Abstract
A Fourier back-propagation inversion for a stratified background and point sources is developed by using the normal mode solution to the acoustic wave equation. The spectrum of an object function describing the heterogeneity is decomposed into contributions from different layers and then the selection rule is applied to the spectrum of the individual layers. This method differs from its counterpart for a uniform host medium by a propagation matrix filter that reduces to unity as the stratification degenerates to be uniform. Since the theory deals directly with point sources in a cylindrical background medium the algorithm does not require 2.5-D correction when applied to field data as usually performed in previously published diffraction tomography algorithms.
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