The cross-interaction effect between ultrashort light pulses in an inertial nonlinear medium

A consistent theory of cross-interaction effect between two ultrashort coherent light pulses (USPs) in a medium with relaxation Kerr nonlinearity is developed. The correspondent algebra of time-dependent Bose-operators is elaborated. It is established that the spectral region of the investigated pulse, where the quadrature fluctuations are weaker than the shot-noise, depends on the relaxation time of the nonlinearity, the magnitude of the nonlinear phase shift and the intensity of other pulse. It is shown that the frequency at which the suppression of fluctuations is greatest can be controlled by adjusting the phase of the initial investigated light pulse or the intensity of other