A Method for Determining the Formation Position of Comb Tooth of Kerr Micro-Ring

Realizing quantum micro-comb in micro-resonators has attracted continuous research effort. Kerr micro-combs generated from a micro-ring device can offer an enormous number of coherent wavelengths. The formation position of comb teeth (FPOCT) has been detected in experimental by the non-degenerate optical parametric oscillation OPO process. In this paper, we put forward a method for determining the FPOCT are suitable for both degenerate OPO process and non-degenerate OPO process. Based on second-order auto-correlation function
$g^{({2})}(\tau)$
, we give out a comprehensive analysis of FPOCT above and below the threshold. We provides a possible theoretical basis for the manipulation of the comb teeth. Our quantum dynamical explanations show good agreement with the experimental results.