A hierarchy of coupled mode and envelope models for bi-directional microresonators with Kerr nonlinearity
Optics
2020-05-21 v1 Pattern Formation and Solitons
Abstract
We consider interaction of counter-propagating waves in a bi-directionally pumped ring microresonator with Kerr nonlinearity. We introduce a hierarchy of the mode expansions and envelope functions evolving on different time scales set by the cavity linewidth and nonlinearity, dispersion, and repetition rate, and provide a detailed derivation of the corresponding hierarchy of the coupled mode and of the Lugiato-Lefever-like equations. An effect of the washout of the repetition rate frequencies from the equations governing dynamics of the counter-propagating waves is elaborated in details.
Keywords
Cite
@article{arxiv.2005.00677,
title = {A hierarchy of coupled mode and envelope models for bi-directional microresonators with Kerr nonlinearity},
author = {Dmitry V. Skryabin},
journal= {arXiv preprint arXiv:2005.00677},
year = {2020}
}
Comments
to appear in OSA Continuum