一定约束下主动反射面的形状调节

Shape Adjustment of Active Reflector under Certain Constraints

摘要: 利用抛物面型射电望远镜观测天体时，往往需要调节主动反射面变为工作抛物面，并让该工作抛物面尽量贴近理想抛物面，以使馈源仓接收到天体反射电磁波的效果最佳。本文详细讨论了在一个特殊角度下，建立单目标最优化模型来确定理想抛物面，再通过空间坐标的旋转求出任意角度下的理想抛物面。分析了在一定约束下，通过调节促动器的伸缩量，使工作抛物面逼近理想抛物面。具体讲述了馈源仓接收反射信号的接收方式、反射信号及有效信号接收量的计算、定义了馈源仓的接收比的计算方法。

Abstract: When using a parabolic radio telescope to observe celestial bodies, it is often necessary to adjust the active reflector to become a working paraboloid, and make the working paraboloid as close as pos-sible to the ideal paraboloid, so that the feed bin can receive the best effect of the reflected electro-magnetic waves from the celestial body. This paper discusses in detail the establishment of a sin-gle-objective optimization model under a special angle to determine the ideal paraboloid, and then obtains the ideal paraboloid at any angle through the rotation of the space coordinates. It is ana-lyzed that the working paraboloid can approach the ideal paraboloid by adjusting the expansion and contraction of the actuator under certain constraints. Specifically, the receiving method of the reflected signal received by the feed bin, the calculation of the reflected signal and the effective sig-nal received, and the calculation method of the receiving ratio of the feed bin are defined.