We theoretically demonstrate in a Raman slow light medium enabling picosecond optical delay that both the dispersion-induced pulse walk-off and the cross-phase modulation-induced frequency chirp can be fully controlled by slow light.
We theoretically investigate slow light via stimulated Raman scattering, paying special attention to the picosecond regime where chromatic dispersion and cross-phase modulation must be considered. In addition to the control of the Raman pulse walk-off, we demonstrate that the cross-phase-modulation-induced frequency chirp can also be all-optically tuned via Raman slow light. We further demonstrate that this new implication is a consequence of the fact that the group velocity is significantly more affected than the phase velocity in slow-light media.
Slow and fast light (SFL) in nonlinear media has attracted considerable interest for several years and has been observed in plenty of configurations. It generally requires a sharp spectral resonance which in turn results in a strong change of the group velocity at the resonance, thus leading to optical delaying or advancement. SFL has also been observed in optical fibres by taking advantage of the parametric gain, stimulated Brillouin or Raman scattering, leading to the development of all-optical tunable fiber-based delay lines at telecommunication wavelengths. But the implications of SFL go well beyond pulse delaying or advancement. As the group and phase velocities have to be distinguished one from another in a slow-light medium, this can have other important implications, in particular on the pulse walk-off or on the frequency chirp. We recently demonstrated in a Raman medium with normal dispersion that pulse walk-off between the pump and the signal can be cancelled out despite the large frequency detuning, leading to an increasing interaction length and enhancement Raman conversion efficiency.
We consider the propagation of a light pulse in a medium with a single resonance. If the frequency of the pulse is tuned far from resonance and the pulse duration is much shorter than the lifetime of the excited state of the resonant particles in the medium (atoms in a gas, impurity ions in a solid, etc.), the group velocity of the pulse is appreciably reduced. It is shown that the slowing down of the group velocity of the pulse is accompanied with a pulse chirp, which produces a pulse broadening in time. It is proposed to use two samples in sequence with opposite chirps (up chirp and down chirp or vice versa) compensating the pulse broadening. Then the pulse can be delayed with almost no losses, distortion, and broadening. However, there is a maximum distance, beyond which the pulse experiences corruption. Pumping with an auxiliary laser beam can control the delay time of the light pulse in the medium. Conditions to eliminate the contribution of the dephasing processes in the pulse propagation are considered.
The control of the group velocity of optical signals has been widely demonstrated using various optical phenomena and different media. Slow and fast light is achieved in a controllable manner by modifying the refractive index dispersion through light induced modifications of the material or the structural properties of the medium. The potential for a continuous tuning of the phase or time delay of broadband microwave signals modulating the optical carrier opens previously unexplored horizons. The talk will review the recent advancements and the future directions of slow and fast light research with an emphasis on microwave-photonics applications.