  We examine the reprocessing of X-ray radiation from compact objects by
accretion disks when the X-ray emission from the star is highly beamed. The
reprocessed flux for various degrees of beaming and inclinations of the beam
axis with respect to the disk is determined. We find that, in the case where
the beam is produced by a non-relativistic object, the intensity of the emitted
spectrum is highly suppressed if the beam is pointing away from the disk.
However, for beams produced by compact objects, general relativistic effects
cause only a small reduction in the reradiated flux even for very narrow beams
oriented perpendicularly to the disk. This is especially relevant in
constraining models for the anomalous X-ray pulsars, whose X-ray emission is
highly beamed. We further discuss other factors that can influence the emission
from disks around neutron stars.
