Abstract
We investigate the self-similar shape mode of laser pulse propagation in medium with two-photon and multi-photon absorption under action of either cubic nonlinearity or resonant nonlinearity. The annalitycal solution for laser pulse propagation under the detuning between carrier frequency of a wave packet and energy transition frequency for atom or molucule is developed. An existance of the self-similar shape mode for laser beam propagation in de-focusing medium is predicted if the nonlinear absoption takes place. This mode takes place along some distance of laser pulse propagation. We used as analytical approach for considered problem as well as computer simulation.
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