Abstract

With the increase of the working frequency of the array antenna, tolerance design has become increasingly important. The state-of-art tolerance design methods mainly deal with the position tolerance of the discrete elements. However, the geometric errors of the whole array have resulted from two aspects: (1) the position errors of the discrete elements and (2) the form errors of the continuous reflection plate. To optimize the position tolerance and flatness simultaneously, a hybrid tolerance design method is proposed. First, the relation between the performance of the array antenna and hybrid tolerances was determined based on the second order Taylor expansion. Then the expectation and variance of the performance were derived. Finally, the hybrid tolerances were optimized and the performance of the antenna was improved. Simulation results proved the effectiveness and efficiency of the proposed hybrid tolerance design method.

Highlights

  • The position error of the element is composed of two parts: the discrete error and the continuous error

  • The discrete error results from the assembly of the element, and the continuous error is caused by the manufacture of the reflection plate

  • A hybrid tolerance design method was proposed in this paper, and the position tolerance of

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Summary

Introduction

The geometric errors of the elements seriously affect the electrical performance [1,2,3], where the position errors cause the dominant effect while the effects of rotational errors are negligible [4]. The position error of the element is composed of two parts: the discrete error and the continuous error. The discrete error results from the assembly of the element, and the continuous error is caused by the manufacture of the reflection plate. The tolerance design of the elements and the reflection plate is very important The discrete errors are independent of each other, while the continuous errors are dependent variables due to the continuous deformation of the plate [5].

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