Application of a set of inverse boundary conditions to the profile characteristics inversion of conducting circular cylindrical shapes

An exact problem of electromagnetic inverse scattering is considered for which the target characteristics of unknown two-dimensional cylindrical scatterers need to be determined, given the incident and the scattered fields everywhere and assuming that the laws governing the interaction satisfy the Leontovich condition. The novel set of inverse boundary conditions, resulting from the inversion of this impedance boundary condition, is employed to recover the electrical size, the surface locus, and the averaged local surface impedance directly from the total near-field expressions. The analysis is verified by computation for circular cylindrical monobody and twobody shapes assuming mixed polarized normal plane wave incidence. Particular emphasis is given to coordinate origin displacement, series truncation, and Fourier coefficient accuracy error analysis.