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arXiv · 2005.00677

A hierarchy of coupled mode and envelope models for bi-directional microresonators with Kerr nonlinearity

Dmitry V. Skryabin
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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.

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Dmitry V. Skryabin. 2020-05-02. A hierarchy of coupled mode and envelope models for bi-directional microresonators with Kerr nonlinearity. https://doi.org/10.1364/osac.392211

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