Electromagnetic reflection from an arbitrary smooth convex cylinder

Abstract

The multiple Laplace transform has been applied to the analysis of electromagnetic scattering by a cylinder of arbitrary convex cross section. Results exhibit the field values segmented into forward-propagating and inverse-propagating integral expressions whose integrands are Hankel functions multiplied by the tangential field components on the boundary. All electric- and magnetic-polarization components of the field can be solved external to the cylinder as a function of the field values on the boundary. Both the electric-field and the magnetic-field integral equations are derived from specific parts of the solution. These equations are derived without invoking the concepts of surface current, scalar potential, or vector potential.

© 1986 Optical Society of America

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