Self-synchronization of Kerr-nonlinear Optical Parametric Oscillators
Pattern Formation and Solitons
2016-03-01 v1
Abstract
We introduce a new, reduced nonlinear oscillator model governing the spontaneous creation of sharp pulses in a damped, driven, cubic nonlinear Schroedinger equation. The reduced model embodies the fundamental connection between mode synchronization and spatiotemporal pulse formation. We identify attracting solutions corresponding to stable cavity solitons and Turing patterns. Viewed in the optical context, our results explain the recently reported and steps in the phase spectrum of microresonator-based optical frequency combs.
Cite
@article{arxiv.1602.08523,
title = {Self-synchronization of Kerr-nonlinear Optical Parametric Oscillators},
author = {Hossein Taheri and Pascal Del'Haye and Ali A. Eftekhar and Kurt Wiesenfeld and Ali Adibi},
journal= {arXiv preprint arXiv:1602.08523},
year = {2016}
}