The problem of the location and characterization of a two-dimensional (2-D) subsurface object is formulated as the inverse problem for an effective scattering model. An arbitrary finite-sized buried object is described as a subsurface circular cylinder with the radius, permittivity, and position of its center to be determined. The inversion is performed in a nonlinearized way, minimizing the discrepancy between the actual scattered field and that of the effective scattering model. A simple and quick solution for a circular cylinder embedded in a lossy half space is introduced. As far as numerical efficiency is concerned, the obtained approximate algorithm is comparable to the free-space solution. The location algorithm has been tested with the two-dimensional models of plastic antipersonnel land mines.
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Budko et al. (1999) studied this question.
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