DIFFRACTION OF WAVES BY A WEDGE PDF Download

Author: American University (Washington, D.C.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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Author: Horatio Scott Carslaw
Publisher:
ISBN:
Category :
Languages : en
Pages : 306

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Author: Jean-Pierre Croisille
Publisher: Springer
ISBN: 3540466983
Category : Mathematics
Languages : en
Pages : 138

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Book Description
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.

Author: R. C. Rudduck
Publisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 76

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Book Description

Author: Vito G. Daniele
Publisher: John Wiley & Sons
ISBN: 1119780055
Category : Science
Languages : en
Pages : 240

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Book Description
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.

Author: Vito G. Daniele
Publisher: John Wiley & Sons
ISBN: 111977943X
Category : Technology & Engineering
Languages : en
Pages : 240

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Book Description
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.

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

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Book Description
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: Russell I. Sherif
Publisher:
ISBN:
Category :
Languages : en
Pages : 530

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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: 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.