Radiation patterns of linear arrays
Ramey, Simon Everett
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The purpose of this paper is to consider in general the sum and difference patterns of symmetric linear arrays of 2n elements, showing, where mathematically feasible, the relationship existing between them, and to determine the behavior of the phase and amplitude characteristics resulting from their superposition. The sum pattern is defined in the same sense as the broadside pattern with uniform phase distribution; the difference pattern differs from the broadside pattern in that the excitation of all radiators on one side of the array is reversed in phase. Three types of array as regards amplitude distribution are exemplified. The array in which the amplitude of the exciting currents in its radiating elements are proportional to the binomial coefficients and the uniform array are chosen as examples of the extremes, while the array with an amplitude distribution which produces equal side lobes with optimum beam width serves as the intermediate array. In particular the patterns are calculated and plotted for an eight-element array of unspecified spacing, and a specific example is given for an electrical spacing of 252 degrees. It is shown that in general the characteristics of the difference pattern are predictable qualitatively from a knowledge of the sum characteristics.
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