Optimization of a fiber Fabry-Perot resonator for low-threshold modulation instability Kerr frequency combs
Germain Bourcier (LAAS-MOST, CNES, LAAS), Safia Mohand Ousaid, (LAAS-MOST), Stephane Balac (IRMAR), Julien Lumeau (RCMO, FRESNEL), Antonin, Moreau (FRESNEL), Thomas Bunel (PhLAM), Arnaud Mussot (PhLAM), Matteo, Conforti (PhLAM), Olivier Llopis (LAAS-MOST)

TL;DR
This paper combines theoretical analysis and experimental validation to optimize fiber Fabry-Perot cavities for low-threshold Kerr frequency combs, focusing on modulation instability and cavity coupling parameters.
Contribution
It introduces a method to predict ideal fiber Fabry-Perot cavity parameters for Kerr combs using linear stability analysis and power enhancement concepts.
Findings
Optimal coupling differs for modulation instability and cold cavity.
Mirror reflectivity should be tailored to specific applications.
Experimental measurements confirm theoretical predictions.
Abstract
We report a theoretical and experimental investigation of fiber Fabry-Perot cavities aimed at enhancing Kerr frequency comb generation. The modulation instability (MI) power threshold is derived from the linear stability analysis of a generalized Lugiato-Lefever equation. By combining this analysis with the concepts of power enhancement factor (PEF) and optimal coupling, we predict the ideal manufacturing parameters of fiber Fabry-Perot (FFP) cavities for the MI Kerr frequency comb generation. Our findings reveal a distinction between the optimal coupling for modulation instability and that of the cold cavity. Consequently, mirror reflectivity must be adjusted to suit the specific application. We verified the predictions of our theory by measuring the MI power threshold as a function of detuning for three different cavities.
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