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We define ``true-amplitude'' migration as the process of
recovering the amplitude of the reflectivity vector
given perfect data, infinite bandwidth and aperture.
The expression for the true-amplitude migration operator is

| |
(12) |

which we can immediate verify to be inverse to modeling using
Equation (9):
| |
(13) |

Even in the simple case of layered media, the operator is
singular for evanescent waves propagating at the surface,
and null, thus not invertible, for evanescent waves at depth.
As discussed in the preceding section, we are not interested in the
evanescent energy, and thus we are not even trying to invert for those wavefield components.

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Stanford Exploration Project

4/30/2001