Wave Propagation and Diffraction

Mathematical Methods and Applications

Nonfiction, Science & Nature, Science, Physics, Electricity, Mechanics, Technology
Cover of the book Wave Propagation and Diffraction by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha, Springer Singapore
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha ISBN: 9789811049231
Publisher: Springer Singapore Publication: September 5, 2017
Imprint: Springer Language: English
Author: Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
ISBN: 9789811049231
Publisher: Springer Singapore
Publication: September 5, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Singapore

Cover of the book Proceedings of GeoShanghai 2018 International Conference: Multi-physics Processes in Soil Mechanics and Advances in Geotechnical Testing by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Image-Based Computer-Assisted Radiation Therapy by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Tokyo as a Global City by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Annual Report on the Development of the Indian Ocean Region (2016) by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Inspection of Medical Devices by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book The Changing Face of Parties and Party Systems by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Scientific Metrics: Towards Analytical and Quantitative Sciences by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Geometric Complex Analysis by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Materials for Energy Infrastructure by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Transboundary Game of Life by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Adaptivity as a Transformative Disposition by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Advances in Communication, Cloud, and Big Data by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Pharmacokinetic and Pharmacodynamic Drug Interactions Associated with Antiretroviral Drugs by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Environmental Risk Analysis for Asian-Oriented, Risk-Based Watershed Management by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Computer-Aided Architectural Design. Future Trajectories by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy