Email this article Merging of Asymptotics in the Illuminated Part of the Fock Domain
- Authors: Kirpichnikova N.Y.1, Popov M.M.1
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Affiliations:
- St. Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 214, No 3 (2016)
- Pages: 277-286
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237379
- DOI: https://doi.org/10.1007/s10958-016-2777-2
- ID: 237379
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Abstract
Investigation of the shortwave diffraction by elongated bodies of revolution requires a detailed consideration of matching of local asymptotics in the illuminated part of the Fock domain. In the paper, that task is solved by means of a straightforward construction of the reflected wave with the help of the ray method. The main problem on the way, which was judged by V. A. Fock as a rather complicated one, is the calculation of the eikonal and the geometric spreading in curvilinear coordinates used in the boundary layer method in the vicinity of the light-shadow zone. Bibliography: 9 titles.
About the authors
N. Ya. Kirpichnikova
St. Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: nkirp@pdmi.ras.ru
Russian Federation, St. Petersburg
M. M. Popov
St. Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: mpopov@pdmi.ras.ru
Russian Federation, St. Petersburg
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