An integral equation approach to electromagnetic diffraction by a cylinder

A two-dimensional perturbation theory of electromagnetic diffractionby a cylindrical conductor is developed, based upon Robin’sintegral equation of electrostatics. An innovative featureof the theory is of not requiring a boundary condition of zerotangential electric field at the conducting surface, but requiringexplicitly that the bulk conductivity be taken into account,and solutions of Maxwell’s equations are obtained for both the interior and exterior regions. The theory is a near-field, low-frequency one, being perhaps valid for the highest radio frequencies, but not for optical frequencies or for great distances from the cylinder. Received 3 June, 1999. ⁺ antoine@mip.ups-tlse.fr