On stability of Raman and degenerate hyper-Raman scattering |
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Authors: | J. Pochylý |
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Affiliation: | (1) Institute of Radio Engineering and Electronics, Czechoslovak Academy of Sciences, Lumumbova 1, 182 51 Praha 8, Czechoslovakia;(2) Present address: The J. Heyrovský Institute of Physical Chemistry and Electrochemistry, Czechosl. Acad. Sci., Dolej kova 3, 182 23 Praha 8, Czechoslovakia |
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Abstract: | The problem of the stationary generation by Raman and degenerate hyper-Raman scattering is solved by means of two methods: stationary solution of the generalized Fokker-Planck equation and linear analysis of stability of the Langevin equations. The conditions of stability and the corresponding stationary values for amplitudes of the Stokes, anti-Stokes or output laser modes are obtained for particular cases. A phenomenon analogous to the second order phase transition can occur for Stokes or anti-Stokes interaction of Raman scattering above the threshold value of the pump amplitude. The anti-Stokes interaction of degenerate hyper-Raman scattering can show bistable behaviour above the second threshold value of the pump amplitude.The author would like to express his sincere thanks to Dr. J. Pe ina for comments and stimulating discussions. |
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