Thermo-Optical Spiking and Mixed-Mode Oscillations in Injected Kerr Microcavities

We investigate the influence of thermal effects on the dynamics of vertically emitting Kerr microcavities under detuned optical injection, which have been proposed as alternative platform for Kerr combs with advantage of tunability integration and vertical beam coupling [1]. However, the small mode volumes implies a large thermal dissipation which makes the analysis of thermal effects of paramount importance as it can impact the dynamics. Consequently, in this contribution we generalize our model [1], derived from first principles, a dynamical cavity detuning considering the impact of slow thermal effects. The resulting dynamical equations read