Electromagnetic Scattering From an Eccentric Multilayered Cylinder At Oblique Incidence

Abstract

The scattering of electromagnetic plane waves from a multi-eccentric cylinder at oblique incidence is analyzed analytically and numerically. The solution is determined by solving the scalar wave equation in the cylindrical coordinates for the various geometric regions, utilizing the translational addition theorem of Bessel functions, and applying the boundary conditions at the material interfaces. Both polarizations of the incident plane wave (TM and TE with respect to the z-axis ) are considered. The resulting solution consists of a system of coupled equations for the unknown expansion or scattering coefficients. Expressions for the extinction, scattering, and back scattering cross sections are the same as those for a single homogeneous cylinder. A numerical algorithm for the solution is developed and tested for several limiting and special cases. Comparisons of the results of this algorithm with those reported in the literature show excellent agreements. Numerical calculations indicate that the scattering characteristic of eccentric cylinder is sensitive to the eccentricity parameters, material, and the tilt angle.