WIAS Preprint No. 2480, (2018)

Effect of Cherenkov radiation on localized states interaction



Authors

  • Vladimirov, Andrei G.
  • Gurevich, Svetlana V.
  • Tlidi, Mustapha

2010 Mathematics Subject Classification

  • 78A60 35Q55 35Q60

2008 Physics and Astronomy Classification Scheme

  • 42.81.Dp 42.65.Sf 42.65.Tg

Keywords

  • Dissipative optical solitons, Lugiato--Lefever equation, Kerr cavity, fiber cavity, optical microcavity, optical frequency comb

DOI

10.20347/WIAS.PREPRINT.2480

Abstract

We study theoretically the interaction of temporal localized states in all fiber cavities and microresonator-based optical frequency comb generators. We show that Cherenkov radiation emitted in the presence of third order dispersion breaks the symmetry of the localized structrures interaction and greatly enlarges their interaction range thus facilitating the experimental observation of the dissipative soliton bound states. Analytical derivation of the reduced equations governing slow time evolution of the positions of two interacting localized states in a generalized Lugiato--Lefever model with the third order dispersion term is performed. Numerical solutions of the model equation are in close agreement with analytical predictions.

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