It is pointed out that the Poynting flux associated with the retarded
electromagnetic field of a uniformly accelerated charge found in the l
iterature has a puzzling feature; its transverse component is oriented
toward the charge at any point on the null surface to which the charg
e's world line approaches asymptotically in the past. We resolve this
puzzle by considering a charge which is smoothly brought into the stat
e of uniform acceleration from the state of inertial motion in the inf
inite past. We also elucidate the physical origin of delta-function te
rms contained in the above-mentioned field. (C) 1995 Academic Press, I
nc.