國立高雄大學圖資館 |

Language: English

Back

Problems of high frequency diffraction by elongated bodies

Record Type:	Electronic resources : Monograph/item
Title/Author:	Problems of high frequency diffraction by elongated bodiesby Ivan Andronov.
Author:	Andronov, I. V.
Published:	Singapore :Springer Nature Singapore :2023.
Description:	xii, 188 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Diffraction.
Online resource:	https://doi.org/10.1007/978-981-99-1276-6
ISBN:	9789819912766$q(electronic bk.)

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. 93..

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$q(electronic bk.)

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

194903
Diffraction.

LC Class. No.: QC415 / .A53 2023

Dewey Class. No.: 535.42

Problems of high frequency diffraction by elongated bodies
LDR:02987nmm a2200337 a 4500 001 643561
003 DE-He213
005 20230414074458.0
006 m d
007 cr nn 008maaau
008 231123s2023 si s 0 eng d
020 $a 9789819912766$q(electronic bk.)
020 $a 9789819912759$q(paper)
024 7 $a 10.1007/978-981-99-1276-6 $2 doi
035 $a 978-981-99-1276-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QC415 $b .A53 2023
072 7 $a PHJ $2 bicssc
072 7 $a SCI074000 $2 bisacsh
072 7 $a PHJ $2 thema
082 0 4 $a 535.42 $2 23
090 $a QC415 $b .A575 2023
100 1 $a Andronov, I. V. $3 951354
245 1 0 $a Problems of high frequency diffraction by elongated bodies $h [electronic resource] / $c by Ivan Andronov.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a xii, 188 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer series in optical sciences, $x 1556-1534 ; $v v. 243
505 0 $a 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.
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.
650 0 $a Diffraction. $3 194903
650 1 4 $a Classical Optics, Geometric and Wave optics. $3 913349
650 2 4 $a Classical Electrodynamics. $3 760155
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Acoustics. $3 242702
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer series in optical sciences ; $v v. 93. $3 438651
856 4 0 $u https://doi.org/10.1007/978-981-99-1276-6
950 $a Physics and Astronomy (SpringerNature-11651)