We derive an analytical expression for the broadening of a Gaussian input pulse in an arbitrary linear slow light medium. The expression consists of two terms, one corresponding to amplitude broadening (low-pass filtering of the pulse bandwidth) and another corresponding to phase broadening (phase dispersion around the resonance). It is shown that for a Lorentzian gain profile, the amplitude broadening is dominant at small fractional delays. However, for large fractional delays, phase broadening is inevitably dominate.
David Andrew Barry, Andrea Rinaldo, Paolo Perona, Seifeddine Jomaa, Mohsen Cheraghi, Andrea Cimatoribus
Pramod Rastogi, Rishikesh Dilip Kulkarni