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Critical dynamics of an asymmetrically bidirectionally pumped optical microresonator

Silver, J., Grattan, K. T. V. ORCID: 0000-0003-2250-3832 and Del'Haye, P. (2021). Critical dynamics of an asymmetrically bidirectionally pumped optical microresonator. Physical Review A, 104(4), 043511. doi: 10.1103/PhysRevA.104.043511

Abstract

An optical ring resonator with third-order, or Kerr, nonlinearity will exhibit symmetry breaking between the two counterpropagating circulating powers when pumped with sufficient power in both the clockwise and counterclockwise directions. This is due to the effects of self- and cross-phase modulation on the resonance frequencies in the two directions. The critical point of this symmetry breaking exhibits universal behaviors including divergent responsivity to external perturbations, critical slowing down, and scaling invariance. Here we derive a model for the critical dynamics of this system, first for a symmetrically-pumped resonator and then for the general case of asymmetric pumping conditions and self- and cross-phase modulation coefficients. This theory not only provides a detailed understanding of the dynamical response of critical-point-enhanced optical gyroscopes and near-field sensors, but is also applicable to nonlinear critical points in a wide range of systems.

Publication Type: Article
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Departments: School of Mathematics, Computer Science & Engineering > Engineering > Electrical & Electronic Engineering
Date available in CRO: 15 Dec 2021 15:58
Date deposited: 15 December 2021
Date of acceptance: 27 April 2021
Date of first online publication: 12 October 2021
URI: https://openaccess.city.ac.uk/id/eprint/27302
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