We bring an alternative view to the computation of the upgoing wavefield and generalize it to directional wavefield decomposition. We start by comparing the integral representation of the upgoing wavefield to the dispersion relation of the wave equation. Developing the relationship between the two, we write a Fourier transform representation that allows to generalize wavefield decomposition to an arbitrary direction. Decomposing the wavefield for arbitrary incoming and outgoing directions at the source and the receiver allows a complete decomposition of the data that can be used for many purposes, such as selecting or enhancing illumination directions for imaging and inversion.

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