A method for solving the problem of nonlinear optical self-focusing in an infinite half-space
Numerical methods and programming, Tome 9 (2008) no. 1, pp. 77-83
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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.
@article{VMP_2008_9_1_a9,
author = {A. N. Demidova and Ya. M. Zhileikin},
title = {A method for solving the problem of nonlinear optical self-focusing in an infinite half-space},
journal = {Numerical methods and programming},
pages = {77--83},
publisher = {mathdoc},
volume = {9},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2008_9_1_a9/}
}
TY - JOUR AU - A. N. Demidova AU - Ya. M. Zhileikin TI - A method for solving the problem of nonlinear optical self-focusing in an infinite half-space JO - Numerical methods and programming PY - 2008 SP - 77 EP - 83 VL - 9 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMP_2008_9_1_a9/ LA - ru ID - VMP_2008_9_1_a9 ER -
%0 Journal Article %A A. N. Demidova %A Ya. M. Zhileikin %T A method for solving the problem of nonlinear optical self-focusing in an infinite half-space %J Numerical methods and programming %D 2008 %P 77-83 %V 9 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMP_2008_9_1_a9/ %G ru %F VMP_2008_9_1_a9
A. N. Demidova; Ya. M. Zhileikin. A method for solving the problem of nonlinear optical self-focusing in an infinite half-space. Numerical methods and programming, Tome 9 (2008) no. 1, pp. 77-83. http://geodesic.mathdoc.fr/item/VMP_2008_9_1_a9/