  We report conventional and time-resolved infrared spectroscopy on
LaFeAsO$_{1-x}$F$_x$ superconducting thin films. The far-infrared transmission
can be quantitatively explained by a two-component model including a
conventional s-wave superconducting term and a Drude term, suggesting at least
one carrier system has a full superconducting gap. Photo-induced studies of
excess quasiparticle dynamics reveal a nanosecond effective recombination time
and temperature dependence that agree with a recombination bottleneck in the
presence of a full gap. The two experiments provide consistent evidence of a
full, nodeless though not necessarily isotropic, gap for at least one carrier
system in LaFeAsO$_{1-x}$F$_x$.
