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Author: Vasili M. Babic
Publisher: Springer
ISBN: 9783642834615
Category : Science
Languages : en
Pages : 0
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Book Description
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.
Author: Vasili M. Babic
Publisher: Springer
ISBN: 9783642834615
Category : Science
Languages : en
Pages : 0
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Book Description
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.
Author: Vasili M. Babic
Publisher: Springer
ISBN: 9783642834592
Category : Science
Languages : en
Pages : 0
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Book Description
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.
Author: V. M. Babich
Publisher: Alpha Science International, Limited
ISBN: 9781842652329
Category : Asymptotic expansions
Languages : en
Pages : 0
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Book Description
Dedicated to modern approaches of a high-frequency technique in diffraction theory, Asymptotic Methods in Short-Wavelength Diffraction Theory outlines a variety of crucial topics. The book considers a multitude of matters, ranging from the ray method to the theory of high-frequency whispering-gallery waves alongside the reviewing and reflecting on recent results from the literature dealing with localized asymptotic solutions and uniform representation of a high-frequency wave-field. The book serves as an exclusive address to experts on electromagnetics, seismology and acoustics as well as to mathematicians interested in modern approaches of mathematical physics.
Author: Mezhlum A. Sumbatyan
Publisher: CRC Press
ISBN: 0203643488
Category : Science
Languages : en
Pages : 307
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Book Description
Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case. Clearly demonstrating the close connection between heuristic and rigorous methods in mathematical diffraction theory, this valuable book provides you with the differential and integral equations that can easily be used in practical applications.
Author: Nelson A. Logan
Publisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 126
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Book Description
Author: Kamill Klem-Musatov
Publisher: SEG Books
ISBN: 1560803223
Category : Science
Languages : en
Pages : 341
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Book Description
Providing geophysicists with an in-depth understanding of the theoretical and applied background for the seismic diffraction method, “Classical and Modern Diffraction Theory” covers the history and foundations of the classical theory and the key elements of the modern diffraction theory. Chapters include an overview and a historical review of classical theory, a summary of the experimental results illustrating this theory, and key principles of the modern theory of diffraction; the early cornerstones of classical diffraction theory, starting from its inception in the 17th century and an extensive introduction to reprinted works of Grimaldi, Huygens, and Young; details of the classical theory of diffractions as developed in the 19th century and reprinted works of Fresnel, Green, Helmholtz, Kirchhoff, and Rayleigh; and the cornerstones of the modern theory including Keller’s geometrical theory of diffraction, boundary-layer theory, and super-resolution. Appendices on the Cornu spiral and Babinet’s principle are also included.
Author: Pyotr Ya. Ufimtsev
Publisher: John Wiley & Sons
ISBN: 0470109009
Category : Science
Languages : en
Pages : 349
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Book Description
This book is the first complete and comprehensive description of the modern Physical Theory of Diffraction (PTD) based on the concept of elementary edge waves (EEWs). The theory is demonstrated with the example of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects. The derived analytic expressions clearly explain the physical structure of the scattered field and describe in detail all of the reflected and diffracted rays and beams, as well as the fields in the vicinity of caustics and foci. Shadow radiation, a new fundamental component of the field, is introduced and proven to contain half of the total scattered power.
Author: C. J. Ball
Publisher: Elsevier
ISBN: 1483181421
Category : Science
Languages : en
Pages : 143
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Book Description
An Introduction to the Theory of Diffraction presents the fundamentals of diffraction theory. This book discusses other topics, such as absorption in cylindrical or slab-shaped specimens, which do not closely involve the fundamentals of diffraction. Organized into seven chapters, this book begins with an overview of the fundamentals of wave motion and a short account of the interaction of atoms with X-ray, electrons, and neutrons. This text then examines the differences between atomic scattering factors for the various radiations. Other chapters consider a number of problems in which the distribution of scattering sources is either one-dimensional in nature or can be reduced to one dimension. This book discusses as well the principle of superposition, which ensures that Fourier analysis has an application to diffraction theory. The final chapter deals with the importance of reciprocal lattice on the relation it bears to the crystal lattice. This book is a valuable resource for metallurgists.
Author: Vladimir Andreevich Borovikov
Publisher: IET
ISBN: 9780852968307
Category : Mathematics
Languages : en
Pages : 408
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Book Description
This book details the ideas underlying geometrical theory of diffraction (GTD) along with its relationships with other EM theories.
Author: Soonsung Hong
Publisher:
ISBN:
Category :
Languages : en
Pages : 48
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Book Description
