Abstract

A boundary problem of excitation of a semi-infinite semi-transparent circular thin cone with a longitudinal slot by a harmonic electrical radial dipole is considered. The solution method is based on using a Debuey’s potential, the Kontorovich-Lebedev transforms and the Fourie’s series method. It is shown that solving an electromagnetic boundary problem is equivalent to solving a system of linear algebraic equations with respect to unknown coefficients. The analytical problem solution is obtained and a slot effect on the boundary problem spectrum, the electromagnetic field structure and its behavior at the cone tip is investigated. It is proved that slot presence intensifies the tip singularity as for comparing with the field singularity at the tip of the continuous (closed) semi-transparent cone.

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