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One of the main sources of amplitude error is the finite bandwidth of the
depth (*k*_{z}) and offset (*k*_{h}) wavenumbers (Figure 4).
We apply RTT in the Fourier domain using Equations (20).
In practical terms, this transformation
amounts to a horizontal stretch of *k*_{h} at constant *k*_{z}.
However, since *k*_{z} and *k*_{h} are limited in range, we can correctly
evaluate the angle transformation only within a finite angle range
(). The maximum angles to which our transformation
is correct is a function of image sampling on offset and depth
(Figure 4).
can be evaluated from the data, but cannot be modified during
processing. We simply need to be aware of it and limit our analysis to
the proper angle range.
**khband
**

Figure 4 Truncation of the depth and offset wavenumber
bandwidths limits the range over which we can compute angle-gathers.
A *k*_{z}-*k*_{h} offset-gather (left panel) is transformed by RTT to a
angle-gather (right panel). is the maximum angle
for which the RTT is not affected by truncation of the *k*_{h} bandwidth.

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Stanford Exploration Project

4/30/2001