Spontaneous symmetry breaking, oscillations, and chaotic regimes in bidirectionally-pumped ring resonators

Michael T.M. Woodley, Jonathan M. Silver, Lewis Hill, François Copie, Leonardo Del Bino, Shuangyou Zhang, Gian Luca Oppo, Pascal Del'Haye

Research output: Chapter in Book/Report/Conference proceedingConference contribution book


Spontaneous symmetry breaking has been recently demonstrated experimentally in bidirectionally-pumped dielectric microresonators [1,2]. This process is mediated by cross-phase modulation due to the Kerr nonlinearity. We present comprehensive analytical and dynamical models for this symmetry breaking, with novel results in both time-dependent and time-independent cases, including chaos. The time-dependent system is described by the following pair of dimensionless coupled equations: (Equation presented) wherein ē1,2 are the (clockwise or counterclockwise) electric field amplitudes sent to the cavity, e1,2 are the (clockwise or counterclockwise) electric field amplitudes coupled into the cavity, and ∆ is the normalised detuning of the laser with respect to the non-Kerr-shifted cavity resonant frequency.

Original languageEnglish
Title of host publication2019 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC) , EQEC_2019
PublisherThe Optical Society
Number of pages1
ISBN (Electronic)9781557528209
ISBN (Print)9781728104706
Publication statusPublished - 27 Jun 2019
EventEuropean Quantum Electronics Conference, EQEC_2019 - Munich, United Kingdom
Duration: 23 Jun 201927 Jun 2019

Publication series

NameOptics InfoBase Conference Papers
VolumePart F143-EQEC 2019


ConferenceEuropean Quantum Electronics Conference, EQEC_2019
Country/TerritoryUnited Kingdom


  • oscillators
  • modulation
  • optical ring resonators
  • microcavities
  • cavity resonators
  • photonics
  • laser cavity resonators
  • micromechanical resonators
  • micro-optomechanical devices
  • optical chaos
  • optical Kerr effect
  • optical modulation
  • optical pumping
  • phase modulation


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