The central process in wave-equation-based depth migration is inverse
wavefield extrapolation. The commonly applied matched filter approach
to inverse wavefield extrapolation ignores the angle-dependent amplitu
de and phase distortions that are related to fine layering. This may r
esult in dispersed images and erroneous amplitude variation with angle
of incidence (AVA) effects. ''Power reciprocity'' formulates a relati
on between transmitted and reflected wavefields. It provides the basis
for a modified matched filter that does account for the aforementione
d distortions. The correction term by which the matched filter is modi
fied can be derived directly from the reflection data. With this modif
ied matched filter, prestack depth migration will yield nondispersed i
mages with correct AVA behavior.