We present a theoretical model to analyze the hot carrier and hot phon
on effect on the modulation response of semiconductor quantum well las
ers. We find that the carrier heating strongly depends on the energy r
elaxation time of carriers and the lifetime of longitudinal-optic (LO)
phonons. Furthermore, the carrier heating will significantly decrease
the differential gain and increase the nonlinear gain coefficient and
thus reduce the modulation bandwidth. From the numerical result, we d
emonstrate the bottleneck effect of the hot LO phonons on the modulati
on response of quantum well lasers. This implies that reducing the lif
etime of LO phonons, for example, by doping in the quantum well, will
most effectively decrease the carrier temperature and thus improve the
modulation bandwidth.