Superluminal pulse reflection is shown to occur in a class of one-dimension
al asymmetric photonic band gaps in which a spectral window inside the gap
is opened. By means of a coupled-mode equation analysis, we describe in det
ail two possible realizations of superluminal pulse reflection that can be
achieved using fiber Bragg gratings. The former method is based on the intr
oduction of a defect into the otherwise periodic dielectric structure, wher
eas the latter one exploits the interference of two closely-spaced resonanc
e modes and simulates the dispersion properties of an inverted medium posse
ssing a doublet line.