Time-Domain Scattering from Arbitrary Array of Parallel Electric Dipoles

Time-domain integro-differential equation with a logarithmic kernel is derived for the surface current density for an array of parallel electric dipoles. Equation regularization is made by the analytical transformation of the extracted singular static part. Numerical solution of the transformed equation with a smooth kernel is obtained by the collocation method. Time dependence of the current is approximated by the splines of the first kind