In conventional prestack imaging as in shot profile imaging Claerbout (1985), the reflectivity is obtained by deconvolving the downgoing wave field from the upcoming wave field in the domain as follows:

(50) |

(51) |

Since we performed the deconvolution in the domain
by dividing the source wave from received wave in equation (),
we implicitly assumed the reflectivity matrix *R* is a diagonal matrix.
The diagonality of the reflectivity matrix *R* implies locally reacting
reflection coefficient. If we assume that source wave field
acts like a planewave locally at reflector, the imaging condition
used in the profile imaging will produce the reflection coefficient of
the angle that corresponds to the local incidence angle of the source
wave field at each point of the subsurface.

2/5/2001