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Following definition 3, and after explicitly
computing the fullaperture angle with equation 4,
we have almost all the tools to explicitly separate the
fullaperture angle into its two components, the Pincidence angle (),
and the Sreflection angle (). Snell's law, and the
PtoS velocity ratio are the final components for
this procedure. After basic algebraic and trigonometric
manipulations, the final expressions for both of the independent angles
are
 

 (5) 
This is clearly a nonlinear relation among the angles.
The main purpose of this set of equations is
to observe and analyze the kinematics of the
Pincidence wave, and the Sreflected wave. This
analysis might lead to estimates of independent velocity
perturbations for both the Pvelocity model and the
Svelocity model.
The following section describes the
proposed methodology to implement both
equation 4 and system 5
Next: Implementation
Up: Transformation to the angle
Previous: Transformation to the angle
Stanford Exploration Project
4/5/2006