Parametric wave interaction in media exhibiting quadratic and cubic nonlinearities under high-frequency pumping conditions

Specific features of parametric interaction in media exhibiting quadratic and cubic nonlinearities under conditions of high-frequency pumping and nonzero detuning from the phase matching are analyzed. It is shown that the presence of two types of nonlinearities and frequency detuning broaden the possibilities of controlling the dynamics of the forming partial pulses by changing the pump power. The possibility of the signal and idler waves’ decay into four frequency-modulated partial wave packets with different values of chirp and velocities of their envelope maximum is established. The envelope maximum velocities of the partial pulses, as well as their walk-off velocities, can reach values exceeding the speed of light in vacuum.