners of disciplines that study or utilize electromagnetic wave technologies, such as electrotechnics and electrical engineering.

Asymptotic Methods For Wave And Quantum Problems

DOWNLOAD
Author : M. V. Karasev
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Asymptotic Methods For Wave And Quantum Problems written by M. V. Karasev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems. In the introductory paper ``Quantization and Intrinsic Dynamics'' a relationship between quantization of symplectic manifolds and nonlinear wave equations is described and discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method. It also explains a hidden dynamic geometry that arises when using these methods. Three other papers discuss applications of asymptotic methods to the construction of wave-type solutions of nonlinear PDE's, to the theory of semiclassical approximation (in particular, the Whitham method) for nonlinear second-order ordinary differential equations, and to the study of the Schrodinger type equations whose potential wells are sufficiently shallow that the discrete spectrum contains precisely one point. All the papers contain detailed references and are oriented not only to specialists in asymptotic methods, but also to a wider audience of researchers and graduate students working in partial differential equations and mathematical physics.

Ship Hydrodynamics Water Waves And Asymptotics

DOWNLOAD
Author : Fritz Ursell
language : en
Publisher: World Scientific
Release Date : 1994

Ship Hydrodynamics Water Waves And Asymptotics written by Fritz Ursell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Differential equations, Linear categories.

Important Developments In Soliton Theory

DOWNLOAD
Author : A.S. Fokas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Important Developments In Soliton Theory written by A.S. Fokas 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.

In the last ten to fifteen years there have been many important developments in the theory of integrable equations. This period is marked in particular by the strong impact of soliton theory in many diverse areas of mathematics and physics; for example, algebraic geometry (the solution of the Schottky problem), group theory (the discovery of quantum groups), topology (the connection of Jones polynomials with integrable models), and quantum gravity (the connection of the KdV with matrix models). This is the first book to present a comprehensive overview of these developments. Numbered among the authors are many of the most prominent researchers in the field.