Abstract
The inverse problem of determining the complex index of refraction profile of the subsurface from multistatic, narrow band ground penetrating radar (GPR) data is addressed within the context of diffraction tomography. The problem is formulated within the Born approximation which yields a coupled set of integral equations relating the sought after index of refraction profile of the subsurface to the measured scattered field data. This set of coupled equations is solved using the Tikhonov‐Phillips regularized pseudoinverse and the solution so‐obtained is found to be in the form of the filtered backpropagation algorithm of diffraction tomography. Both the full view (infinite number of incident plane waves) and limited view (finite number of incident plane waves) problems are addressed as well as the important cases where the background medium is lossy and evanescent plane waves of the scattered field are measured. The paper includes computer simulated examples illustrating the use of the finite view algorithm.
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