Conclusions

Existing one-way imaging and modeling algorithms like Stolt's and phase-shift methods can be extended to the anisotropic case and are computationally attractive when the exact anisotropic dispersion relation is approximated by a rational polynomial. This double elliptic approximation works very well in the phase domain and, like the exact dispersion relation, produces triplication in the group domain. The same parameter which describes the dispersion relation can be used to approximate the group velocity curve however, then triplications are not reproduced. This suggests that phase velocity curves should be approximated, and implies that the processing should be done in the $\omega-k$ or $\tau-p$ domain.