A method of obtaining the complex change in dielectric constant DELTAe
psilon from values of the photoinduced change in reflection DELTAR/R a
nd transmission DELTAT/T measured via pump-probe spectroscopy is prese
nted. By solving Maxwell's equations perturbatively in the small DELTA
epsilon limit, we show that the nonuniformity of the pump absorption p
rofile must be taken into account in order to obtain an accurate measu
rement of DELTAepsilon. A method for removing artifacts due to thin-fi
lm interference fringes is also presented. The results are applied to
picosecond photomodulation studies of amorphous hydrogenated semicondu
ctor films.