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26)
 Using the kinematics of the transformation to the angle domain
(equation (10))
and the equations of the migration impulse response
(equations (1) and (3)),
 
(40) 
 (41) 

Differentiating the equality L_{s}S_{s}+L_{r}S_{r}=t_{D} with respect to
S_{s},
 
(42) 
 (43) 
Using the simple geometric relationship , we eventually get
 
(44) 
From the geometric relationship , we
similarly show
 
(45) 
Next: Derivation of equation (29)
Up: Derivation of the derivative
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Stanford Exploration Project
4/6/2006