Saturation phenomenon research of fast light in a Tm3+-doped optical fiber at room temperature

The theoretical model and numerical simulations are established by the rate equation of thulium ion. Using the coherent population oscillation effect, we realize the controllable light velocity in the thulium doped fiber. We show that coherent population oscillations effect produces a very narrow spectral hole and anti-holes in the spectrum. The hole caused the amplitude modulation beam experience a large change of the group of refractive index, and makes us to achieve fast light propagation. Therefore, the pump intensity can be used as a control parameter to increase the fractional advance. In addition, we can confirm that the larger input intensity can lead to large time advancement, and saturation phenomenon of fast light exists in low frequency.