Inverse scattering of a buried conducting cylinder

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Abstract
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 incident 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, the authors 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.