TITLE:
A Universal Condition Satisfied by the Action of Electromagnetic Radiation Fields
AUTHORS:
Vernon Cooray, Gerald Cooray
KEYWORDS:
Classical Electrodynamics, Electromagnetic Radiation, The Action of Electromagnetic Radiation, Elementary Charge, Electronic Charge, Time-Energy Uncertainty Principle
JOURNAL NAME:
Journal of Electromagnetic Analysis and Applications,
Vol.9 No.11,
November
30,
2017
ABSTRACT: The action (the product of radiated energy and the time of emission) of the radiation fields generated by four types of radiators, namely, short electric dipole, small magnetic dipole, travelling wave antenna and bi-conical antenna is investigated with special reference to the charge associated with the current waveform which is responsible for the radiation. The results obtained can be summarized by the order of magnitude inequality where A is the action (product of the radiated energy and the time of emission), h is the Planck constant, q is the charge associated with the current that gave rise to the radiation and e is the electronic charge. The condition is obtained when the length of the antenna and its radius are pushed to its extreme natural limits. Based on the results obtained here and elsewhere, it is suggested that this inequality is valid in general for electromagnetic radiation fields as predicted by classical electrodynamics.