Extended UTD solution for scattered fields by a coated conducting cylinder

We derive an extended UTD (uniform geometrical theory of diffraction) solution for the high-frequency scattered fields by a coated conducting cylinder covered by a thin lossy dielectric material. We show that the exended UTD solution derived by retaining the higher order term can be applied uniformly in the transition region near the shadow boundary and in the deep shadow region. The validity of the asymptotic solution derived here is confirmed by comparing with the exact solution obtained from the eigenfunction expansion.