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In this Appendix we derive the relationships
between the ray parameters
of the -rays reflected from a planar dipping reflector,
and the ray parameters of the incident rays.
We start by the equivalent relationship for *z*-rays.
The ray parameters of the reflected *z*-ray
are related to the ray parameters of the incident *z*-rays
as follows:

where is the dip angle of the reflector.

The ray parameters of the -rays are related to the ray parameters
of the *z*-rays by

Substituting equation 22 into
equation 21 we get

The dip of a reflector in depth
is related to the time-dip angle
by

| |
(24) |

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Stanford Exploration Project

10/10/1997