Simultaneous generation of the 2nd and 3rd harmonic, excited by linearly frequency- chirped fundamental pulse in quasiphase
matched grating with linearly varying inverse domain sizes has been studied numerically with taking into account
effects of the group velocity mismatches and dispersions. Mechanisms of efficient nonlinear pulse compressions and
conversion efficiencies of the generated harmonics have been analyzed.
Influence of relation between scattering matrix elements responsible for Stokes and anti-Stokes pulse amplification on efficiency of the energy exchange and character of self- induced amplitude-phase modulation is analyzed in the essentially transient regime.
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