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We presented an explicit depth migration method which is unconditionally
stable. This explicit depth-migration scheme is stable even
in the case of lateral velocity variation.
For 15-degree depth migration, its impulse
responses are comparable in accuracy to those produced by the implicit scheme
of Crank-Nicholson approximation.
To get a more accurate operator at steep dip we can add more terms
in the Taylor expansion of the square-root operator and
it results in a matrix with thicker bands than a tridiagonal matrix.
In such case, we can still use the unconditionally stable, explicit algorithm
but it requires expensive computation to get a good accuracy.

** Next:** ACKNOWLEDGEMENTS
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Stanford Exploration Project

12/18/1997