WIAS Preprint No. 1348, (2008)

A model equation for ultrashort optical pulses


  • Amiranashvili, Shalva
    ORCID: 0000-0002-8132-882X
  • Vladimirov, Andrei G.
    ORCID: 0000-0002-8132-882X
  • Bandelow, Uwe
    ORCID: 0000-0003-3677-2347

2010 Mathematics Subject Classification

  • 78A60 35Q60

2008 Physics and Astronomy Classification Scheme

  • 42.65.Re 42.81.Dp 42.65.Tg 05.45.Yv


  • ultrashort pulses, few-cycle pulses




The nonlinear Schrödinger equation based on the Taylor approximation of the material dispersion can become invalid for ultrashort and few-cycle optical pulses. Instead, we use a rational fit to the dispersion function such that the resonances are naturally accounted for. This approach allows us to derive a simple non-envelope model for short pulses propagating in one spatial dimension. This model is further investigated numerically and analytically.

Appeared in

  • Eur. Phys. J. D, 58 (2010) pp. 219--226.

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