The reflected pulses from the Strained Saturable Bragg Reflector (SSBR) at several wavelengths were studied using the Frequency Resolved Optical Gating (FROG) technique and incident pulses with zero, positive, or negative chirp. On the long wavelength side of the exciton resonance, weak wavelength-dependent chirp due to material disperion of the SSBR results in pulse broadening. Strong pulse shortening near the excitonic resonance was observed and attributed to anomalous dispersion due to the resonance absorption.