A complex-source beam (CSB) is used to investigate the electromagneticscattering and diffraction by the tip of a perfectly conducting semi-infinitecircular cone. The boundary value problem is defined by assigning acomplex-valued source coordinate in the spherical-multipole expansion of thefield due to a Hertzian dipole in the presence of the PEC circular cone.Since the incident CSB field can be interpreted as a localized plane waveilluminating the tip, the classical exact tip scattering problem can beanalysed by an eigenfunction expansion without having the convergenceproblems in case of a full plane wave incident field. The numericalevaluation includes corresponding near- and far-fields.
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