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The pseudo-screen solution to equation (9)
derives from a first-order expansion of the square-root
around *a*_{0} and *b*_{0} which are reference values for the
medium characterized by the parameters *a* and *b*:
| |
(24) |

The partial derivatives relative to *a* and *b*, respectively, are:
| |
(25) |

| (26) |

Therefore, the pseudo-screen equation becomes
| |
(27) |

If we make the notations
| |
(28) |

we obtain the mixed-domain pseudo-screen solution to the
one-way wave equation in Riemannian coordinates:
| |
(29) |

** Next:** Mixed domain
** Up:** Sava: Riemannian wavefield extrapolation
** Previous:** Space-domain finite-differences
Stanford Exploration Project

10/23/2004