Problems Of High Frequency Diffraction By Elongated Bodies
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Problems Of High Frequency Diffraction By Elongated Bodies
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Author : Ivan Andronov
language : en
Publisher: Springer Nature
Release Date : 2023-04-14
Problems Of High Frequency Diffraction By Elongated Bodies written by Ivan Andronov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-14 with Science categories.
Classical asymptotic expansions, while producing a good approximation for the diffracted fields in general, appear hardly applicable in the case of extremely elongated bodies. Thus, there are problems that are on the one hand too difficult for numerical solvers due to large system size, and on the other hand make the description with classical asymptotic methods hard. The book explains why this happens and suggests the way out. By defining the characteristics of a strongly elongated body it introduces a special class of asymptotic approximations, which are in some sense uniform with respect to the rate of body elongation. Chapter 1 briefly describes the results of V. A. Fock and further developments of his approach towards the problems of diffraction by elongated obstacles. It formulates the cases of moderately and strongly elongated bodies. The rest of the book describes the approach of special parabolic equations, which lead to new asymptotic approximations for the diffracted fields. Chapters 2, 3 and 4 discuss diffraction by bodies of elliptical shape: The elliptic cylinder with a strongly elongated cross section and prolate spheroid with a high aspect ratio. Chapter 5 generalizes the approach to some other shapes such as narrow cones and narrow hyperboloids. Mathematical formulas for the Whittaker functions widely used in the book are collected in the Appendix. The concise derivations are supplied with numerous test examples that compare asymptotic approximations with numerically computed fields and clarify the specifics of high frequency diffraction by strongly elongated bodies. The reference solutions presented in the book enable one to validate the newly developed numerical solvers.
Problems Of High Frequency Diffraction By Elongated Bodies
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Author : Ivan Andronov
language : en
Publisher:
Release Date : 2023
Problems Of High Frequency Diffraction By Elongated Bodies written by Ivan Andronov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
Classical asymptotic expansions, while producing a good approximation for the diffracted fields in general, appear hardly applicable in the case of extremely elongated bodies. Thus, there are problems that are on the one hand too difficult for numerical solvers due to large system size, and on the other hand make the description with classical asymptotic methods hard. The book explains why this happens and suggests the way out. By defining the characteristics of a strongly elongated body it introduces a special class of asymptotic approximations, which are in some sense uniform with respect to the rate of body elongation. Chapter 1 briefly describes the results of V. A. Fock and further developments of his approach towards the problems of diffraction by elongated obstacles. It formulates the cases of moderately and strongly elongated bodies. The rest of the book describes the approach of special parabolic equations, which lead to new asymptotic approximations for the diffracted fields. Chapters 2, 3 and 4 discuss diffraction by bodies of elliptical shape: The elliptic cylinder with a strongly elongated cross section and prolate spheroid with a high aspect ratio. Chapter 5 generalizes the approach to some other shapes such as narrow cones and narrow hyperboloids. Mathematical formulas for the Whittaker functions widely used in the book are collected in the Appendix. The concise derivations are supplied with numerous test examples that compare asymptotic approximations with numerically computed fields and clarify the specifics of high frequency diffraction by strongly elongated bodies. The reference solutions presented in the book enable one to validate the newly developed numerical solvers.
Asymptotic And Hybrid Methods In Electromagnetics
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Author : I. Andronov
language : en
Publisher: IET
Release Date : 2005-07-18
Asymptotic And Hybrid Methods In Electromagnetics written by I. Andronov and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-18 with Science categories.
Asymptotic methods provide considerable physical insight and understanding of diffraction mechanisms and are very useful in the design of electromagnetic devices such as radar targets and antennas. However, difficulties can arise when trying to solve problems using multipole and asymoptotic methods together, such as in radar crosssection objects. This new book offers a solution to this problem by combining these approaches into hybrid methods, therefore creating high demand for both understanding and learning how to apply asymptotic and hybrid methods to solve diffraction problems.
Low And High Frequency Asymptotics
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Author : V.K. Varadan
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Low And High Frequency Asymptotics written by V.K. Varadan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.
This volume focuses on asymptotic methods in the low and high frequency limits for the solution of scattering and propagation problems. Each chapter is pedagogical in nature, starting with the basic foundations and ending with practical applications. For example, using the Geometrical Theory of Diffraction, the canonical problem of edge diffraction is first solved and then used in solving the problem of diffraction by a finite crack. In recent times, the crack problem has been of much interest for its applications to Non-Destructive Evaluation (NDE) of flaws in structural materials.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1984
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Aeronautics categories.
Issues In Applied Physics 2013 Edition
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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2013-05-01
Issues In Applied Physics 2013 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-01 with Science categories.
Issues in Applied Physics / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Medical Physics. The editors have built Issues in Applied Physics: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Medical Physics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Applied Physics / 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Technical Abstract Bulletin
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Author :
language : en
Publisher:
Release Date : 1964
Technical Abstract Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Science categories.
U S Government Research Reports
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Author :
language : en
Publisher:
Release Date : 1964
U S Government Research Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Science categories.
Solutions To Problems Of Controlling Long Waves With The Help Of Micro Structure Tools
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Author : Vladimir V. Arabadzhi
language : en
Publisher: Bentham Science Publishers
Release Date : 2011
Solutions To Problems Of Controlling Long Waves With The Help Of Micro Structure Tools written by Vladimir V. Arabadzhi and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
"In recent times the idea of cloaking has become very popular. After radar and sonar were discovered, problems of ""visibility"" reduction for physical bodies in air (by electromagnetic waves) or in water (by acoustical waves) have immediately become serious"
Journal Of Research Of The National Bureau Of Standards
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Author : United States. National Bureau of Standards
language : en
Publisher:
Release Date : 1960
Journal Of Research Of The National Bureau Of Standards written by United States. National Bureau of Standards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Ionospheric radio wave propagation categories.