Dynamics of injection locking in a solid-state laser with intracavity second-harmonic generation

The dynamics of oscillation in a solid-state laser with intracavity second- harmonic generation under the influence of an external signal at the second -harmonic frequency injected into its cavity in the presence of feedback at the double frequency is theoretically studied. Boundaries of the regions o f injection locking for three stationary laser states differing in the nonl inear phase incursion caused by radiation conversion into the second harmon ic are found. Relaxation oscillations in the stationary state of injection locking are studied. It is shown that the second relaxation frequency, whic h is related to phase perturbations of the second harmonic and perturbation s of the phase difference of waves in a nonlinear crystal, is excited in a single-mode solid-state laser in addition to the fundamental frequency of r elaxation oscillations. Conditions are found under which relaxation oscilla tions at the second relaxation frequency are excited.