Geometrical Optical Theory of Off-Axis Fed Parabolic Cylinder Rellector and Optimization of Feed Position

Li Zong-qian

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Geometrical Optical Theory of Off-Axis Fed Parabolic Cylinder Rellector and Optimization of Feed Position

更新时间：2025-12-08

- Geometrical Optical Theory of Off-Axis Fed Parabolic Cylinder Rellector and Optimization of Feed Position
- Acta Electronica Sinica Issue 5, Pages: 35-43(1982)
- 作者机构：
  
  清华大学
- 作者简介：
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- Published：1982
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[1]李宗谦.抛物柱面偏焦馈电的几何光学理论与馈源位置最优化[J].电子学报,1982(05):35-43.

Li Zong-qian. Geometrical Optical Theory of Off-Axis Fed Parabolic Cylinder Rellector and Optimization of Feed Position[J]. Acta Electronica Sinica, 1982, (5): 35-43.
[1]李宗谦.抛物柱面偏焦馈电的几何光学理论与馈源位置最优化[J].电子学报,1982(05):35-43. DOI：

Li Zong-qian. Geometrical Optical Theory of Off-Axis Fed Parabolic Cylinder Rellector and Optimization of Feed Position[J]. Acta Electronica Sinica, 1982, (5): 35-43. DOI：

摘要

本文讨论了线源对抛物柱面偏焦馈电的几何光学性质

提出了一种判断最优化的几何光学评价函数

计算了最优馈源位置随天线口径尺寸和波束指向角变化的规律。当平行射线斜投射于抛物柱面时

有散焦现象

存在散焦线。本文给出了散焦线的参数方程

由此找到了天线口径尺寸逐渐变小时的最优馈源位置的极限位置。利用标量绕射理论计算了若干典型情况的辐射波瓣图。计算结果表明

几何光学评价函数对工程实际问题是可用的。

Abstract

In this paper

geometrical optical properties of off-axis fed parabolic cylinder reflector are discussed

and the geometrical optical objective function is proposed. The optimal feed positions as a function of the tilted angle and aperture size are obtained with numerical method. Properties of the reflected rays from the parabolic cylinder reflector are discussed

and limit positions of the optimal feed positions are obtained when the antenna aperture size is very small. Some radiation patterns are calculated

and the results show that the geometrical optical objective function is useful for engineering practice.

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