The space-dependent rate equations of intracavity coherent anti-Stokes Raman lasers are deduced by adding the term describing the coherent anti-Stokes scattering effect to the rate equations of the intracavity Raman laser. The intracavity photon densities of the fundamental and first Stokes lights and the initial population-inversion density are assumed to be Gaussian spatial distributions. The rate equations are normalized and solved numerically, and a group of general curves is generated. The influence of normalized parameters on the pulse parameters of the output anti-Stokes laser is investigated. The normalized rate-equation theory and numerical results will be of help in the design of high-performance intracavity coherent anti-Stokes Raman lasers.
Detuning the laser and the pump light from the atomic transitions in a three-level Raman laser can lead to a strong stabilization of the intracavity photon number. The corresponding Mandel Q parameter attains highly non-classical values very close to its optimum of Q=-1 and thus is significantly smaller than for the resonant case or the regularly pumped laser Q>- 1/2 . Subsequently we show that inhomogeneous Doppler broadening of the atomic lines does not drastically influence the non-classical behaviour of the intracavity field as long as the laser is operated sufficiently far above threshold.