Some equivalences between equally and unequally spaced arrays

General analytical expressions are presented for unequally spaced arrays. These relations allow for the analysis of the nonuniformly spaced array in terms of its equivalent uniformly spaced array. The inherent broad-band qualities of the nonuniformly spaced array are discussed. Some equivalence is made between the amplitude and spatial variation in the uniformly and nonuniformly spaced array. The general synthesis problem is discussed. An array with monotonically increasing interelement spacings is presented as an example of the theory.