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Abstract
Dynamic programming previously used in the synthesis of unequally spaced linear symmetrical antenna arrays is extended here to the synthesis of circular antenna arrays. An optimum spacing between consecutive elements in a ring with equally spaced elements is first obtained such that the peak side lobe is lowest for a given number of elements. The dynamic programming is next used to synthesize a concentric ring array in a 19 wavelength aperture. The criterion is to obtain a combination of concentric rings in a quantized aperture, which have the lowest value of the peak side lobe level in a specified angular interval. The effect of varying interelement spacing in each ring on the peak side lobe level is also studied by considering (a) λ/1·8 interelement spacing, (b) when elements are placed on intersection of rings and radials. Comparison is done between the radiation pattern of the optimum case of the above three and the aperture with all the quantized positions occupied. The optimum results obtained are verified by considering all possible combinations for a small circular antenna array.