A model is developed for photoinduced absorption from localized states obse
rved in femtosecond pump-probe experiments in high-T-c, superconductors and
other materials. The dynamics of localized carriers are described in terms
of phenomenological approach similar to that originaly proposed by Rothwar
f and Taylor. Expanding the relaxation rate in powers of the order paramete
r we have shown that density of localized carriers is sensitive to T-c. Fro
m the analysis of the experimental data on YBa2Cu3O7-x and K0.3MoO3. We con
clude that significant intra-gap density of localized states exists in thes
e materials. Temperature dependence of the density of photoexcited localize
d carriers in underdoped YBa2Cu3O7-x and in K0.3MoO3 is consistent with the
observation of the pseudogap above T-c.