TE-scattering from dense homogeneous infinite dielectric cylinders of arbitrary cross-section

A numerical approach to obtain the fields scattered by a homogeneous dielectric cylinder of arbitrary cross section which is illuminated by a TE plane wave is presented. The equivalence theorem is used to transform the problem of solving Maxwell´s equations in the whole space, subject to the conditions imposed by the presence of the cylinder and the incident field, into an operator equation for the volume polarization currents in the cylinder. A set of expansion functions is then used to solve the problem using Galerkin´s technique. These expansion functions are obtained by dividing the cylinder cross-section into a number of triangular patches and defining, for each node in the mesh of triangles, a basis function which depends on the dimensions of the triangles attached to it. This basis function is divergence-free for all the internal nodes, with surface charges associated to the external nodes only. The computed results include the radar cross sections. Several geometries are studied, and the computed results are compared with exact or numerical results.