Self-organization in soliton modelocked parametric frequency combs
Abstract
We show that self-organization occurs in the phase dynamics of soliton modelocking in paramet- ric frequency combs. Reduction of the Lugiato-Lefever equation (LLE) to a simpler set of phase equations reveals that this self-organization arises via mechanisms akin to those in the Kuramoto model for synchronization of coupled oscillators. In addition, our simulations show that the phase equations evolve to a broadband phase-locked state, analogous to the soliton formation process in the LLE. Our simplified equations intuitively explain the origin of the pump phase offset in soliton- modelocked parametric frequency combs. They also predict that the phase of the intracavity field undergoes an anti-symmetrization that precedes phase synchronization, and they clarify the role of chaotic states in soliton formation in parametric combs.
Cite
@article{arxiv.1412.0119,
title = {Self-organization in soliton modelocked parametric frequency combs},
author = {Y. Henry Wen and Michael R. E. Lamont and Isabel M. Kloumann and Steven H. Strogatz and Alexander L. Gaeta},
journal= {arXiv preprint arXiv:1412.0119},
year = {2016}
}