** Next:** Acknowledgments
** Up:** Shragge and Sava: Adaptive
** Previous:** Ray-coordinate triplication

We demonstrate the utility of a ray-based
Riemannian wavefield extrapolation
method using an adaptive bootstrap approach to
calculate the ray-coordinate system directly from the wavefield.
This bootstrap procedure allows for frequency-dependent ray-coordinate
systems to be computed on-the-fly from the wavefield phase gradient
and the velocity model. Coupling this procedure with RWE leads to a
general frequency-dependent extrapolation procedure capable of
following a wavefront as it propagates, overturns, and even triplicates.
We propose that in locations where the ray-coordinate system
triplicates, the Jacobian spreading and other required functions may
be calculated by cutting the triplication into its constituent
branches and using appropriate one-sided finite difference stencils.
The full proof of this conjecture, though, remains a topic of future
research.

** Next:** Acknowledgments
** Up:** Shragge and Sava: Adaptive
** Previous:** Ray-coordinate triplication
Stanford Exploration Project

5/23/2004