• Accepted Paper

Kramers-Kronig causality in integrated photonics: The spectral tension between ultraviolet transition and midinfrared absorption

Yue Hu, Zhenyuan Shang, Chenxi Zhang, Yuanjie Ning, Weiqin Zheng, Dengke Chen, Sanli Huang, Baoqi Shi, Zeying Zhong, Hao Tan, Wei Sun, Yi-Han Luo, Xinmao Yin, Zhi-Chuan Niu, and Junqiu Liu

Phys. Rev. Lett. - Accepted 27 July, 2026

DOI: https://doi.org/10.1103/jnwg-3m6r

Abstract

Dispersion engineering via geometric confinement is essential to integrated nonlinear photonics. However, prevailing methodologies rely on semi-empirical Sellmeier models that assume idealized material purity, neglecting the pronounced dispersion shifts induced by residual impurities like hydrogen-related bonds. Here, we demonstrate that these residual bonds fundamentally alter the dispersion landscape spanning from the ultraviolet (UV) to the mid-infrared (MIR) spectra. Specifically, they introduce MIR vibrational absorption while simultaneously modifying UV electronic transitions, shifting the bandgap and UV pole. We show that the spectral tension between these UV and MIR modifications dictates the group velocity dispersion from the visible to the near-infrared (NIR) via the Kramers–Kronig causality. We experimentally validate this phenomenon through systematic characterization of broadband loss and dispersion in ultralow-loss silicon nitride photonic integrated circuits. By rigorously incorporating these effects, we bridge the gap between empirical fitting and predictive physical modeling. Our study resolves long-standing discrepancies in dispersion engineering, providing precision control essential for next-generation integrated photonics.

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