Overview
- Features two distinct aspects of wave dynamics: wave propagation and diffraction
- Presents the application of different mathematical methods to the solution of typical problems
- Offers insights into directions for further developing wave diffraction theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Foundations of Engineering Mechanics (FOUNDATIONS)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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 the refraction of surf
ace 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.
Authors and Affiliations
About the authors
Prof. Igor Selezov is a head of the Department of Hydrodynamics of Wave Processes at the Institute of Hydromechanics of the National Academy of Sciences of Ukraine (Kyiv, Ukraine). His scientific interests include wave processes in liquid and elastic media, wave diffraction, magnetohydrodynamics, wave biohydrodynamics. He is an author of more than 400 scientific publications and 12 monographs. Prof. Selezov is an Honoured Science and Engineering Worker of Ukraine, Foreign Member of GAMM (Gesellschaft für Angewandte Mathematik und Mechanik), a fellow of the National Committee on Theoretical and Applied Mechanics of Ukraine.
Prof. Yuriy Kryvonos is a member of the National Academy of Sciences of Ukraine. Hi is a vice-director of the Institute of Cybernetics of the National Academy of Sciences of Ukraine (Kyiv, Ukraine). His scientific interests include computer technologies, wave propagation and diffraction, identification of wave processes, controlling of dynami
c objects. He is an author of more than 300 scientific publications and several monographs. Prof. Kryvonos is an Honored Worker of Ukraine in the field of science and technology.Dr. Ivan Gandzha is a senior research fellow at the Department of Theoretical Physics at the Institute of Physics of the National Academy of Sciences of Ukraine (Kyiv, Ukraine). His scientific interests include the theory of nonlinear waves, solitons and chaos, nonlinear vibrations. He is an author of more than 30 scientific publications and one monograph. Dr. Gandzha is a member of the Editorial board of the Ukrainian Journal of Physics.
Bibliographic Information
Book Title: Wave Propagation and Diffraction
Book Subtitle: Mathematical Methods and Applications
Authors: Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Series Title: Foundations of Engineering Mechanics
DOI: https://doi.org/10.1007/978-981-10-4923-1
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2018
Hardcover ISBN: 978-981-10-4922-4Published: 15 September 2017
Softcover ISBN: 978-981-13-5267-6Published: 09 February 2019
eBook ISBN: 978-981-10-4923-1Published: 05 September 2017
Series ISSN: 1612-1384
Series E-ISSN: 1860-6237
Edition Number: 1
Number of Pages: XV, 241
Number of Illustrations: 65 b/w illustrations
Topics: Solid Mechanics, Classical Electrodynamics, Numerical Analysis, Characterization and Evaluation of Materials, Crystallography and Scattering Methods