Inverse scattering of inhomogeneous biaxial materials coated on a conductor

The inverse scattering of inhomogeneous biaxial materials coated on a perfectly conducting cylinder with known cross section is investigated. A group of unrelated incident waves is used to illuminate the cylinder. By properly arranging the direction and polarization of various unrelated incident waves, the difficulties of ill-posedness and nonlinearity were circumvented and the permittivity tensor distribution can be reconstructed through simple matrix operations. For theoretical formulation based on the boundary condition, a set of integral equations is derived and solved by the moment method as well as the unrelated illumination method. Numerical results show that the permittivity tensor distribution of the materials can be successfully reconstructed even when the permittivity is fairly large. Good reconstruction has been obtained both with and without Gaussian noise in measured data. In addition, the effect of noise contamination on imaging is also examined.