An Approximate Propagation Speed Inversion Over a Prescribed Slab
An algorithm is proposed which facilitates an explicit velocity profile inversion in the presence of a presumedly known, background slab. The formulation is outlined within the confine of the so called, “distorted wave” Born approximation in which the background effects are properly accounted for. A plane wave excitation is considered.
The presence of a non-negligible background slab presents the following, previously unencountered, difficulties. Firstly, the slab’s multiple reflections impose a sequential reconstruction procedure, in which each iterative step yields the reconstruction of a finite spatial slab. This contrasts the one-step reconstruction, achieved by Bleistein and Cohen over a homogeneous background.
Secondly, difficulties associated with the reality of limited band measurements may be magnified. Finite bandwidth data may render the inversion procedure nonunique.
KeywordsBorn Approximation Iterative Step Distorted Wave Inversion Scheme Single Scatter
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