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.
© 2012 Optical Society of America
Original Manuscript: May 11, 2012
Revised Manuscript: June 25, 2012
Manuscript Accepted: June 25, 2012
Published: July 25, 2012
Miguel González-Herráez, Sonia Martin-Lopez, and Luc Thévenaz, "Analytical expression of pulse broadening in an arbitrary linear slow light medium," Opt. Lett. 37, 3171-3173 (2012)