The differential transmission signal (DTS) of a pump-probe transmissio
n experiment on the GaAs/AlGaAs superlattice is calculated using the e
ffective semiconductor Bloch equation and by assuming that the main me
chanism of the relaxation for a low carrier density is the carrier LO-
phonon scattering. From the theoretical analysis of the DTS signal, th
e intrasubband and intersubband relaxation times of the carriers which
are excited optically to the second miniband are estimated. The resul
ts are compared to those of recent femtosecond pump-probe experiments
on the GaAs/AlGaAs superlattice.