Radiation of dielectric-coated longitudinal and transversal slot antennas in a plane waveguide

In this paper, a problem of radiation of longitudinal and transversal slot antennas placed on a circular perfectly conducting cylinder with magnetodielectric coating in a plane waveguide is considered. The calculation reduces to a solution of the Helmholz equations for the electric and magnetic vector potentials. The solution of the problem is obtained in an approximation of a thin antenna (in relation to the wavelength) and given distribution of electric field intensity along the slot. Expressions for the electromagnetic field intensity, radiation power, and conductivity of the longitudinal and transversal slot antennas are obtained. They are presented in a form of double series over the eigenfunctions of the perfect plane waveguide and the azimuth eigenfunctions of the cylinder. Such a representation is very convenient for numerical calculations. Using the expressions obtained the numerical calculations of real and imaginary parts of the radiation conductivity and impedance are performed. The influence of the magnetodielectric coating and geometrical parameters of the problem on antenna characteristics is analysed.