书目名称 | Wave Propagation and Diffraction |
副标题 | Mathematical Methods |
编辑 | Igor T. Selezov,Yuriy G. Kryvonos,Ivan S. Gandzha |
视频video | |
概述 | 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 dir |
丛书名称 | Foundations of Engineering Mechanics |
图书封面 |  |
描述 | .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 |
出版日期 | Book 2018 |
关键词 | Fourier expansions; spline functions; Laplace transform; Stokes waves; Split-step Fourier; water wave ref |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-10-4923-1 |
isbn_softcover | 978-981-13-5267-6 |
isbn_ebook | 978-981-10-4923-1Series ISSN 1612-1384 Series E-ISSN 1860-6237 |
issn_series | 1612-1384 |
copyright | Springer Nature Singapore Pte Ltd. 2018 |