AbstractIn manufacturing and installation process or in an actual working condition, thereis always something uncertain for an antenna. For the reflector antennas, theseuncertainties would make the antenna surface distorted as well as the position andpointing angel of the feed phase center. And for the array antennas, it will cause theunits position and feed network amplitude and phase of uncertainty, which will furtherled to the electrical performance range in a certain interval. In this paper, intervals areused to express the uncertain parameters of antennas. The influences of the uncertainerrors on antenna structure and electrical performance are analyzed based onnon-probabilistic interval method.The effect of the uncertain errors of reflector antenna on the electricalperformance is analyzed based on the non-probability interval method in this paper.The relationship between the position errors as well as the pointing angel errors of thefeed phase center and the aperture electromagnetic field is deduced. An intervalnumerical model, which reflects the effect of the uncertain errors of reflector antennaon the far field pattern, is established. The trigonometric function is used to express thecomplex exponential and its numerical results are solved so as to calculate intervalcomplex exponential. Meanwhile, the lower and upper bounds of the power patternfunction is obtained according to the method above.In this paper, the effect of the uncertain random errors of array antenna on theelectrical performance is also analyzed based on the non-probability interval method.Array antenna random errors including feed network amplitude and phase errors andthe unit position error. The relationship between random uncertainty errors and theaperture electromagnetic field is given. And an interval model, which reflects the effectof the random uncertain errors of array antenna on the far field pattern, is established.According to the interval arithmetic rule, the upper and lower bounds of the far filedpower pattern for array antennas is obtained. The indexes of electrical performanceachieved are intervals, which can provide theoretical support and reference for theantenna designers.Keywords:Reflector antennaFeed errorsArray antennarandomerrorsInterval analysisLower and upper bounds of power pattern目录第一章绪论.11.1天线简介.11.2工程研究背景及意义.31.3区间方法的发展现状.61.4论文研究内容和结构安排.7第二章非概率区间方法的介绍.92.1引言.92.2区间数学的基础知识.92.2.1实数区间的概念及其运算.92.2.2复区间数及其运算. 112.3区间截断方法的介绍.122.3.1函数的区间扩张.122.3.2区间截断法.132.3.3截断因子的选取.152.4本章小结.16第三章天线基本理论.173.1引言.173.2天线的辐射方向图.173.3反射面天线的基本理论.183.3.1旋转抛物面天线的几何特性.183.3.2反射面天线的电磁场分布特性.203.4阵列天线的基本理论.223.4.1方向图乘积定理.223.4.2天线单元(对称振子)的辐射方向图.233.4.3平面阵天线的电磁场分布特性.