Few-cycle optical solitary waves in nonlinear dispersive media

摘要

We study the propagation of few-cycle optical solitons in nonlinear media with an anomalous, but otherwisenarbitrary, dispersion and a cubic nonlinearity. Our approach does not derive from the slowly varying envelopenapproximation. The optical field is derived directly from Maxwell’s equations under the assumption thatngeneration of the third harmonic is a nonresonant process or at least cannot destroy the pulse prior to inevitablenlinear damping. The solitary wave solutions are obtained numerically up to nearly single-cycle duration usingnthe spectral renormalization method originally developed for the envelope solitons. The theory explicitlyndistinguishes contributions between the essential physical effects such as higher-order dispersion, self-steepening,nand backscattering, as well as quantifies their influence on ultrashort optical solitons.