Parametric resonance in a self-contained solid-state ring laser

The interaction between self-modulation and relaxation oscillations in a solid-state ring laser operating in a self-modulation regime of the first kind is investigated theoretically. It is shown that the regions of parametric resonances between the self-modulation and relaxation oscillations have a strong influence on the stability of the former oscillations. The limits of the parametric instability bands and growth increments of the relaxation oscillations are found.