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Wave propagation and diffraction = m...

Selezov, Igor T.

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Wave propagation and diffraction = mathematical methods and applications /

Record Type:	Electronic resources : 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.
Published:	Singapore :Springer Singapore : : 2018.,
Description:	xv, 241 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Waves. -
Online resource:	http://dx.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. - Singapore :Springer Singapore :2018. - xv, 241 p. :ill., digital ;24 cm. - 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:

535888
Waves.

LC Class. No.: QC157 / .S454 2018

Dewey Class. No.: 531.1133

Wave propagation and diffraction = mathematical methods and applications /
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100 1 $a Selezov, Igor T. $3 3296632
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.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2018.
300 $a xv, 241 p. : $b ill., digital ; $c 24 cm.
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.
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650 1 4 $a Engineering. $3 586835
650 2 4 $a Continuum Mechanics and Mechanics of Materials. $3 890989
650 2 4 $a Classical Electrodynamics. $3 3135223
650 2 4 $a Numerical Analysis. $3 892626
650 2 4 $a Characterization and Evaluation of Materials. $3 890988
650 2 4 $a Crystallography and Scattering Methods. $3 3218070
700 1 $a Kryvonos, Yuriy G. $3 3296633
700 1 $a Gandzha, Ivan S. $3 3296634
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Foundations of engineering mechanics. $3 2058279
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