Observation of Arnold Tongues in Coupled Soliton Kerr Frequency Combs

Jae K. Jang, Xingchen Ji, Chaitanya Joshi, Yoshitomo Okawachi, Michal Lipson, and Alexander L. Gaeta
Phys. Rev. Lett. 123, 153901 – Published 9 October 2019
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Abstract

We demonstrate various regimes of synchronization in systems of two coupled cavity soliton-based Kerr frequency combs. We show subharmonic, harmonic, and harmonic-ratio synchronization of coupled microresonators, and reveal their dynamics in the form of Arnold tongues, structures that are ubiquitous in nonlinear dynamical systems. Our experimental results are well corroborated by numerical simulations based on coupled Lugiato-Lefever equations. This Letter illustrates the newfound degree of flexibility in synchronizing Kerr combs across a wide range of comb spacings and could find applications in time and frequency metrology, spectroscopy, microwave photonics, optical communications, and astronomy.

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  • Received 9 July 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.153901

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalNonlinear Dynamics

Authors & Affiliations

Jae K. Jang1, Xingchen Ji2,3, Chaitanya Joshi1,4, Yoshitomo Okawachi1, Michal Lipson1,3, and Alexander L. Gaeta1,3,*

  • 1Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York 10027, USA
  • 2School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14853, USA
  • 3Department of Electrical Engineering, Columbia University, New York, New York 10027, USA
  • 4School of Applied and Engineering Physics, Cornell University, Ithaca, New York 14853, USA

  • *Corresponding author. alg2207@columbia.edu

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Issue

Vol. 123, Iss. 15 — 11 October 2019

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