Preliminary design of paraboloidal reflectors with flat facets

Preliminary design of paraboloidal reflectors with flat facets
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平面抛物面反射镜的初步设计

DOI:
10.1016/j.actaastro.2013.03.027
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发表时间:
2013-08
期刊:
影响因子:
3.5
通讯作者:
Hongjun Cao
Hongjun Cao
中科院分区:
工程技术3区
文献类型:
--
作者:
Dongwu Yang;Shuxin Zhang;Tuanjie Li;Hongjun Cao

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基于用平面或三角形索网逼近天线面的概念,讨论了抛物面的几何剖分方法。该方案首先将抛物面在孔径圆处等分为六段,形成正六边形。然后,将正六边形细分为相等的正三角形以形成子单元。最后,将这些三角形的交点投影或映射到抛物面上,使用合适的坐标原点,以获得构件沿沿着旋转轴方向的最终节点坐标。开发了用于实际表面与期望表面的系统偏差与天线孔径表面上的正三角形的边长之间的关系的表达式,该表达式可用于确定正三角形的边长,并且进而确定满足天线表面精度要求所需的反射器表面小平面的尺寸。以0.6 m偏置抛物面反射器为例,仿真结果表明了该方法在设计平面抛物面反射器中的有效性。
Based on the concept of approximating antenna surfaces using flat facets or triangulated cable networks, a geometric scheme to subdivide a parabolic surface is discussed. According to the proposed scheme, the paraboloid is divided at the aperture circle into six equal segments first, which form a regular hexagon. Then the regular hexagon is subdivided into equal regular triangles to form subelements. Finally, the points of intersection of these triangles are projected or mapped on the paraboloid surface using a suitable origin of coordinates to obtain the final nodal coordinates of the members along the revolution axis direction. An expression for the relation between the systematic deviation of the actual surface from the desired surface and the side length of the regular triangles on the antenna's aperture surface is developed, which can be used to determine the side length of the regular triangles, and in turn to determine the size of the reflector surface facets necessary to meet antenna surface accuracy requirements. Application on a 0.6-m offset reflector is described and the simulation results demonstrate the effectiveness of the proposed technique in design of paraboloidal reflectors with flat facets.
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