WIAS Preprint No. 1733, (2012)

Spatio-temporal pulse propagation in nonlinear dispersive optical media


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

2010 Mathematics Subject Classification

  • 78A60 35Q60 35Q55

2008 Physics and Astronomy Classification Scheme

  • 42.65.Re 42.65.St 42.65.Tg 02.30.Mw 52.35.Mw


  • Ultrashort pulses, Nonlinear Schrödinger Equation, Filaments




We discuss state-of-art approaches to modeling of propagation of ultrashort optical pulses in one and three spatial dimensions.We operate with the analytic signal formulation for the electric field rather than using the slowly varying envelope approximation, because the latter becomes questionable for few-cycle pulses. Suitable propagation models are naturally derived in terms of unidirectional approximation.

Appeared in

  • Opt. Quantum Electron., 45 (2013) pp. 727--733.

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