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Ga ussian pulse is almost 45% less than that of the sinc pulse due to the fact that the spectral ba ndwidth of the Gaussian pulse is less than that of the sinc-shaped pulse for identical F WHM temporal pulse widths. Gaussian pulses therefore appear to be advantageous for limiting cross-talk between closely-spaced pulses. Furthermore, the effects of propagation on Ga ussian pulses can be determined analytically, which allows for additional insight into the me chanisms responsible for distortion. 

## 5. Conclusions 

We measure the group index spectrum of a warm Rubidium vapor in a multipass geometry using a monochromatic laser source in the vicinity of the D1 and D2 lines as well as the medium’s pulse response using ultrashort pulses on the order of several hundred femtosec- onds. We demonstrate that calculations involving a simple, Lorentzian frequency profile for 

