INVERSE SCATTERING OF A BURIED CONDUCTING CYLINDER

The problem of determining the shape of a conducting cylinder buried in a half-space from a set of measurements of a scattered field is investigated. Assume that the whole space is divided into two half-spaces of different properties. A conducting cylinder of unknown shape is buried in one half-space and scatters the wave incidence from another half-space where the scattered field is recorded. By properly processing the scattered data, the shape of the conducting scatterer can be reconstructed. To solve the direct scattering problem, we use the moment method to obtain the scattered field from a known conductor at various frequencies and incident angles. For inverse scattering, based on the boundary condition and the recorded scattered field, a set of nonlinear integral equations is derived which, together with the iteration procedure, provides the theoretical inversion algorithm. Some numerical examples are presented and it turns out that, with multiple incident directions, good reconstruction is obtained even in the presence of noise in measured data. The effect of varying frequency on the reconstruction is also examined.