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For the case of 2D pointsource ray coordinates
the acoustic wave equation (6)
takes the form
 
(31) 
where, by definition,
 

 (32) 
The extrapolation axis is (oneway traveltime from the
source) and is the shooting angle at the source.
We can expand the parentheses in equation (31)
 
(33) 
and make the notations
 

 
 
 (34) 
from which the acoustic wave equation for
2D pointsource ray coordinates becomes:
 
(35) 
The 2D dispersion relation is
 
(36) 
from which we can obtain the oneway wave equation for
2D pointsource ray coordinates:
 
(37) 
C
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Stanford Exploration Project
10/14/2003