Abstract

This paper gives a simple theorem determining relative transmission efficiencies in a two-way transducer, and showing that the conditions for equal efficiencies of transmission in the two directions are simply those for maximum output and maximum reception of energy. The theorem is then applied to radio communication and a second theorem stated and proved by which the ratio of the transmitting efficiences of any two antenna systems is expressed in terms of their receiving efficiences. The paper closes with a mathematical note on a generalization of Rayleigh's Reciprocal Theorem.

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