Inverse scattering of an embedded inhomogeneous dielectric cylinders coated on a conductor

Abstract

In this paper, the inverse problem of an embedded inhomogeneous dielectric cylinders coated on a conductor by TM wave illumination is investigated. Inhomogeneous dielectric cylinders coated on a conductor embedded in a slab scatters a group of unrelated incident waves from outside. The scattered field is recorded outside the slab. By proper arrangement of the various unrelated incident field, the difficulties of ill-posedness and nonlinearity are circumvented, and the permittivity distribution can be reconstructed through simple matrix operations. The algorithm is based on the moment method and the unrelated illumination method. Numerical results are given to demonstrate the capability of the inverse algorithm. They also show that the permittivity distribution of the cylinders can be successfully reconstructed even when the permittivity is fairly large. Good reconstructed is obtained even in the presence of additive Gaussian noise in measured data. In addition, the effect of noise on the reconstruction result is also investigated.