Cross-correlation antenna systems with modified principal solution spatial frequency transfer functions

A fundamental problem in linear array or line source theory is related to the determination of the weighting distribution (array currents) to synthesize a desired field strength radiation pattern. Utukuri and MacPhie (1967) used cross-correlation (multiplicative) techniques with a linear equispaced array to obtain a spatial frequency transfer function (SFTF) which was uniform (flat) over the entire passband. MacPhie and Chow (1968) found the generalization to the line source. In both cases the actual weighting distributions exhibit an inverse taper with the strongest weighting at the end points of the array or line source. In addition, the power pattern, of the sin (Lu)/Lu type, has sidelobes which are high and diminish slowly. The present investigation has the objective to mitigate these two drawbacks. The flat SFTF line source solution is generalized, and applications to linear antenna arrays are considered.