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Problems of high frequency diffracti...

Andronov, I. V.

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Problems of high frequency diffraction by elongated bodies

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Problems of high frequency diffraction by elongated bodies/ by Ivan Andronov.
作者:	Andronov, I. V.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	xii, 188 p. :ill., digital ;24 cm.
內容註:	High-frequency diffraction and elongated bodies -- Diffraction by an elliptic cylinder -- Acoustic waves diffraction by spheroid -- Electromagnetic waves diffraction by spheroid -- Other strongly elongated shapes.
Contained By:	Springer Nature eBook
標題:	Diffraction. -
電子資源:	https://doi.org/10.1007/978-981-99-1276-6
ISBN:	9789819912766

Problems of high frequency diffraction by elongated bodies
Andronov, I. V.

Problems of high frequency diffraction by elongated bodies[electronic resource] /by Ivan Andronov. - Singapore :Springer Nature Singapore :2023. - xii, 188 p. :ill., digital ;24 cm. - Springer series in optical sciences,v. 2431556-1534 ;. - Springer series in optical sciences ;v. 243..

High-frequency diffraction and elongated bodies -- Diffraction by an elliptic cylinder -- Acoustic waves diffraction by spheroid -- Electromagnetic waves diffraction by spheroid -- Other strongly elongated shapes.

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.

ISBN: 9789819912766

Standard No.: 10.1007/978-981-99-1276-6doiSubjects--Topical Terms:

624261
Diffraction.

LC Class. No.: QC415 / .A53 2023

Dewey Class. No.: 535.42

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520 $a 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.
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