Dynamics of Frequency Comb Generation and Design of Planar Microring Resonators

We study the generation of optical frequency combs from microresonators and show that a truncated dynamical model can capture the essential nonlinear dynamics of both stable and chaotic patterns. We also present an analytical approach for obtaining linear and nonlinear design parameters of planar microring resonators. Closed form approximations for the eigenmode/eigenfrequency problem are derived for resonators possessing a large radius to width ratio and examples are presented for silicon microrings.