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本文利用一致性几何绕射理论(UTD)计算了口径尺寸分别为11.5米(4GHz,6GHz),6.2米(4GHz)和3米(12GHz)的整形卡塞格伦天线的非近轴辐射场,并将6.2米整形卡氏天线的实测方向图与计算结果进行了比较。对几何绕射理论中过渡函数的几种主要数值算法的计算时间、计算精度、误差分布、适用范围等进行了系统的评价,为不同的计算要求提供了选择最佳算法的依据。本文还介绍了一种适合工程计算要求的简捷的过渡函数近似算法。针对UTD计算中必须处理众多射线的困难,本文还从理论上证明了一些相关射线是可以合併的,并将射线合併的方法应用到整形卡氏天线的计算机优化设计和计算工作中,大大减少了计算工作量。
In this paper, the non-paraxial radiation fields of the shaped Cassegrain antenna with aperture sizes of 11.5 m (4 GHz, 6 GHz), 6.2 m (4 GHz) and 3 m (12 GHz) are calculated by the UTD method. The measured figure of 6.2 m truss card antenna is compared with the calculated result. This paper systematically evaluates the calculation time, calculation precision, error distribution and application range of several main numerical algorithms of transition function in the theory of geometrical diffraction, and provides the basis for selecting the best algorithm for different calculation requirements. This paper also introduces a simple approximation algorithm for transitional functions that is suitable for engineering calculation. In order to deal with the difficulty of many rays in UTD calculation, this paper also theoretically proves that some related rays can be merged, and the method of ray combination can be applied to the computer optimization design and calculation work of the modified Cartesian antenna greatly reduced Calculate the workload.