Dependence of the self-modulation frequency on the parameters of a solid-state ring laser

Theoretical and experimental investigations were made of the influence of the detuning of the lasing frequency from the centre of the gain line on the modulation frequency ω_m in a type-1 self-modulation regime when the cavity is characterised by amplitude and frequency nonreciprocities. The moduli and phases of the coupling coefficients of counter propagating waves are arbitrary. It is shown that the amplitude nonreciprocity of the cavity has a strong influence on the nature of the dependence of ω_m on the frequency detuning. A comparison with the experimental results makes it possible to estimate the difference between the phases of the coupling coefficients of a ring Nd : YAG chip laser.