# Translations:Mathematical foundation of 3-D migration/83/en

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We start with the solution of the 3-D scalar wave equation to extrapolate a 3-D zero-offset wavefield *P*(*x, y, z* = 0, *t*) as given by equation (**G-2**) in the frequency-wavenumber domain. We also assume a horizontally layered earth model associated with a vertically varying velocity function *v*(*z*). By inverse Fourier transforming equation (**G-2**), we have