The Hertzian dipole is a theoretical dipole antenna that consists of an infinitesimally small current source acting in free-space. Although a true Hertzian dipole cannot physically exist, very short dipole antennas can make for a reasonable approximation. The length of this antenna is significantly smaller than the wavelength: The radiation resistance is given by: where is the impedance of free space. A surprising result is that even though the Hertzian dipole is minute, its effective aperture is comparable to antennas many times its size.
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