Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Self-synchronization phenomena in the Lugiato-Lefever equation

There are no MPG-Authors in the publication available
External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available

Taheri, H., Del'Haye, P., Eftekhar, A. A., Wiesenfeld, K., & Adibi, A. (2017). Self-synchronization phenomena in the Lugiato-Lefever equation. Physical Review A, 96(1): 013828. doi:10.1103/PhysRevA.96.013828.

Cite as: https://hdl.handle.net/21.11116/0000-0006-5502-8
The damped driven nonlinear Schrodinger equation (NLSE) has been used to understand a range of physical phenomena in diverse systems. Studying this equation in the context of optical hyperparametric oscillators in anomalous-dispersion dissipative cavities, where NLSE is usually referred to as the Lugiato-Lefever equation, we are led to a reduced nonlinear oscillator model that uncovers the essence of the spontaneous creation of sharply peaked pulses in optical resonators. We identify attracting solutions for this model, which correspond to stable cavity solitons and Turing patterns, and study their degree of stability. The reduced model embodies the fundamental connection between mode synchronization and spatiotemporal pattern formation and represents a class of self-synchronization processes in which coupling between nonlinear oscillators is governed by energy and momentum conservation.