Spatiotemporal Lugiato-Lefever formalism for Kerr-comb generation in whispering-gallery-mode resonators

Yanne K. Chembo and Curtis R. Menyuk
Phys. Rev. A 87, 053852 – Published 31 May 2013

Abstract

We demonstrate that frequency (Kerr) comb generation in whispering-gallery-mode resonators can be modeled by a variant of the Lugiato-Lefever equation that includes higher-order dispersion and nonlinearity. This spatiotemporal model allows us to explore pulse formation in which a large number of modes interact cooperatively. Pulse formation is shown to play a critical role in comb generation, and we find conditions under which single pulses (dissipative solitons) and multiple pulses (rolls) form. We show that a broadband comb is the spectral signature of a dissipative soliton, and we also show that these solitons can be obtained by using a weak anomalous dispersion and subcritical pumping.

  • Received 9 October 2012

DOI:https://doi.org/10.1103/PhysRevA.87.053852

©2013 American Physical Society

Authors & Affiliations

Yanne K. Chembo*

  • Optics Department, FEMTO-ST Institute [CNRS UMR6174], 16 Route de Gray, 25030 Besançon cedex, France

Curtis R. Menyuk

  • Department of Computer Science and Electrical Engineering, University of Maryland, 1000 Hilltop Circle, Baltimore, Maryland 21250, USA

  • *yanne.chembo@femto-st.fr

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Issue

Vol. 87, Iss. 5 — May 2013

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