Analysis of the far-field radiation pattern by a current loop in hyperbolic material

In this article, we investigate the radiations from a current loop in hyperbolic materials. To encounter the arbitrary orientation of the loop, the results are presented when the loop axis is aligned parallel and perpendicular to the optic axis. Closed-form expressions as well as numerical results are presented for both ordinary and extraordinary waves. The results indicate a strong dependence on the size of the loop, in contrast to the case of uniaxial dielectric materials. When the loop axis is parallel to the optic axis, the pattern is quite similar to that of uniaxial dielectric materials; however, a significant change in the pattern is observed when the optic axis turns perpendicular to the loop axis. The results show a significant role of the size of the loop in the hyperbolic material as compared to the uniaxial dielectric material.