Models for optical solitons in the two-cycle regime

Details Models for optical solitons in the two-cycle regime Models for optical solitons in the two-cycle regime

2004-11-04

arxiv.org/abs/nlin/0411010v1

Physical Review A 67 (2003) 013804

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevA.67.013804

We derive model equations for optical pulse propagation in a medium described by a two-level Hamiltonian, without the use of the slowly varying envelope approximation. Assuming that the resonance frequency of the two-level atoms is either well above or well below the inverse of the characteristic duration of the pulse, we reduce the propagation problem to a modified Korteweg-de Vries or a sine-Gordon equation. We exhibit analytical solutions of these equations which are rather close in shape and spectrum to pulses in the two-cycle regime produced experimentally, which shows that soliton-type propagation of the latter can be envisaged.

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