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Coupled Lugiato-Lefever equation for nonlinear frequency comb generation at an avoided crossing of a microresonator

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Abstract

Guided-mode coupling in a microresonator generally manifests itself through avoided crossings of the corresponding resonances. This coupling can strongly modify the resonator local effective dispersion by creating two branches that have dispersions of opposite sign in spectral regions that would otherwise be characterized by either positive (normal) or negative (anomalous) dispersion. In this paper, we study, both analytically and computationally, the general properties of nonlinear frequency comb generation at an avoided crossing using the coupled Lugiato-Lefever equation. In particular, we find that bright solitons and broadband frequency combs can be excited when both branches are pumped for a suitable choice of the pump powers and the detuning parameters. A deterministic path for soliton generation is found.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, 78712, Texas, USA

    Giuseppe D’Aguanno

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

    Curtis R. Menyuk

Authors
  1. Giuseppe D’Aguanno
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  2. Curtis R. Menyuk
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Correspondence to Giuseppe D’Aguanno.

Additional information

Contribution to the Topical Issue “Theory and applications of the Lugiato-Lefever Equation”, edited by Yanne K. Chembo, Damia Gomila, Mustapha Tlidi, Curtis R. Menyuk.

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D’Aguanno, G., Menyuk, C.R. Coupled Lugiato-Lefever equation for nonlinear frequency comb generation at an avoided crossing of a microresonator. Eur. Phys. J. D 71, 74 (2017). https://doi.org/10.1140/epjd/e2017-70705-x

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  • DOI: https://doi.org/10.1140/epjd/e2017-70705-x

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