A unified approach to array-factor synthesis for line arrays with nonuniformly positioned elements

An approach for the design of line arrays which synthesizes array factors having desired attributes is developed. This approach draws upon, clarifies, and expands earlier developments in nonuniformly positioned line-array design. A new array with important characteristics, called the square-root design, is derived. The approach is also applied to formulation and evaluation of design tradeoff studies. Specific examples are given for exponential and square-root arrays.