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Thermo-optical dynamics in injected Kerr micro-cavities with strong time-delayed feedback

Author

Listed:
  • Koch, Elias R.
  • Greve, Daniel
  • Javaloyes, Julien
  • Gurevich, Svetlana V.

Abstract

We investigate the impact of slow thermal effects on the dynamics of vertically emitting Kerr micro-cavities under detuned optical injection. Our model incorporates thermal detuning caused by refractive index shifts due to heating. Through numerical and analytical approaches, we uncover a rich spectrum of dynamical phenomena, including excitable thermo-optical pulses, mixed-mode oscillations, and chaotic spiking, governed by a higher-dimensional canard scenario. Introducing a long external feedback loop with time delay comparable to the micro-cavity photon lifetime but shorter than thermal relaxation time-scales, we demonstrate how temporal localized states are subjected to slanted snaking in the presence of thermal effects. A multiple time-scale analysis performed in the mean field limit shows that the slow evolution of the system is captured by a Lugiato–Lefever equation with third-order dispersion coupled to a non-local heat equation, responsible for the slanting.

Suggested Citation

  • Koch, Elias R. & Greve, Daniel & Javaloyes, Julien & Gurevich, Svetlana V., 2026. "Thermo-optical dynamics in injected Kerr micro-cavities with strong time-delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p2:s096007792501608x
    DOI: 10.1016/j.chaos.2025.117595
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    References listed on IDEAS

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    1. Th. Udem & R. Holzwarth & T. W. Hänsch, 2002. "Optical frequency metrology," Nature, Nature, vol. 416(6877), pages 233-237, March.
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