** Next:** About this document ...
** Up:** Popovici : DMO &
** Previous:** CONCLUSIONS

- Biondi, B., and Ronen, J., 1987,
Dip moveout in shot profiles:
Geophysics,
**52**, 1473-1482.

- Black, J.L., Schleicher, K.L., and Zhang, L., 1993,
True-amplitude imaging and dip moveout:
Geophysics,
**58**, 47-66.

- Deregowski, S. M., and Rocca, F., 1981,
Geometrical optics and wave theory of constant-offset sections
in layered media: Geophysical Prospecting,
**29**, 374-406.

- Jakubowitz, H., 1990, A simple efficient method of dip-moveout
correction: Geophysical Prospecting,
**38**, 221-245.

- Hale, I. D., 1983, Dip-moveout by Fourier
transform: Ph.D. thesis, Stanford University.

- Popovici, A.M., 1993,
Partial Differential Equation for Migration to Zero-Offset:
SEP-
**77**, 77-88.

- Yilmaz, O., and Claerbout, J. F., 1980,
Prestack partial migration:
Geophysics,
**45**, 1753-1779.

- Zhang, L., 1988,
A new Jacobian for dip moveout: SEP-
**59**, 201-208.

## APPENDIX A

The purpose of this appendix is to express
and to
find the integration limits for given
the integration limits for . Start
with the expression for :

| |
(20) |

and after reducing
and grouping
we have
| |
(21) |

The discriminant is
From the conditions on *k*_{z} in equation (12),
is always positive
and therefore is real.
The integration limits for are found by
starting with the limits :

and after we square both sides
and replacing in the equation for we have

| |
(22) |

** Next:** About this document ...
** Up:** Popovici : DMO &
** Previous:** CONCLUSIONS
Stanford Exploration Project

11/17/1997