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Numerical methods and programming, 2008, Volume 9, Issue 1, Pages 77–83 (Mi vmp420)  
Вычислительные методы и приложения

A method for solving the problem of nonlinear optical self-focusing in an infinite half-space

A. N. Demidovaa, Ya. M. Zhileikinb

a Institute of Cryptography, Communications and Informatics, Academy of Federal Security Service of Russian Federation, Moscow
b Lomonosov Moscow State University, Research Computing Center
Full-text PDF (360 kB)
Abstract: A numerical method for solving the problem of nonlinear optical self-focusing in an infinite half-space is proposed. Some numerical results obtained for the propagation of light beams in a linear medium and in a medium with the Kerr-type nonlinearity and with the three-photon absorption are discussed. These numerical results are compared with the results obtained by a previously proposed method for a domain bounded along the transverse coordinate. The work was supported by the Russian Foundation for Basic Research (project No. 08-01-00285).
Keywords: nonlinear oscillations, optical self-focusing, light beams, three-photon light absorption, Kerr-type non-linearity.
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. N. Demidova, Ya. M. Zhileikin, “A method for solving the problem of nonlinear optical self-focusing in an infinite half-space”, Num. Meth. Prog., 9:1 (2008), 77–83
Citation in format AMSBIB
\Bibitem{DemZhi08}
\by A.~N.~Demidova, Ya.~M.~Zhileikin
\paper A method for solving the problem of nonlinear optical self-focusing in an infinite half-space
\jour Num. Meth. Prog.
\yr 2008
\vol 9
\issue 1
\pages 77--83
\mathnet{http://mi.mathnet.ru/vmp420}
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