书目名称 | Problems of High Frequency Diffraction by Elongated Bodies |
编辑 | Ivan Andronov |
视频video | |
概述 | Is the only book describing the influence of the rate of body elongation on the effects of high frequency diffraction.Presents many numerical data graphically.Contains concise mathematical derivations |
丛书名称 | Springer Series in Optical Sciences |
图书封面 |  |
描述 | .Classical asymptotic expansions, while producing a good approximation for the diffracted fields in general, appear hardly applicable in the case of extremely elongated bodies. Thus, there are problems that are on the one hand too difficult for numerical solvers due to large system size, and on the other hand make the description with classical asymptotic methods hard. The book explains why this happens and suggests the way out. By defining the characteristics of a strongly elongated body it introduces a special class of asymptotic approximations, which are in some sense uniform with respect to the rate of body elongation...Chapter 1 briefly describes the results of V. A. Fock and further developments of his approach towards the problems of diffraction by elongated obstacles. It formulates the cases of moderately and strongly elongated bodies. The rest of the book describes the approach of special parabolic equations, which lead to new asymptotic approximations for the diffracted fields. Chapters 2, 3 and 4 discuss diffraction by bodies of elliptical shape: The elliptic cylinder with a strongly elongated cross section and prolate spheroid with a high aspect ratio. Chapter 5 general |
出版日期 | Book 2023 |
关键词 | Diffraction of High-Frequency Wave; Elongated Objects; Asymptotic Expansion; High-Frequency Waves; Spher |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-99-1276-6 |
isbn_softcover | 978-981-99-1278-0 |
isbn_ebook | 978-981-99-1276-6Series ISSN 0342-4111 Series E-ISSN 1556-1534 |
issn_series | 0342-4111 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |