Linear Arrays with Arbitrarily Distributed Elements

A linear array with general arbitrarily distributed elements is discussed, A matrix relation is found between the elements of the array andits far zone pattern. The radiated power is shown to consist of distinct modes; the magnitude of each is related directly to the elements.The total radiated power is calculated for basic, broadside and end-fire arrays, in terms of the interaction coefficients. The lower bound of thestored energy and the Q factor of the array are found. A figure of merit for the array is defined. A method of analyzing a given array from amplitude measurements of the pattern is given. Two examples are given for linear arrays which produce a prescribed pattern. Comparison between an array with equi-spaced elements and an array with arbitrarily distributed elements shows that the latter requires fewer elements and gives better performance.