Abstract
ABSTRACTAn innovative analytical method for the evaluation of the directivity patterns of cluster-fed reflector antennas with random feed element position and orientation displacements is presented. In this approach, the sensitivities of the incident magnetic field, far electrical field and directivity are derived with respect to the feed element position and orientation displacements. The effect of random position and orientation displacements on the directivity pattern is investigated via the numerical characteristics of the directivity with pre-calculated sensitivities; meanwhile, the upper and lower bounds of the directivity pattern are illustrated. A seven-element cluster-fed offset reflector is utilised as a numerical example to show the application of this method with different feed element position and orientation displacements. Comparison with the Monte Carlo method demonstrates the effectiveness and applicability of the proposed method.
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