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 Water Remediation by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Annual Report on the Development of the Indian Ocean Region (2018) 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 IT Convergence and Security 2017 by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book China Satellite Navigation Conference (CSNC) 2018 Proceedings by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Theory and Methods of Quantification Design on System-Level Electromagnetic Compatibility by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book The Challenge of Teaching by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Digitisation of Culture: Namibian and International Perspectives by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Proceedings of The 20th Pacific Basin Nuclear Conference by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Diachronic Changes Underlying Synchronic Distribution by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Responsibility and Governance by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Proceedings of 2015 2nd International Conference on Industrial Economics System and Industrial Security Engineering by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Mandarin Development of Indonesian Immigrants’ Children by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Networking Communication and Data Knowledge Engineering by Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha
Cover of the book Promising Practices in Indigenous Teacher Education 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