Circularly polarized fewopticalcycle solitons in the shortwaveapproximation regime
Abstract
We consider the propagation of fewcycle pulses (FCPs) beyond the slowly varying envelope approximation in media in which the dynamics of constituent atoms is described by a twolevel Hamiltonian by taking into account the wave polarization. We consider the shortwave approximation, assuming that the resonance frequency of the twolevel atoms is well below the inverse of the characteristic duration of the optical pulse. By using the reductive perturbation method (multiscale analysis), we derive from the MaxwellBlochHeisenberg equations the governing evolution equations for the two polarization components of the electric field in the first order of the perturbation approach. We show that propagation of circularly polarized (CP) fewopticalcycle solitons is described by a system of coupled nonlinear equations, which reduces in the scalar case to the standard sine Gordon equation describing the dynamics of linearly polarized FCPs in the shortwaveapproximation regime. By direct numerical simulations, we calculate the lifetime of CP FCPs, and we study the transition to two orthogonally polarized singlehumped pulses as a generic route of their instability.
 Publication:

Physical Review A
 Pub Date:
 August 2011
 DOI:
 10.1103/PhysRevA.84.023833
 Bibcode:
 2011PhRvA..84b3833L
 Keywords:

 42.65.Tg;
 42.65.Re;
 05.45.Yv;
 Optical solitons;
 nonlinear guided waves;
 Ultrafast processes;
 optical pulse generation and pulse compression;
 Solitons