Theory of THG of high intensive femtosecond laser pulse

Vyacheslav A. Trofimov; Vladislav V. Trofimov; Ekatirina A. Yudina

doi:10.1117/12.752092

27 July 2007 Theory of THG of high intensive femtosecond laser pulse

Vyacheslav A. Trofimov, Vladislav V. Trofimov, Ekatirina A. Yudina

Proceedings Volume 6729, ICONO 2007: Coherent and Nonlinear Optical Phenomena; 672935 (2007) https://doi.org/10.1117/12.752092
Event: The International Conference on Coherent and Nonlinear Optics, 2007, Minsk, Belarus

Abstract

The report is devoted to an analytical solution and computer simulation of the THG for femtosecond pulses taking into account self- and cross- modulation of interacting waves. As it is well known, for the case under consideration because of pulses self-action the low efficiency of frequency conversion takes place for phase and group wave matching as rule. Therefore, in physical experiment, the THG is realized on the base of SHG and then summary frequency wave generation for waves with basic and doubling frequencies. Using an original approach, we obtained an explicit solution of Schrödinger equations describing THG in the framework of longer duration of pulses. It should be stressed, that the main feature of our approach is an using of conservation laws for interacting waves. We found various regime of trebling frequency and shown that under some conditions the THG process has a bistable features on conversion efficiency. On the base of our solution we show an existence of two regimes: one of them corresponds to low frequency conversion efficiency and other to high one. It is very important for practice realization that switching between two stable states can be realized due to changing of phase mismatching in short intervals of its values. It should be noticed that computer simulation results, which are obtained with taking into account second order dispersion and without it, has confirmed analytical results. For computer simulation, we constructed conservative difference scheme, which gave a possibility to made simulation with high accuracy.

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Vyacheslav A. Trofimov, Vladislav V. Trofimov, and Ekatirina A. Yudina "Theory of THG of high intensive femtosecond laser pulse", Proc. SPIE 6729, ICONO 2007: Coherent and Nonlinear Optical Phenomena, 672935 (27 July 2007); https://doi.org/10.1117/12.752092

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KEYWORDS

Frequency conversion

Computer simulations

Femtosecond phenomena

Pulsed laser operation

Dispersion

Harmonic generation

Second-harmonic generation

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