Analytic instability thresholds in folded Kerr resonators of arbitrary finesse

We present analytic threshold formulae 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 counter-propagating fields in single-mirror-fe...

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Bibliographic Details
Published in:arXiv.org 2021-02
Main Authors: Firth, William J, Geddes, John B, Karst, Nathaniel J, Gian-Luca Oppo
Format: Article
Language:English
Subjects:
Couplings
Dispersion
Fabry-Perot interferometers
Phase modulation
Stability analysis
Time domain analysis
Online Access:Get full text
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Summary:We present analytic threshold formulae 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 counter-propagating fields in single-mirror-feedback systems, to allow for an input mirror. In time-domain counter-propagating 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.
ISSN:2331-8422
DOI:10.48550/arxiv.2102.02042