Diffraction By Wedges
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Diffraction By Wedges
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Author : Bair V Budaev
language : en
Publisher: CRC Press
Release Date : 1995-03-20
Diffraction By Wedges written by Bair V Budaev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-20 with Mathematics categories.
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.
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.
Scattering And Diffraction By Wedges 1
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Author : Vito G. Daniele
language : en
Publisher: John Wiley & Sons
Release Date : 2020-09-21
Scattering And Diffraction By Wedges 1 written by Vito G. Daniele and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-21 with Science categories.
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.
Scattering And Diffraction By Wedges 2
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Author : Vito G. Daniele
language : en
Publisher: John Wiley & Sons
Release Date : 2020-10-09
Scattering And Diffraction By Wedges 2 written by Vito G. Daniele and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-09 with Technology & Engineering categories.
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.
Geometrical Theory Of Diffraction For Electromagnetic Waves
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Author : Graeme L. James
language : en
Publisher: IET
Release Date : 1986
Geometrical Theory Of Diffraction For Electromagnetic Waves written by Graeme L. James and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Science categories.
The purpose of the book, apart from expounding the Geometrical Theory of Diffraction (GTD) method, is to present useful formulations that can be readily applied to solve practical engineering problems.
Diffraction By An Immersed Elastic Wedge
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Author : Jean-Pierre Croisille
language : en
Publisher: Springer
Release Date : 2006-11-15
Diffraction By An Immersed Elastic Wedge written by Jean-Pierre Croisille and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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.
Electromagnetic Diffraction Modeling And Simulation With Matlab
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Author : Gökhan Apaydin
language : en
Publisher: Artech House
Release Date : 2021-02-28
Electromagnetic Diffraction Modeling And Simulation With Matlab written by Gökhan Apaydin and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-28 with Science categories.
This exciting new resource presents a comprehensive introduction to the fundamentals of diffraction of two-dimensional canonical structures, including wedge, strip, and triangular cylinder with different boundary conditions. Maxwell equations are discussed, along with wave equation and scattered, diffracted and fringe fields. Geometric optics, as well as the geometric theory of diffraction are explained. With MATLAB scripts included for several well-known electromagnetic diffraction problems, this book discusses diffraction fundamentals of two-dimensional structures with different boundary conditions and analytical numerical methods that are used to show diffraction. The book introduces fundamental concepts of electromagnetic problems, identities, and definitions for diffraction modeling. Basic coordinate systems, boundary conditions, wave equation, and Green’s function problem are given. The scattered fields, diffracted fields, and fringe fields, radar cross section for diffraction modeling are presented. Behaviors of electromagnetic waves around the two-dimensional canonical wedge and canonical strip are also explored. Diffraction of trilateral cylinders and wedges with rounded edges is investigated as well as double tip diffraction using Finite Difference Time Domain and Method of Moments. A MATLAB based virtual tool, developed with graphical user interface (GUI), for the visualization of both fringe currents and fringe waves is included, using numerical FDTD and MoM algorithm and High-Frequency Asymptotics approaches.
Application Of Wedge Diffraction To Antenna Theory
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Author : R. C. Rudduck
language : en
Publisher:
Release Date : 1966
Application Of Wedge Diffraction To Antenna Theory written by R. C. Rudduck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Diffraction categories.
Classical And Modern Diffraction Theory
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Author : Kamill Klem-Musatov
language : en
Publisher: SEG Books
Release Date : 2016-06-30
Classical And Modern Diffraction Theory written by Kamill Klem-Musatov and has been published by SEG Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-30 with Science categories.
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.
Advanced Theory Of Diffraction By A Semi Infinite Impedance Cone
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Author : J.M.L Bernard
language : en
Publisher: ALPHA SCIENCE INTERNATIONAL LIMITED
Release Date : 2014-07-11
Advanced Theory Of Diffraction By A Semi Infinite Impedance Cone written by J.M.L Bernard and has been published by ALPHA SCIENCE INTERNATIONAL LIMITED this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-11 with Mathematics categories.
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.