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型面拟合最小量的选取是天线面板型面检测中的关键技术之一.天线表面各点半光程差的均方根是衡量天线型面精度的指标.根据圆锥曲面的几何定义及其光学性质,提出了圆锥曲面天线面板半光程差的直接计算方法,给出了基于半光程差的非线性最小二乘曲面拟合算法.以旋转抛物面天线面板为例,通过模拟和实际测量,对比分析了分别选取轴向误差和半光程差作为最小量拟合计算结果.试验验证了选取半光程差作为最小量拟合的算法具有更高的数值计算精度及稳定性.
The minimum fitting of the surface fitting is one of the key technologies in the antenna panel surface detection.The root mean square of the half optical path difference at each point of the antenna surface is an index to measure the antenna surface accuracy.According to the geometric definition of the conic surface and its Optical properties, a direct calculation method of semi-optical path difference of the conic curved antenna panel is proposed, and a nonlinear least squares curve fitting algorithm based on semi-optical path difference is presented. Taking a rotating parabolic antenna panel as an example, , The axial error and the half-path difference were chosen as the least-squares fitting results respectively.Experimental results show that the algorithm which chooses semi-optical path difference as the least-value fitting has higher numerical accuracy and stability.