Wave propagation and diffraction : mathematical methods and applications 1st ed.

Author

• Selezov, Igor T.

Additional Author(s)

• Kryvonos, Yuriy G.
• Gandzha, Ivan S.

Publisher

Singapore: Springer Nature Singapore Pte Ltd., 2018

Language

English

ISBN

9789811049231

Series

Foundations of engineering mechanics

Subject(s)

• MATERIALS SCIENCE
• NUMERICAL ANALYSIS
• WAVES

Notes

. .

Abstract

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.

Physical Dimension

Number of Page(s)

1 online resource (xv, 241 p.)

Dimension

-

Other Desc.

ill.

Summary / Review / Table of Content

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.

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	01153/20	531.1133 Sel W	Online !	Available