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Stationary Diffraction By Wedges
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Book Synopsis Stationary Diffraction by Wedges by : Alexander Komech
Download or read book Stationary Diffraction by Wedges written by Alexander Komech and published by Springer Nature. This book was released on 2019-09-16 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Diffraction by an Immersed Elastic Wedge by : Jean-Pierre Croisille
Download or read book Diffraction by an Immersed Elastic Wedge written by Jean-Pierre Croisille and published by Springer. This book was released on 2006-11-15 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence. The mathematical analysis is based on the explicit description of the principal symbol of the pseudo-differential operator connected with the coupled linear problem elasticity/fluid by the wedge interface. This description is subsequently used to derive an accurate numerical computation of diffraction diagrams for different incoming waves in the fluid, and for different wedge angles. The method can be applied to any problem of coupled waves by a wedge interface. This work is of interest for any researcher concerned with high frequency wave scattering, especially mathematicians, acousticians, engineers.
Book Synopsis Scattering and Diffraction by Wedges 2 by : Vito G. Daniele
Download or read book Scattering and Diffraction by Wedges 2 written by Vito G. Daniele and published by John Wiley & Sons. This book was released on 2020-10-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has a dual purpose. The first is to expose a general methodology to solve problems of electromagnetism in geometries constituted of angular regions. The second is to bring the solutions of some canonical problems of fundamental importance in modern electromagnetic engineering with the use of the Wiener-Hopf technique. In particular, the general mathematical methodology is very ingenious and original. It is based on sophisticated and attractive procedures exploiting simple and advanced properties of analytical functions. Once the reader has acquired the methodology, she/he can easily obtain the solution of the canonical problems reported in the book. The book can be appealing also to readers who are not directly interested in the detailed mathematical methodology and/ or in electromagnetics. In fact the same methodology can be extended to acoustics and elasticity problems. Moreover, the proposed practical problems with their solutions constitute a list of reference solutions and can be of interests in engineering production in the field of radio propagations, electromagnetic compatibility and radar technologies.
Book Synopsis Scattering and Diffraction by Wedges 1 by : Vito G. Daniele
Download or read book Scattering and Diffraction by Wedges 1 written by Vito G. Daniele and published by John Wiley & Sons. This book was released on 2020-09-07 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has a dual purpose. The first is to expose a general methodology to solve problems of electromagnetism in geometries constituted of angular regions. The second is to bring the solutions of some canonical problems of fundamental importance in modern electromagnetic engineering with the use of the Wiener-Hopf technique. In particular, the general mathematical methodology is very ingenious and original. It is based on sophisticated and attractive procedures exploiting simple and advanced properties of analytical functions. Once the reader has acquired the methodology, they can easily obtain the solution of the canonical problems reported in the book. The book can be appealing also to readers who are not directly interested in the detailed mathematical methodology and/ or in electromagnetics. In fact the same methodology can be extended to acoustics and elasticity problems. Moreover, the proposed practical problems with their solutions constitute a list of reference solutions and can be of interest in engineering production in the field of radio propagations, electromagnetic compatibility and radar technologies.
Book Synopsis Diffraction by an Immersed Elastic Wedge by : Jean-Pierre Croisille
Download or read book Diffraction by an Immersed Elastic Wedge written by Jean-Pierre Croisille and published by . This book was released on 2014-01-15 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Diffraction by Wedges by : Bair Budaev
Download or read book Diffraction by Wedges written by Bair Budaev and published by Longman Sc & Tech. This book was released on 1995-04-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 difficu
Book Synopsis Geometrical Theory of Diffraction by : Vladimir Andreevich Borovikov
Download or read book Geometrical Theory of Diffraction written by Vladimir Andreevich Borovikov and published by IET. This book was released on 1994 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the ideas underlying geometrical theory of diffraction (GTD) along with its relationships with other EM theories.
Book Synopsis Application of Wedge Diffraction to Antenna Theory by : R. C. Rudduck
Download or read book Application of Wedge Diffraction to Antenna Theory written by R. C. Rudduck and published by . This book was released on 1966 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamentals of the Physical Theory of Diffraction by : Pyotr Ya. Ufimtsev
Download or read book Fundamentals of the Physical Theory of Diffraction written by Pyotr Ya. Ufimtsev and published by John Wiley & Sons. This book was released on 2014-05-19 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a complete, comprehensive description of the modern Physical Theory of Diffraction (PTD) based upon the concept of elementary edge waves. The theory is demonstrated with examples of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects. Readers develop the skills to apply PTD to solve various scattering problems. The derived analytic expressions clearly illustrate the physical structure of the scattered field. They additionally describe all of the reflected and diffracted rays and beams, as well as the fields in the vicinity of caustics and foci. Shadow radiation, a fundamental component of PTD, is introduced and proven to contain half the total scattered power. The equivalence relationships between acoustic and electromagnetic diffracted waves are established and emphasized. Throughout the book, the author enables readers to master both the theory and its practical applications. Plotted numeric results supplement the theory and facilitate the visualization of individual contributions of distinct parts of the scattering objects to the total diffracted field Detailed comments help readers understand and implement all the critical steps of the analytic and numeric calculations Problem sets in each chapter give readers an opportunity to analyse and investigate the diffraction phenomena
Book Synopsis Advanced Theory of Diffraction by a Semi-infinite Impedance Cone by : J.M.L Bernard
Download or read book Advanced Theory of Diffraction by a Semi-infinite Impedance Cone written by J.M.L Bernard and published by ALPHA SCIENCE INTERNATIONAL LIMITED. This book was released on 2014-07-11 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical problem concerning the diffraction by a semi-infinite cone with circular cross section for the Helmholtz equation, which has well-known solutions for Dirichlet and Neumann boundary conditions, is here considered for the more general boundary condition of constant impedance type. As previously stated by D.S. Jones, the problem then changes in complexity, beginning with the difficulty of obtaining the uniqueness of the solution. An exact analytical method is developed to reduce this problem to the determination of the solution of a well-posed non-oscillatory integral equation, of which the solution can be directly used to express the field in an integral form. Some generalization, in particular to the electromagnetic case, are also given.
