國立虎尾科技大學 |

Wave Propagation and Diffraction = Mathematical Methods and Applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Wave Propagation and Diffraction/ by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha.
Reminder of title:	Mathematical Methods and Applications /
Author:	Selezov, Igor T.
other author:	Kryvonos, Yuriy G.
Description:	XV, 241 p. 65 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mechanics. -
Online resource:	https://doi.org/10.1007/978-981-10-4923-1
ISBN:	9789811049231

Wave Propagation and Diffraction = Mathematical Methods and Applications /
Selezov, Igor T.

Wave Propagation and DiffractionMathematical Methods and Applications /[electronic resource] :by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha. - 1st ed. 2018. - XV, 241 p. 65 illus.online resource. - Foundations of Engineering Mechanics,1612-1384. - Foundations of Engineering Mechanics,.

Some Analytical and Numerical Methods in the Theory of Wave Propagation and Diffraction -- Spectral Methods in the Theory of Wave Propagation -- Ray Method of Investigating the Wave Evolution over Arbitrary Topography -- Analytical and Numerical Solutions of Wave Diffraction Problems -- Wave Diffraction by Convex Bodies in Semibounded Regions -- Propagation and Evolution of Transient Water Waves.

This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling t he refraction of surface gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.

ISBN: 9789811049231

Standard No.: 10.1007/978-981-10-4923-1doiSubjects--Topical Terms:

527684
Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 531

Wave Propagation and Diffraction = Mathematical Methods and Applications /
LDR:03264nam a22004095i 4500 001 998759
003 DE-He213
005 20200705141852.0
007 cr nn 008mamaa
008 201225s2018 si | s |||| 0|eng d
020 $a 9789811049231 $9 978-981-10-4923-1
024 7 $a 10.1007/978-981-10-4923-1 $2 doi
035 $a 978-981-10-4923-1
050 4 $a TA349-359
072 7 $a TGMD $2 bicssc
072 7 $a SCI096000 $2 bisacsh
072 7 $a TGMD $2 thema
082 0 4 $a 531 $2 23
100 1 $a Selezov, Igor T. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1290247
245 1 0 $a Wave Propagation and Diffraction $h [electronic resource] : $b Mathematical Methods and Applications / $c by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha.
250 $a 1st ed. 2018.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2018.
300 $a XV, 241 p. 65 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Foundations of Engineering Mechanics, $x 1612-1384
505 0 $a Some Analytical and Numerical Methods in the Theory of Wave Propagation and Diffraction -- Spectral Methods in the Theory of Wave Propagation -- Ray Method of Investigating the Wave Evolution over Arbitrary Topography -- Analytical and Numerical Solutions of Wave Diffraction Problems -- Wave Diffraction by Convex Bodies in Semibounded Regions -- Propagation and Evolution of Transient Water Waves.
520 $a This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling t he refraction of surface gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.
650 0 $a Mechanics. $3 527684
650 0 $a Mechanics, Applied. $3 596630
650 0 $a Optics. $3 595336
650 0 $a Electrodynamics. $3 683887
650 0 $a Numerical analysis. $3 527939
650 0 $a Materials science. $3 557839
650 0 $a Crystallography. $3 583281
650 1 4 $a Solid Mechanics. $3 1211586
650 2 4 $a Classical Electrodynamics. $3 1113739
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Characterization and Evaluation of Materials. $3 674449
650 2 4 $a Crystallography and Scattering Methods. $3 1142947
700 1 $a Kryvonos, Yuriy G. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1290248
700 1 $a Gandzha, Ivan S. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1290249
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811049224
776 0 8 $i Printed edition: $z 9789811049248
776 0 8 $i Printed edition: $z 9789811352676
830 0 $a Foundations of Engineering Mechanics, $x 1612-1384 $3 1257545
856 4 0 $u https://doi.org/10.1007/978-981-10-4923-1
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)