Thin layer filtering and the O'Doherty-Anstey approximation
, by Niki Serakiotou

Plane waves are normally incident on a sequence of horizontal layers. If the layers are
lossless the shape of the frequency spetrum of the reflection response depends on the
reflection coefficient series. The law of dependence can be found by solving the wave
equation for the boundary and initial conditions of the seismic experiment. The O'Doherty-
Anstey formula is an approximation to this law, and its validity would imply a lowpass
spectrum of the reflection response if the reflectivity power spectrum has a highpass trend.