- Accepted Paper
Kramers-Kronig causality in integrated photonics: The spectral tension between ultraviolet transition and midinfrared absorption
Phys. Rev. Lett. - Accepted 27 July, 2026
DOI: https://doi.org/10.1103/jnwg-3m6r
Phys. Rev. Lett. - Accepted 27 July, 2026
DOI: https://doi.org/10.1103/jnwg-3m6r
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.
If the author has provided any supplemental materials with this article they will be available upon publication of the version of record.