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The Theory of N Coupled Parallel Antennas

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1 Author(s)
King, Ronald ; Cruft Laboratory, Harvard University, Cambridge, Massachusetts

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The integral‐equation theory of coupled antennas developed by King and Harrison, Tai and Bouwkamp for two‐ and three‐coupled antennas is generalized to any number of units symmetrically arranged around a circle. The case of four antennas at the corners of a square is discussed in detail. Application to cage and corner‐reflector antennas is indicated. The analysis of N parallel antennas arranged in line is carried out to determine the driving voltages required to maintain specified currents. It is shown that the inverse problem cannot be carried out in general except as a problem in simultaneous integral equations, but that the special conditions obtaining for half‐wave dipoles permit an approximate analysis for the currents with given voltages. This is carried through.

Published in:

Journal of Applied Physics  (Volume:21 ,  Issue: 2 )

Date of Publication:

Feb 1950

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