OBLIQUE-INCIDENCE SCATTERING FROM 2 ECCENTRIC CYLINDERS

The analytical solution for the scattering of electromagnetic plane wa ves from an infinitely long homogeneous cylinder of arbitrary material , in an eccentric coating at oblique incidence, is presented. The solu tion is determined by solving the scalar wave equation in the cylindri cal coordinates, for the various geometric regions and by applying the boundary conditions at the material interfaces. Furthermore, the tran slational addition theorem of Bessel functions is utilized for transfe rring the fields component between two cylindrical coordinate systems. Both polarizations of the incident plane wave (TM and TE with respect to the z-axis) are considered. The resulting solution consists of a s ystem of eight coupled equations for the unknown expansion or scatteri ng coefficients. Expressions for the extinction, scattering, and back scattering cross sections are presented. A numerical algorithm for the solution is developed, implemented, and tested for several limiting a nd special cases. Comparisons of the results with those reported in th e literature show excellent agreements. Numerical calculations indicat e that the eccentric cylinder arrangement is easily distinguishable fr om that of the coaxial cylinders.