Following definition , and after explicitly
computing the *half-aperture* angle with equation ,
I have almost all the tools to compute the
P-incidence angle (),
and the S-reflection angle (). Snell's law, and the
P-to-S velocity ratio are the final two components for
this procedure. The final result of this process is
the mapping of the PS-ADCIGs, that are function of the half-aperture angle,
into two angle-gathers. The first one is a function
of the P-incidence angle, I refer to this angle gather as
P-ADCIG. The second angle-gather is a function of the
S-reflection angle to form an S-ADCIG.
After basic algebraic and trigonometric
manipulations, the final two expressions for this mapping are
(Appendix B):

(33) | ||

(34) |

12/14/2006