Synthesis of broad-band arrays with arbitrary frequency-independent elements

The application of dynamic programming to the synthesis of broad-band antenna arrays with arbitrary frequency-independent elements is investigated. Four criteria are proposed for the optimization of the array. By employing these criteria it is shown that the optimum array is the one with monotonic spacings. For such arrays the principle of optimality is proved and the limits, within which dynamic programming is applied, are analytically calculated. A 35-element array with ratio of upper-to-lower frequencies equal to 3 is synthesized by this method.