2D and 3D elastic wavefield vector decomposition in the wavenumber domain for VTI media

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Comparison of methods for extracting ADCIGs from RTM (2014, methodology): “In elastic media, propagation directions can be computed directly from the x-, y-, and z-component amplitudes of the P- and S-waves if they are well preserved after separation (Zhang and McMechan, 2010), or if P- and S-waves are extrapolated separately (Ma and Zhu, 2003), or computed directly from s”
Vector-based elastic reverse time migration (2015, methodology): “An anisotropic vector wavefield can be decomposed into P and S vector components by solving the Christoffel equation (Zhang and McMechan, 2010; Cheng and Fomel, 2014); the relation between propagation direction and polarization needs to be explicit for the anisotropy symmetry used.”
Comparison of two algorithms for isotropic elastic P and S vector decomposition (2015, methodology): “Vector decomposition for VTI media is also possible by solving the Christoffel equation (Zhang and McMechan, 2010) at significantly greater expense.”