Abstract
ABSTRACT As one source type of random surface errors, misalignment errors usually lead to petal rigid body rotation or translation for petal-type deployable reflectors, which deteriorate petal-type surface from its ideal parabolic shape. To evaluate the effects of misalignment errors on antenna performance, a novel method is proposed to reveal the degradation of petal misalignment errors on average radiation pattern for petal-type deployable reflectors. Based on coordinate transformations, the surface deviation from ideal parabolic shape caused by petal misalignment errors is introduced into an explicit far-field formula, which promotes the far-field formula as explicit functions of petal misalignment displacements in this novel method. By assuming Gaussian distribution of misalignment errors, the average radiation patterns with varying standard deviations of petal misalignment errors are obtained. Compared with the existing methods of random error characterisation, the effectiveness of the proposed method is verified. Simulations show that among the petal misalignment errors, both the petal rigid body rotation around hinge link axis and translation along boresight direction provide deterioration effects on antenna radiation pattern, and the proposed method can provide design guidelines for hinge structural design.
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