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arXiv · 1412.0119

Self-organization in soliton modelocked parametric frequency combs

Y. Henry Wen·Michael R. E. Lamont·Isabel M. Kloumann·Steven H. Strogatz·Alexander L. Gaeta
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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.

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Y. Henry Wen, Michael R. E. Lamont, Isabel M. Kloumann, Steven H. Strogatz, Alexander L. Gaeta. 2014-11-29. Self-organization in soliton modelocked parametric frequency combs. https://doi.org/10.1103/physreva.94.063843

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