Analytic instability thresholds in folded Kerr resonators of arbitrary finesse

Firth, William J. and Geddes, John B. and Karst, Nathaniel J. and Oppo, Gian-Luca (2021) Analytic instability thresholds in folded Kerr resonators of arbitrary finesse. Physical Review A - Atomic, Molecular, and Optical Physics, 103 (2). 023510. ISSN 1094-1622

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    Abstract

    We present analytic threshold formulas applicable to both dispersive (time-domain) and diffractive (pattern- forming) instabilities in Fabry-Perot Kerr cavities of arbitrary finesse. We do so by extending the gain-circle technique, recently developed for counterpropagating fields in single-mirror-feedback systems, to allow for an input mirror. In time-domain counterpropagating systems, walk-off effects are known to suppress cross- phase modulation contributions to dispersive instabilities. Applying the gain-circle approach with appropriately adjusted cross-phase couplings extends previous results to arbitrary finesse, beyond mean-field approximations, and describes Ikeda instabilities.

    ORCID iDs

    Firth, William J., Geddes, John B., Karst, Nathaniel J. and Oppo, Gian-Luca ORCID logoORCID: https://orcid.org/0000-0002-5376-4309;