Models for optical solitons in the two-cycle regime

Herve Leblond; Francois Sanchez

doi:10.1103/physreva.67.013804

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Models for optical solitons in the two-cycle regime

Herve Leblond·Francois Sanchez

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Abstract

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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Herve Leblond, Francois Sanchez. 2004-11-04. Models for optical solitons in the two-cycle regime. https://doi.org/10.1103/physreva.67.013804

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