Radiation resistance and irreversible power of antennas in gyroelectric media

In recent years, many investigators have been working on the problem of calculating the radiation resistance of dipole antenna immersed in an anisotropic medium [1]. central difficulty of their method of calculation that it yields an infinite value for the radiation resistance. They hare attributed this infinity to the size of the source, and have suggested that the source were of finite spatial extent the difficulty would not arise. It is our contention that the is of a more basic nature and is not due to the size of the source but to the method of calculation. The purpose of this letter is to show that if the radiation resistance is calculated with proper conformity to the thermodynamical laws of reversibility and irreversibility, the value of the radiation resistance turn out to be finite. Clearly, radiation resistance on the same footing as ordinary circuit resistance in the sense that they both are measures of irreversible power, and hence in calculating radiation resistance it is necessary that only the irreversible part of the be used. Accordingly, we shall construct an for the irreversible part of the power by a source, and show that the expression so is finite and hence leads to a finite value for the radiation resistance. To construct the expression, we recall that in the case of accelerating point electron in vacuum, the combination half the retarded minus half the advanced field is from singularity [2] and corresponds to the irreversible power radiated by the electron [3]. shall extend this idea of taking a combination field the case of a monochro matic source Re(Je^(iWt)) into a lossless anisotropic medium.