Mathematical Modeling of Exciting a Wideband Semitransparent Antenna with Longitudinal Slots by a Concentrated Source

In a rigorous formulation, we consider a boundary value problem of a concentrated electromagnetic field source exciting a conical structure. This structure is a semiinfinite circular semitransparent cone with longitudinal slots cut periodically from the cone tip. By means of the Kontorovich-Lebedev integral transformations, the solution of the original electromagnetic problem is reduced to solving a singular integral equation. An analytical solution for a solid semitransparent cone and a scattered field pattern for a perfectly conducting cone with a longitudinal slot are presented.