Full spectral response of grating-induced loss in photonic crystal microrings

Abstract: Photonic crystal microrings (PhCRs) have emerged as powerful and versatile platforms for integrated nonlinear photonics, offering precise control over frequency and phase matching while maintaining high optical quality factors. Through grating-mediated mode coupling, PhCRs enable advanced dispersion engineering, which is critical for wideband nonlinear processes such as optical parametric oscillation, Kerr frequency comb generation, and dual-pump spontaneous and Bragg scattering four-wave mixing. Beyond dispersion control, PhCRs also facilitate the manipulation of orbital angular momentum (OAM) emission, a key functionality for encoding high-dimensional quantum states in emerging quantum photonic platforms. Despite these advances, the broadband spectral behavior of grating-induced losses in PhCRs remains largely unexplored, with most studies focusing on grating periods near the modal wavelength or its half. Such losses can significantly impact broadband nonlinear processes, where excess loss at unintended wavelengths can degrade device performance. In this work, we experimentally characterize grating-induced losses in PhCRs and reveal their full spectral response as a function of the ratio between modal wavelength and grating period. We identify distinct loss channels arising from either radiation or mode conversion, including a broad excess-loss region attributed to vertical out-coupling into OAM-carrying states. These observations are supported by three-dimensional finite-difference time-domain simulations and further analyzed through OAM radiation angle and phase-mismatch analysis. The resulting broadband loss spectrum highlights critical design trade-offs and provides practical guidelines for optimizing PhCR-based devices for nonlinear photonic applications involving widely separated frequencies.