Steady-State Analysis of a Two-Mode Laser System with Cross-Correlation Between Real and Imaginary Parts of Quantum Noise

An inhomogeneously broadened two-mode laser system with cross-correlations between the real and imaginaryparts of quantum noise is considered. The Fokker-Planck equation of the system is derived by the phase-lockingmethod. The steady-state probability distribution, the mean light intensity, the normalization autocorrelation function,and cross correlation function are calculated. The results indicate that: (ⅰ) The cross-correlation between the real andimaginary parts of quantum noise can cause the stationary probability distribution from one peak structure to twoextrema structure when the laser system is operated above threshold; (ⅱ) The cross-correlation between the real andimaginary parts of quantum noise enhance the light intensity fluctuation and decrease the laser output when the lasersystem is operated below or near threshold; (ⅲ) The effect of the cross-correlation between the real and imaginary partsof quantum noise is very weak on the stationary properties when the laser system is operated far above threshold.