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Abstract

We investigate the nonlinear dynamics of vertically emitting Kerr microcavities under detuned optical injection, considering the impact of slow thermal effects. Our model integrates thermal detuning caused by refractive index shifts due to heating. Through numerical and analytical approaches, we uncover a rich spectrum of dynamical behaviors, 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 delays comparable to the microcavity photon lifetime but shorter than thermal relaxation timescales, reveals how delay affects excitability and stabilizes temporal localized states. Our findings extend the understanding of excitable systems, demonstrating how thermal and feedback mechanisms interplay to shape nonlinear optical dynamics. Further, our approach paves the way for the study of cavity stabilization and cavity cooling using an additional control beam.

Details

1009240
Title
Thermo-optical spiking and mixed-mode oscillations in injected Kerr microcavities
Publication title
arXiv.org; Ithaca
Publication year
2024
Publication date
Dec 3, 2024
Section
Nonlinear Sciences; Physics (Other)
Publisher
Cornell University Library, arXiv.org
Source
arXiv.org
Place of publication
Ithaca
Country of publication
United States
University/institution
Cornell University Library arXiv.org
e-ISSN
2331-8422
Source type
Working Paper
Language of publication
English
Document type
Working Paper
Publication history
 
 
Online publication date
2024-12-04
Milestone dates
2024-12-03 (Submission v1)
Publication history
 
 
   First posting date
04 Dec 2024
ProQuest document ID
3140663851
Document URL
https://www.proquest.com/working-papers/thermo-optical-spiking-mixed-mode-oscillations/docview/3140663851/se-2?accountid=208611
Full text outside of ProQuest
Copyright
© 2024. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2024-12-05
Database
2 databases
  • ProQuest One Academic
  • ProQuest One Academic