Realizable feed-element patterns and optimum aperture efficiency in multibeam antenna systems

The results of an earlier paper by Y. Rahmat-Samii et al. (ibid., vol.AP-29, pp.961-3, 1981), regarding realizable patterns from feed elements that are part of an array that feeds a reflector antenna, are extended. The earlier paper used a cos^q θ model for the element radiation pattern, whereas here a parametric study is performed, using a model that assumes a central beam of cos^q θ shape, with a constant sidelobe level outside the central beam. Realizable q-values are constrained by the maximum directivity based on feed element area. The optimum aperture efficiency (excluding array feed network losses) in an array-reflector system is evaluated as a function of element spacing using this model as well as the model of the earlier paper. Experimental data for tapered slot antenna arrays are in agreement with the conclusions based on the model