An incremental formulation for the scattering of an electromagnetic wave by circular cylinders

The general vector problem of electromagnetic wave scattering from a perfectly conducting cylinder with circular cross-section is considered. High-frequency expressions for incremental scattered field contributions are determined, when the cylinder is illuminated by both an electric and a magnetic elementary dipole oriented along its axis. As in the scalar case, they are obtained by applying the same spatial integral convolution interpretation to the exact spectral integral representation of the axial components of the total scattered electric and magnetic fields. An explicit formulation for dyadic incremental scattering coefficients is presented, that is applicable to small and moderately sized local cylinders. In order to validate the present formulation, the scattering coefficients have been applied to the example of a canonical circular cylinder. Numerical results are presented and compared with the exact solution. The good agreement between these results indicates that the present formulation may provide an effective procedure for describing radiation and scattering phenomena at high frequency.