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![]() | High-order kernels for Riemannian Wavefield Extrapolation | ![]() |
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(10) |
For media
with lateral variability of the coefficients and
, due to
either velocity variation or focusing/defocusing of the coordinate
system, we cannot use in extrapolation the wavenumber computed
directly using equation 13. Like for the case of extrapolation in
Cartesian coordinates, we need to approximate the wavenumber
using expansions relative to
and
. Such approximations can be
implemented in the space-domain, in the Fourier domain or in mixed
space-Fourier domains.