14 May 2018 Analysis of frequency modulation of femtosecond laser pulses with various incident pulse shape at SHG in medium with combined nonlinear response
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Abstract
One of very interesting phenomena under the frequency conversion appears, if incident intensity of basic wave is enough high. In this case due to self- and cross-modulation of basic wave and wave with doubled frequency a synchronous mode of laser pulses changing appears under certain condition as well as color soliton formation. For both processes the main role plays frequency modulation of the interacting waves. Therefore, investigation of the pulse chirp appearance is very important for color soliton formation. First, we investigate the phenomenon using the analytical approach without applying the basic wave energy non-depletion approximation. Based on original approach we derive the solution of Schr¨odinger equations, describing the SHG for femtosecond pulses, that describes correctly the energy conversion with propagation distance, which is much greater than the dispersion length and nonlinear length, for incident Gaussian shape (or other shape) of pulse with basic frequency. Using this solution we compare the frequency modulation of both interacting pulses for various incident temporal distribution of wave with basic frequency.
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Vyacheslav A. Trofimov, Vyacheslav A. Trofimov, Dmitry M. Kharitonov, Dmitry M. Kharitonov, Mikhail V. Fedotov, Mikhail V. Fedotov, } "Analysis of frequency modulation of femtosecond laser pulses with various incident pulse shape at SHG in medium with combined nonlinear response ", Proc. SPIE 10684, Nonlinear Optics and its Applications 2018, 106841A (14 May 2018); doi: 10.1117/12.2302404; https://doi.org/10.1117/12.2302404
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