Chiral sculptured thin films (STFs) have unidirectionally periodic electromagneticconstitutive properties and therefore exhibit the circular Bragg phenomenon.The time-domainMaxwell equations are solved using finite difference calculusin order to establish the spatiotemporal anatomy of the actionof axially excited, chiral STF slabs on optical narrow-extentpulses (NEPs)modulating circularly polarized carrier waves. A Lorentzianmodel was adopted for the permittivity dyadics of thechiral STFs. The time-domain manifestationof the circular Bragg phenomenon is focussed on.First, onexamining the refraction of NEPs by a chiral STF half-space,a light pipe and the pulse bleeding phenomenonare shown to occur -when the handednesses of the carrier waveand the chiral STF coincide and the carrier wavelength is in thevicinity of the center-wavelength of the Bragg regime. Next, pulse bleedinginside a chiral STF slab is shown to be responsible for thelong wakes of reflected pulses and low energy contents of transmitted pulses,when the incident wave spectrums significantlyoverlap with the Bragg regime and the carrier waveshave the same handedness as the chiral STF slab. Thus,a chiral STF slab can drasticallyaffect the shapes, amplitudes, and spectralcomponents of femtosecond pulses.