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The author wishes to amplify Christiansen's recent communication [P.L. Christiansen, "On the closed form of the array factor for linear arrays," IEEE Trans. on Antennas and Prop. (Commun.), vol. AP-11, p. 198, March, 1963.] on the use of Z-transform theory for obtaining a closed form for the array polynomial of linear antenna arrays. He is convinced that his proposed approach provides a concise and convenient way for linear array analysis, and his new results will be useful. In his communication Christiansen stressed that the Z-transform approach does not require that the envelope function of the current distribution be periodic, nor is the approach limited to envelope functions with a linear phase relation. That a unit gate function could be used in cases where the amplitude envelope is not representable by a periodic function was pointed out previously by the present author . Christiansen gave the array factor of a very complicated amplitude distribution function without showing the intermediate steps. In an effort to clarify the situation, two examples are provided that may prove to be helpful to interested readers.
Date of Publication: September 1963