Optimizing by Requiring Analyticity with Examples in antenna Theory
Chaney, Jesse Gerald
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The theory is postulated that the variational technique for discovering the laws governing a physical problem, formulated within a complex domain, is primarily a result of requiring analyticity in the variational formulation. In support of the theory, both in low frequency network theory and in antenna theory, examples are shown in which the governing circuit laws are obtainable from functions which do not possess the stationary property simply by requiring analyticity in the functions. The resulting circuitry is the same as that found from the conventional variational formulation. In consequence of the examples, for any number of trial functions used in setting up the currents along any number of antennas, it becomes evident that the current modes obey the laws of ordinary circuit analysis. The generalized circuitry is thereby extended to any thin wire antenna configuration.
NPS Report NumberResearch Paper No. 10
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