Huygens's principle is used to derive a method for calculating first a
rrival traveltimes in anisotropic media. Numerical results for several
transverse isotropic (TI) models show that calculated Huygens travelt
imes are in good agreement with traveltimes computed by a finite-diffe
rence solution to the anisotropic wave equation. This Huygens method i
s stable and accurate for the test models and so it may be useful in a
nisotropic data inversion and wave propagation visualization.