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Rayleigh-Carson Theorem

November 14th Fact-of-the-Day

In 1929 John R. Carson published an extension of a theorem previously published by Rayleigh which is essentially that if an electromotive force E inserted in Antenna 1 causes a current I to flow at a certain point in a second Antenna 2, then the voltage E applied at this point in the second antenna will produce the same current I in both magnitude and phase at the point in Antenna 1 where the voltage E was originally applied. It was discovered years later that the theorem is true except where radio waves have been appreciably affected by ionospheric propagation, because radio waves do not propagate reciprocally through an ionized medium in the presence of a magnetic field unless the magnetic field is precisely aligned relative to the direction of propagation. ©2004 Martek International All rights reserved.

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