Diffraction of Pulses by Wedges and Corners PDF Download

Author: Albert A. Blank
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 20

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Author: Albert Abraham Blank
Publisher:
ISBN:
Category :
Languages : en
Pages : 94

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Author: Bair V Budaev
Publisher: CRC Press
ISBN: 9780582103108
Category : Mathematics
Languages : en
Pages : 158

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Book Description
The problem of wave diffraction by wedge-shaped structures is important in many applications, including electromagnetics, acoustics and geophysics. Numerous attempts to solve these problems have been made during the last 70 years using both analytical and numerical methods, but this has proved to be very difficult; only a few of the simplest problems of this type have been successfully solved. The difficulties are caused by the nonseparability of variables and the singular behaviour of solutions near the vertex. This Research Note presents a systematic approach allowing the consideration of arbitrary problems of this type and the development of stable numerical algorithms for their solution.

Author: Alexander Komech
Publisher: Springer Nature
ISBN: 3030266990
Category : Mathematics
Languages : en
Pages : 167

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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.

Author: W. Sollfrey
Publisher: Franklin Classics Trade Press
ISBN: 9780353299511
Category : History
Languages : en
Pages : 34

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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author: M. B. Friedman
Publisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 52

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Author: William Sollfrey
Publisher:
ISBN: 9781332953318
Category : Mathematics
Languages : en
Pages : 40

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Book Description
Excerpt from Diffraction of Pulses by Conducting Wedges and Cones The inverse procedure, whereby the classical harmonic solution for a wedge is obtained from the pulse solution, is given for the wedge by Keller and Blank. In Section II the method is applied to a conducting wedge, and the keller-blank solution is obtained. In Section III the cone problem is treated. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author: Irvin William Kay
Publisher:
ISBN:
Category : Electric waves
Languages : en
Pages : 24

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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: Allan D. Pierce
Publisher: Academic Press
ISBN: 1483257703
Category : Science
Languages : en
Pages : 340

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Book Description
High Frequency and Pulse Scattering investigates high frequency and pulse scattering, with emphasis on the phenomenon of echoes from objects. Geometrical and catastrophe optics methods in scattering are discussed, along with the scattering of sound pulses and the ringing of target resonances. Caustics and associated diffraction catastrophes are also examined. Comprised of two chapters, this volume begins with a detailed account of geometrically based approximation methods in scattering theory, focusing on waves transmitted through fluid and elastic scatterers and glory scattering; surface ray representations of scattering by shells and other smooth objects; and caustics and associated diffraction catastrophes. The second chapter deals with the relation between sound pulses and the vibrational spectra of elastic submerged objects. The theory of the scattering of sound pulses from elastic and impenetrable objects is described, together with the theory of surface wave pulses. Target resonances and the singularity expansion method are also analyzed. This book will be of interest to physicists.