SCATTERING OF ELECTROMAGNETIC PLANE WAVES FROM TWO INFINITELY LONG PARALLEL CYLINDERS OF ARBITRARY MATERIALS AT OBLIQUE INCIDENCE.

Abstract

The Mueller scattering matrix elements (S(ij)) and the cross-sections for the scattering of an electromagnetic plane wave from two infinitely long, parallel, circular cylinders at oblique incidence are derived. Each cylinder can be of arbitrary materials (any refractive index). The incident wave can be in any polarization state. To find the scattering coefficients, which are essential for calculating S(ij) and the cross-sections, the multiple scatterings were taken into account for all orders such that the 'incident' field of one cylinder is the true incident field plus the scattered field from the other cylinder. The formal solutions of the scalar wave equation are obtained in the three regions; the region outside the two cylinders, the region inside each cylinder and the scattering coefficients are found by satisfying the boundary conditions. A computer program was written. The scattering coefficients are calculated from a matrix equation. This is the first comprehensive study of the two cylinder problem. Special cases are considered in comparison with other published works. Calculations are shown of S(ij) and of cross-sections for some selected cases of configurations of the two cylinders.