Cancellation of spurious arrivals in Green's function extraction and the generalized optical theorem.

@article{Snieder2008CancellationOS,
  title={Cancellation of spurious arrivals in Green's function extraction and the generalized optical theorem.},
  author={Roel Snieder and Kasper van Wijk and Matt Haney and Rodney Calvert},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2008},
  volume={78 3 Pt 2},
  pages={036606}
}
The extraction of the Green's function by cross correlation of waves recorded at two receivers nowadays finds much application. We show that for an arbitrary small scatterer, the cross terms of scattered waves give an unphysical wave with an arrival time that is independent of the source position. This constitutes an apparent inconsistency because theory predicts that such spurious arrivals do not arise, after integration over a complete source aperture. This puzzling inconsistency can be… CONTINUE READING

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