INFLUENCE OF PERIODIC LOSS MODULATION ON THE DYNAMICS OF SELF-MODULATION OSCILLATIONS IN A SOLID-STATE RING LASER

A theoretical investigation is made of the influence of periodic modul ation of intracavity losses on the dynamics of a solid-state ring lase r operating in a type I self-modulation regime. Analytic solutions are obtained for describing dynamic periodic locking of the frequency ome ga(m) of self-modulation oscillations to the frequency omega(p) of per iodic loss modulation and a quasi-periodic regime characterised by low -frequency modulation of self-modulation oscillations at the differenc e frequency omega(m) - omega(p). Analytic expressions are obtained for the width of the region in which locking of the frequency of self-mod ulation oscillations takes place. Numerical simulation of the dynamics of a solid-state ring laser is used to study the transition of this l aser to dynamic chaos when the loss modulation depth h is increased. I t is shown that the operational regimes of the laser and the condition s for its transition to dynamic chaos are significantly different in t he frequency ranges omega(m) > omega(p) and omega(m) < omega(p). The b oundaries separating regimes with chaotic, periodic, and quasiperiodic dynamics are found in the (omega(p), h) plane.