Inverse scattering for a dielectric cylinder

The problem of reconstructing both the shape and the relative permittivity of a homogeneous dielectric cylinder in free space from the measurement of the scattered field around a circle is investigated. In simulation, the Newton-Kantorovitch algorithm, the moment method, and the singular value decomposition technique are used to solve a set of nonlinear integral equations. Numerical results show that, with multiple incident directions, good reconstruction is obtained. This algorithm can be applied at a single frequency without limitation on the permittivity value. The shape and the permittivity of the object can be successfully reconstructed even when the permittivity is fairly large and the Born approximation is no longer valid.<>