Radiation by a finite-length electric dipole in the hyperbolic media

Abstract

Far-field radiation by a finite-length electric dipole is studied in the hyperbolic medium. To account for the arbitrary orientation of the dipole, the results are presented when the dipole and the optic are parallel to each other and when they are perpendicular to each other. Analytical as well as numerical results for both the ordinary and extraordinary wave are presented. The results indicate a strong dependence upon the length of the dipole, in contrast to the case of the uniaxial dieletric medium. When the dipole was parallel to the optic axis, radiations are emitted in a cone around the symmetry axis. When the dipole was perpendicular to the optic axis, extraordinary waves are emitted along only four directions, whereas ordinary waves are emitted in every direction perpendicular to the dipole. The results indicate a stronger role of the length of the dipole in the hyperbolic media as compared to the uniaxial dielectric media.