Well-Conditioned Integral Formulations for Oblique Scattering of Electromagnetic Waves from an Infinite PEC Cylinder

Abstract

The perfectly electrically conducting cylinder of arbitrary cross section is illuminated by a plane wave with no electric/magnetic field component along the longitudinal direction obliquely impinging onto the obstacle with a non-zero angle from its surface normal. The electric and magnetic field integral equations modeling the phenomenon are elaborated. The super algebraically convergent algorithms are exploited for calculation of their kernels. Magnetic field integral equations lead to well-conditioned corresponding algebraic systems naturally while electric field integral equations lead to well-conditioned corresponding algebraic systems after their Analytical Regularization which will be outlined, where beforehand they are ill-conditioned. Solutions of both equations verify each other. After post processing these solutions, the accuracy as well as the condition of the algebraic systems will be investigated for each equation having incidence angle as a parameter.