WIAS Preprint No. 2343, (2016)

Asymptotically stable compensation of soliton self-frequency shift


  • Pickartz, Sabrina
  • Bandelow, Uwe
    ORCID: 0000-0003-3677-2347
  • Amiranashvili, Shalva
    ORCID: 0000-0002-8132-882X

2010 Mathematics Subject Classification

  • 78A60 35Q60 70H11

2010 Physics and Astronomy Classification Scheme

  • 42.65.-k, 42.81.Dp, 05.45.Yv, 03.65.Nk


  • Soliton self-frequency shift, Raman scattering, Soliton perturbation theory, Event horizons




We report the cancellation of the soliton self-frequency shift in nonlinear optical fibers. A soliton which interacts with a group velocity matched low intensity dispersive pump pulse, experiences a continuous blue-shift in frequency, which counteracts the soliton selffrequency shift due to Raman scattering. The soliton self-frequency shift can be fully compensated by a suitably prepared dispersive wave.We quantify this kind of soliton-dispersive wave interaction by an adiabatic approach and demonstrate that the compensation is stable in agreement with numerical simulations.

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