A model equation for ultrashort optical pulses
- Amiranashvili, Shalva
- Vladimirov, Andrei G.
- Bandelow, Uwe
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.
- Eur. Phys. J. D, 58 (2010) pp. 219--226.