Axial slot antenna on an anisotropic dielectric-coated circular cylinder

This paper presents an analytical solution of an axial slot antenna on a conducting circular cylinder coated with an anisotropic material in terms of the series of wave functions for anisotropic media. This solution is formally similar to the solution of an axial slot antenna on a conducting elliptic cylinder with an isotropic dielectric coating. In the anisotropic dielectric coating, and in the exterior free space region, the fields are expanded by the wave functions in anisotropic media and the well known wave functions in isotropic media, respectively. Numerical results for the far-field radiation patterns and the aperture conductance against coating thickness for different anisotropic media are presented for the transverse electric (TE) and transverse magnetic (TM) polarisations. Numerical results for the gyrotropic type media are used to check our calculations, and those for general anisotropic media are presented to provide references for future computations by using other methods, respectively