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In anisotropic wave propagation
the phase angles and velocities are different
from the group angles and velocities.
In this appendix I briefly review the concepts of phase and group
angles and velocities and the relationships between these
physical quantities.
The transformation
from phase velocity to group velocity *V*
is conventionally defined as the following
Tsvankin (2001):

| |
(30) |

where is the phase propagation angle.
The associated transformation from phase angles
to group angles is defined
as:
| |
(31) |

Dellinger and Muir (1985) propose,
and heuristically motivate,
the following symmetric relations for the inverse transforms:

| |
(32) |

where and *S* are respectively the phase slowness
and the group slowness,
and
| |
(33) |

I use the heuristic relation in equation 33
to derive some of the analytical results presented in this paper.
Furthermore, I use all the above relationships
to compute the kinematic numerical results presented
in this paper.
B

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Stanford Exploration Project

11/1/2005