A taxonomy of optical dissipative structures in whispering-gallery mode resonators with Kerr nonlinearity.

Philos Trans A Math Phys Eng Sci

FEMTO-ST Institute, Univ. Bourgogne Franche-Comté, CNRS, Optics Department, 15B Avenue des Montboucons, 25030 Besançon cedex, France

Published: July 2018

AI Article Synopsis

  • The paper reviews research on optical dissipative structures in Kerr-nonlinear whispering-gallery mode resonators, which are influenced by continuous-wave laser pumping.
  • The Lugiato-Lefever model is used to analyze how various patterns, like Turing rolls and solitons, form within these systems based on factors such as laser power and frequency.
  • Bifurcation analysis helps classify these patterns and identify their basins of attraction, contributing to the broader theme of dissipative structures in different fields.

Article Abstract

In this paper, the research related to the formation of optical dissipative structures in Kerr-nonlinear whispering-gallery mode resonators pumped with continuous-wave lasers is reviewed. Pattern formation in these systems can be analysed using the paradigmatic Lugiato-Lefever model, which is a partial differential equation ruling the dynamics of the intra-cavity laser field. Various dissipative structures such as Turing rolls, solitons, breathers and spatio-temporal chaos can emerge in the resonator depending on the laser power and frequency. The bifurcation analysis enables a classification of these patterns, and also permits identification of their basins of attraction.This article is part of the theme issue 'Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 1)'.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6000152PMC
http://dx.doi.org/10.1098/rsta.2017.0381DOI Listing

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