|
Zapiski Nauchnykh Seminarov POMI, 2004, Volume 308, Pages 101–123
(Mi znsl830)
|
|
|
|
This article is cited in 5 scientific papers (total in 5 papers)
On an integral equation in the problem of the plane wave diffraction by a circular transparent cone
M. A. Lyalinov Saint-Petersburg State University
Abstract:
The problem of diffraction by a transparent convex cone is studied. The uniqueness theorem is proven in the problem of diffraction for the illumination by a compact source. For the circular cone the solution is obtained in the form of the Kontorovich–Lebedev integrals and of the Fourier series expansions. A singular integral equation is deduced for the Fourier coefficients and its reqularization is performed.
Received: 18.12.2003
Citation:
M. A. Lyalinov, “On an integral equation in the problem of the plane wave diffraction by a circular transparent cone”, Mathematical problems in the theory of wave propagation. Part 33, Zap. Nauchn. Sem. POMI, 308, POMI, St. Petersburg, 2004, 101–123; J. Math. Sci. (N. Y.), 132:1 (2006), 56–68
Linking options:
https://www.mathnet.ru/eng/znsl830 https://www.mathnet.ru/eng/znsl/v308/p101
|
Statistics & downloads: |
Abstract page: | 296 | Full-text PDF : | 82 | References: | 47 |
|