基于最小二乘法的天线变形反射面的拟合

面天线变形反射面表达式的确立是计算其电性能的重要基础 ,提出的拟合方法就是用来精确确定变形反射面的数学方程的。其基本原理是通过分析天线结构 ,根据反射面节点位移 ,最小化整个曲面上采样型值点的轴向误差的均方根 ,从而求出用来确定变形抛物面几何位置的 6个参数 ,同时也就得到了基于最小二乘法的变形反射面方程。该拟合方法简单实用 ,易于程序实现 ,能够对天线机械结构设计人员提供了理论指导与帮助。

Fitting of Distorted Reflector Antenna Surface Based on Least Square Method

Establishment of the equation of the distorted reflector antenna surface is important for calculating antenna performances. A new surface fitting method is proposed which is based on least square method to derive the math expression of distorted parabolic reflector accurately. That is, the six parameters determining the geometric position of the distorted paraboloid can be obtained by analyzing the antenna structure and the displacement of nodes of the reflector, then minimizing the root mean square of the axial errors of the sampled nodes in whole aperture. It follows that the corresponding equations of the distorted reflector can be derived. Being simple, practical, and easy to realize in programs, the method could provide some theoretical guidance and assistance for the machanical structure designer of antenna.