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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 89, Pages 270–274 (Mi znsl3137)  

On calculation of wave field of the source inside a thin sphere with a slit

A. M. Radin
Abstract: A strict solution of the problem of the diffraction on a sphere with a slit is obtained. The solution is given in terms of a system of linear algebraic equations of the second kind for Fourier coefficients of the wave field. The matrix operator is compact so that it is not difficult to deduce the convergence of the reduction method. The norm of the operator is small, if the parameters of the problem are in some domain. The system is convenient for calculation.
English version:
Journal of Soviet Mathematics, 1982, Volume 19, Issue 4, Pages 1494–1497
DOI: https://doi.org/10.1007/BF01085037
Bibliographic databases:
UDC: 517.947+535.422
Language: Russian
Citation: A. M. Radin, “On calculation of wave field of the source inside a thin sphere with a slit”, Mathematical problems in the theory of wave propagation. Part 10, Zap. Nauchn. Sem. LOMI, 89, "Nauka", Leningrad. Otdel., Leningrad, 1979, 270–274; J. Soviet Math., 19:4 (1982), 1494–1497
Citation in format AMSBIB
\Bibitem{Rad79}
\by A.~M.~Radin
\paper On calculation of wave field of the source inside a~thin sphere with a~slit
\inbook Mathematical problems in the theory of wave propagation. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 89
\pages 270--274
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3137}
\zmath{https://zbmath.org/?q=an:0426.73026|0486.73018}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 19
\issue 4
\pages 1494--1497
\crossref{https://doi.org/10.1007/BF01085037}
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