Mathematical Questions In The Theory Of Wave Diffraction
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Mathematical Questions In The Theory Of Wave Diffraction
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Author : V. M. Babich
language : en
Publisher: American Mathematical Soc.
Release Date : 1974
Mathematical Questions In The Theory Of Wave Diffraction written by V. M. Babich 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 1974 with Mathematics categories.
Papers and articles about wave diffraction and its algebraic applications.
Mathematical Questions In The Theory Of Wave Diffraction
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Author : V. M. Babich
language : en
Publisher:
Release Date : 1974
Mathematical Questions In The Theory Of Wave Diffraction written by V. M. Babich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Differential equations, Partial categories.
Wave Propagation And Diffraction
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Author : Igor T. Selezov
language : en
Publisher: Springer
Release Date : 2017-09-05
Wave Propagation And Diffraction written by Igor T. Selezov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with Science categories.
This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.
Short Wavelength Diffraction Theory
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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.
Mathematical Problems In Wave Propagation Theory
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Author : V. M. Babich
language : en
Publisher:
Release Date : 1970
Mathematical Problems In Wave Propagation Theory written by V. M. Babich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Wave-motion, Theory of categories.
Short Wavelength Diffraction Theory
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Author : Vasili M. Babic
language : en
Publisher: Springer
Release Date : 1991
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 1991 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.
Electromagnetic Wave Diffraction By Conducting Screens Pseudodifferential Operators In Diffraction Problems
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Author : Yu. G. Smirnov
language : en
Publisher: CRC Press
Release Date : 2022-03-23
Electromagnetic Wave Diffraction By Conducting Screens Pseudodifferential Operators In Diffraction Problems written by Yu. G. Smirnov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-23 with Science categories.
This book covers the latest problems of modern mathematical methods for three-dimensional problems of diffraction by arbitrary conducting screens. This comprehensive study provides an introduction to methods of constructing generalized solutions, elements of potential theory, and other underlying mathematical tools. The problem settings, which turn out to be extremely effective, differ significantly from the known approaches and are based on the original concept of vector spaces 'produced' by Maxwell equations. The formalism of pseudodifferential operators enables to prove uniqueness theorems and the Fredholm property for all problems studied. Readers will gain essential insight into the state-of-the-art technique of investigating three-dimensional problems for closed and unclosed screens based on systems of pseudodifferential equations. A detailed treatment of the properties of their kernels, in particular degenerated, is included. Special attention is given to the study of smoothness of generalized solutions and properties of traces.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1995
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Stationary Diffraction By Wedges
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Author : Alexander Komech
language : en
Publisher: Springer Nature
Release Date : 2019-09-16
Stationary Diffraction By Wedges written by Alexander Komech and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-16 with Mathematics categories.
This book presents a new and original method for the solution of boundary value problems in angles for second-order elliptic equations with constant coefficients and arbitrary boundary operators. This method turns out to be applicable to many different areas of mathematical physics, in particular to diffraction problems in angles and to the study of trapped modes on a sloping beach. Giving the reader the opportunity to master the techniques of the modern theory of diffraction, the book introduces methods of distributions, complex Fourier transforms, pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann–Hilbert problem. The book will be useful for students, postgraduates and specialists interested in the application of modern mathematics to wave propagation and diffraction problems.
Mathematical Problems In Wave Propagation Theory
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Author : V. M. Babich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Mathematical Problems In Wave Propagation Theory written by V. M. Babich 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 2013-11-11 with Science categories.
The papers comprising this collection are directly or indirectly related to an important branch of mathematical physics - the mathematical theory of wave propagation and diffraction. The paper by V. M. Babich is concerned with the application of the parabolic-equation method (of Academician V. A. Fok and M. A, Leontovich) to the problem of the asymptotic behavior of eigenfunc tions concentrated in a neighborhood of a closed geodesie in a Riemannian space. The techniques used in this paper have been föund useful in solving certain problems in the theory of open resonators. The topic of G. P. Astrakhantsev's paper is similar to that of the paper by V. M. Babich. Here also the parabolic-equation method is used to find the asymptotic solution of the elasticity equations which describes Love waves concentrated in a neighborhood of some surface ray. The paper of T. F. Pankratova is concerned with finding the asymptotic behavior of th~ eigenfunc tions of the Laplace operator from the exact solution for the surface of a triaxial ellipsoid and the re gion exterior to it. The first three papers of B. G. Nikolaev are somewhat apart from the central theme of the col lection; they treat the integral transforms with respect to associated Legendre functions of first kind and their applications. Examples of such applications are the use of this transform for the solution of integral equations with symmetrie kernels and for the solution of certain problems in the theory of electrical prospecting.