Field solution for dielectric loaded annular slot array antennas

An analytical method based on the boundary value method is presented which gives the field solution for annular slot array antennas fed by a radial waveguide and loaded by one layer of dielectric. The Green's functions for the interior and exterior regions for a magnetic surface current ring are obtained. Then the induced magnetic current over the slots is expanded into a finite Fourier series with unknown coefficients. The final formulation is achieved by employing the Green's functions and applying the boundary conditions.