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在太空无重力工作环境下,星载索网天线反射面由张紧的网格平面拼合而成。为尽可能降低天线索网型面的原理误差,提出一种新的索网型面生成方法。方法要求抛物面索网天线型面在天线光学口径面上的投影为正三角形网格,索网反射面的型面结点均取在与理想抛物面同轴且等焦距的某映射抛物面上,投影正三角形的边长由天线反射面的焦距及型面设计的原理误差要求确定,映射抛物面的具体位置由投影正三角的边长及反射面的焦距确定。以空间任意三角形与抛物面之间的轴向方均根误差计算公式的推导为基础,讨论在天线光学口径面上投影面积为定值的空间三角形与抛物面之间轴向方均根误差取得极小值的条件,得出抛物面索网天线型面在天线光学口径面上投影为正三角形网格时原理误差最小的结论。索网型面设计的算例结果表明所提方法有效、实用。
In the space-free gravity environment, the satellite carrier antenna meshing plane by the tension of the flat grid made. In order to reduce the principle error of antenna cable mesh surface as far as possible, a new cable network surface generation method is proposed. The method requires that the projection of the antenna paraboloid antenna plane on the optical aperture of the antenna is a regular triangle grid. The surface nodes of the cable meshing reflective surface are all taken on a mapping paraboloid coaxial and equal focal length with the ideal parabola, The side length of the triangle is determined by the focal length of the antenna reflection surface and the principle error of the design of the reflection surface. The specific position of the mapping parabola is determined by the length of the projected triangle and the focal length of the reflection surface. Based on the derivation of the calculation formula of axial root mean square error between arbitrary triangle and paraboloid, the condition that the axial root mean square error between the spatial triangle and the paraboloid with fixed projection area on the optical aperture surface of the antenna is minimized, Draw the conclusion that the principle error of the parabolic antenna network antenna surface projection on the antenna optical aperture surface is an equilateral triangle mesh. The results of numerical examples of cable mesh surface design show that the proposed method is effective and practical.