An integral equation approach to electromagnetic diffraction by a cylinder

A two-dimensional perturbation theory of electromagnetic diffraction by a c ylindrical conductor is developed, based upon Robin's integral equation of electrostatics. An innovative feature of the theory is of not requiring a b oundary condition of zero tangential electric field at the conducting surfa ce, but requiring explicitly that the bulk conductivity be taken into accou nt, and solutions of Maxwell's equations are obtained for both the interior and exterior regions. The theory is a near-held, low-frequency one, being perhaps valid for the highest radio frequencies, but not for optical freque ncies or for great distances from the cylinder.