Shot-profile migration and modeling

The application of multi-dimensional spectral factorization discussed in previous chapters of this thesis is migration by wavefield extrapolation in the ($\omega,{\bf x}$) domain. These various methods discussed, however, are only a subset of a larger group of recursive downward-continuation imaging algorithms that work in ($\omega,{\bf x}$), ($\omega,{\bf k}$) and mixed ($\omega,{\bf x},{\bf k}$) domains. Many aspects of downward-continuation migration are independent of the choice of extrapolation algorithm itself.