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On the radiation from a Hertzian dipole of a finite length in the uniaxial dielectric medium

The radiation by an extended linear source in the unbounded uniaxial dielectric medium with uniform current distribution is studied. The exact as well as approximate fields in the near and far zones are found analytically using the dyadic Green functions in the frequency domain. Elegant closed-form results are obtained when the Hertzian dipole is parallel and perpendicular to the optic axis of the uniaxial medium. When the dipole is parallel to the optic axis, only extraordinary waves are emitted. When the dipole is perpendicular to the optic axis, both ordinary and extraordinary waves are emitted; however, the radiations are suppressed along the optic axis and no extraordinary waves are emitted in a direction perpendicular to both the electric dipole and the optic axis. A comparison with the point dipole showed that the directivity of the radiation pattern can be controlled using the length of the Hertzian dipole.