Book Synopsis Partial Differential Equations by : M. S. Agranovich
Download or read book Partial Differential Equations written by M. S. Agranovich and published by American Mathematical Soc.. This book was released on 2002 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Vishik's Partial Differential Equations seminar held at Moscow State University was one of the world's leading seminars in PDEs for over 40 years. This book celebrates Vishik's eightieth birthday. It comprises new results and survey papers written by many renowned specialists who actively participated over the years in Vishik's seminars. Contributions include original developments and methods in PDEs and related fields, such as mathematical physics, tomography, and symplecticgeometry. Papers discuss linear and nonlinear equations, particularly linear elliptic problems in angles and general unbounded domains, linear elliptic problems with a parameter for mixed order systems, infinite-dimensional Schrodinger equations, Navier-Stokes equations, and nonlinear Maxwellequations. The book ends on a historical note with a paper about Vishik's seminar as a whole and a list of selected talks given from 1964 through 1989. The book is suitable for graduate students and researchers in pure and applied mathematics and mathematical physics.
Book Synopsis Diffraction by Two Conducting Wedges by : Atef Zakaria Mostafa Elsherbeni
Download or read book Diffraction by Two Conducting Wedges written by Atef Zakaria Mostafa Elsherbeni and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Method of the Green's Function Applied to the Diffraction of Pulses by Wedges by : M. B. Friedman
Download or read book The Method of the Green's Function Applied to the Diffraction of Pulses by Wedges written by M. B. Friedman and published by . This book was released on 1956 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Method of the Generalised Eikonal by : Michael V. Vesnik
Download or read book The Method of the Generalised Eikonal written by Michael V. Vesnik and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-07-24 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffraction theory describes scattering mechanisms for waves of various physical nature, scattered by objects of different shapes and materials. This book proposes new methods to account for the contour shape, edge profile and boundary conditions of three-dimensional scatterers (in particularly, flat polygons and polyhedrals). A standard method to refine the physical optics approximation (PO) is the heuristic method of edge waves (MEW). In comparison with MEW, the presented approaches simplify the solving and refining the PO approximation without solving a corresponding two-dimensional problem. Furthermore these methods allow to take into account the field perturbation in the vicinity of vertices. While the analytical formulas obtained by using these new approaches are as simple as in the PO case, the accuracy can be even higher than for MEW. On the basis of the developed methods construction of solutions for wave propagation in urban area and elastic wave diffraction (including seismic waves) are proposed. The book is useful for specialists who solve scientific and engineering problems in wave propagation and for students and postgraduate students.
Book Synopsis Diffraction of Pulses by Conducting Wedges and Cones (Classic Reprint) by : William Sollfrey
Download or read book Diffraction of Pulses by Conducting Wedges and Cones (Classic Reprint) written by William Sollfrey and published by Forgotten Books. This book was released on 2018-02-07 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction of Pulses by Conducting Wedges and Cones 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.
Book Synopsis A Physical Theory of Diffraction for Impedance Wedges by :
Download or read book A Physical Theory of Diffraction for Impedance Wedges written by and published by . This book was released on 1981 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Index / Generalregister by : S. Flügge
Download or read book General Index / Generalregister written by S. Flügge and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: Das vielbändige Handbuch der Physik, herausgegeben von Siegfried Flügge, ist wesentlicher Bestand in jeder einschlägigen Bibliothek. Mit seinen herausragenden, teilweise epochemachenden Beiträgen, den umfassenden Überblicken und zahllosen Faktensammlungen stellt es weiterhin eine erstklassige Referenzquelle und ein unerschöpfliches Nachschlagewerk dar. Das nunmehr vorliegende, lange verlangte Generalregister vervollständigt das Handbuch und macht über gemeinsame Autoren- und Sachregister den Inhalt aller 54 Bände auf einfache Weise zugänglich. Damit gehört das Generalregister in die Bibliothek jedes Physikinstitutes als Orientierungshilfe und unentbehrliches Arbeitsmittel.
