Quantum Theory of R.F. Radiation from a Short, Straight and Thin Wire of Noble Metal (0.3 MHZ to 30 MHZ)

In the wire of noble metal the r.m.s. value of r.f. current is limited due to the finite resistance which consists of two parts viz., the skin resistance and the radiation resistance of the wire. The metal, in the form of a short, straight and thin wire in free space or air, constitutes an alternating current element. The finite values of the resistance give rise to two kinds of losses, viz., the heat loss and the radiation loss. The metallic wire is assumed to have attained an average temperature of 293°K in presence of the heat loss relative to the surroundings in equilibrium conditions. Knowing radiation resistance of the wire, radiation resistivity, electron-ion radiation collision frequency and radiation collision cross-section are obtained by introducing a nominal radiation depth of penetration of the r.f. current exciting the metallic wire. Ultimately an expression for the radiation temperature Tr of ions in the metallic wire, forming electron-ion pairs with conduction electrons, is obtained assuming the ions are set into charge-oscillations, parallel to direction of r.f. current in the wire at electron-ion (radiation) collisions. The radiation occurs due to the ions undergoing charge-oscillations, and the ions under these circumstances can take only discreet values of energy which are integral multiples of hf where h is Planck constant and f is the frequency of the r.f. current. The radiation is a quasi-equilibrium phenomenon at a particular radiation temperature Tr in equilibrium with ions of electron-ion pairs in the metal. In short, absorption and emission of radiation due to electron-ion pairs in the metallic wire at electron-ion (radiation) collisions, is analyzed here, where the electrons absorb the radiation from the current exciting wire at electron-ion (radiation) collisions, which is further transferred to the ions resulting in the emission of radiation from the ions forming the electron-ion pairs. This theory is given here for the current element constituted by the wire of noble metal in the r.f. region of frequency range 30 MHz to 0.3 MHz.