Analytic instability thresholds in folded Kerr resonators of arbitrary finesse

William J. Firth; John B. Geddes; Nathaniel J. Karst; Gian-Luca Oppo

doi:10.1103/PhysRevA.103.023510

Analytic instability thresholds in folded Kerr resonators of arbitrary finesse

William J. Firth, John B. Geddes, Nathaniel J. Karst, Gian-Luca Oppo

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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.

Original language	English
Article number	023510
Number of pages	5
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	103
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.103.023510
Publication status	Published - 9 Feb 2021

Keywords

analytic instability thresholds
folded Kerr resonators
arbitrary finesse
gain-circle technique
Ikeda instabilities

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10.1103/PhysRevA.103.023510

Firth-etal-PRA2021-Analytic-instability-thresholds-folded-Kerr-resonators-arbitrary-finesseAccepted author manuscript, 204 KB

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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.",

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AU - Firth, William J.

AU - Geddes, John B.

AU - Karst, Nathaniel J.

AU - Oppo, Gian-Luca

PY - 2021/2/9

Y1 - 2021/2/9

N2 - 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.

AB - 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.

KW - analytic instability thresholds

KW - folded Kerr resonators

KW - arbitrary finesse

KW - gain-circle technique

KW - Ikeda instabilities

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DO - 10.1103/PhysRevA.103.023510

M3 - Article

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 2

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ER -

Analytic instability thresholds in folded Kerr resonators of arbitrary finesse

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