Microring resonators are ubiquitously used in integrated photonics, including in areas such as nonlinear and quantum optics, where light-matter interactions are enhanced through their high-quality factors and small mode volumes. We have been exploring the benefits derived by utilizing photonic crystal microring resonators in such areas. These photonic crystal rings are created by inscribing a grating on the inner sidewall of the ring and offer new opportunities to impact nonlinear and quantum optics through modification of the both the spectral and spatial properties of the resonator modes in comparison to conventional microring resonators. I will discuss how we engineer these resonators to realize properties such as single-mode, few-mode, and broadband dispersion engineering in the spectral domain, and strong field localization and orbital angular momentum generation in the spatial domain. Finally, I will discuss the application of the resonators to microresonator optical parametric oscillators and frequency combs and experiments in cavity quantum electrodynamics.
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