(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2012) Amiranashvili, Shalva; Bandelow, Uwe; Akhmediev, Nail
We study the propagation of few-cycle optical solitons in nonlinear
media with an anomalous, but otherwise arbitrary, dispersion and a cubic
nonlinearity. Our theory extends beyond the slowly varying envelope
approximation. The optical field is derived directly from the Maxwell
equations under the assumption that generation of the third harmonic is a
non-resonant process or at least cannot destroy the pulse prior to inevitable
linear damping. The solitary wave solutions are obtained numerically up to
nearly single-cycle duration using a modification of the spectral
renormalisation method originally developed for the envelope solitons.
