Analysis of frequency modulation of femtosecond laser pulses with various incident pulse shape at SHG in medium with combined nonlinear responseстатья
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Аннотация: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 Schrodinger 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.