We report on the spectroscopy in a resonant vapor film, in a regime in whic
h the inhomogeneous transit time induces a velocity selection. For cell thi
ckness (10-1000 mu m) smaller than the transverse dimensions and for low en
ough atomic density, the atomic trajectories are essentially free flights f
rom wall to wall. Hence, a single laser beam irradiation is sufficient to o
bserve sub-Doppler resonances because of the transient atomic response, whi
ch enhances the response of the slowest atoms flying nearly parallel to the
wall. The peculiar features of this velocity selection an presented in the
linear regime as well as in the case of saturation induced by the optical
pumping. Also, we report, in the case of the Cs D-2 line (852 nm), on the p
assage from a two-level linear-response regime to an optical pumping regime
when increasing the incident intensity. We also describe the influence of
several other parameters, including cell thickness and laser beam size and
shape, on the experimental line shapes. An extension to Doppler-free polari
zation spectroscopy in a thin cell with a single beam, and to saturated abs
orption, is also reported. [S1050-2947(99)03105-4].