Theory of spin-flip laser modes. I - Threshold modulation and tuning behavior

Theoretical calculations of threshold intensity and output frequency as functions of magnetic field are presented for the InSb spin-flip Raman laser. These are based on a numerical solution of Maxwell's equations for the case of a pump beam of Gaussian profile as well as various analytical results for more approximate models. The results are used to discuss nonlinear tuning characteristics, mode jumping, and the dependence of threshold power on beam size. These calculations include the effects of finite beam size, which are found to be quite significant and to consist chiefly of a marked asymmetry of the variation of threshold power and tuning rate across each mode. This asymmetry is in qualitative agreement with recent experimental observations. The model may be readily generalized to include higher modes and extended to the case of constant input power.