Analysis of electromagnetic scattering from linear periodic arrays of perfectly conducting bodies using a cylindrical-current model

A novel solution is presented for the problem of three-dimensional scattering of a time-harmonic plane wave from a infinite periodic linear array of finite-size perfectly conducting bodies. A set of fictitious sources comprising periodic and properly modulated cylindrical electric current sheets of cross polarization is used to simulate the scattered field. The complex amplitudes of these fictitious sources are adjusted to render the tangential component of the electric field zero at a selected set of points on the surface of one of the scatterers. The suggested solution procedure is simple to implement and is applicable to linear periodic arrays composed of disjoint bodies of smooth, but otherwise arbitrary, shape. The accuracy of the method is demonstrated. It is shown that in the limiting case of widely spaced spherical scatterers the numerical solution agrees well with an approximate analytic solution