Long slot arrays - part 1: theoretical formulation

This work deals with the properties of an array of long slots fed by periodically located feed elements spaced at Nyquist interval. The paper is structured in two parts. This first part introduces the theoretical formulation of the problem and the input impedance properties of the array when fed by an array of /spl delta/-sources. Analytical formulas show a theoretically unlimited bandwidth when there is no back plane. The second part presents the proof of concepts and test results of a prototype UHF long slot array in the next companion paper.