Analyse of pointing and tracking error with three concentric spheres optical system
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摘要: 针对独有的跟踪方式，具体讨论了激光通信三同心球光学系统的跟瞄方案，并进行了具体规划。通过对通信跟踪光路和通信接收光路的视场和精度分析，给出了二者的相关参数，作为Matlab理论计算跟踪像面轨道的依据。利用Tracepro软件模拟了引入相关误差量后的通信跟踪和通信接收像面光斑质心偏移和光斑大小变化情况。仿真结果显示：随着角度的旋转，通信接收的质心偏差在±4 μm范围内，通信跟踪的质心偏差在±50 μm范围内；通信接收像面光斑直径小于80 μm，通信跟踪像面光斑直径均在400 μm以内。系统所引入的误差在允许范围之内，不影响相关跟踪通信功能。Abstract: According to unique tracking mode, the specific tracking program of three concentric spherical optical system which used in laser communication is discussed. By analyzing field of view and precision in the communication tracking optical path and the communication receiving optical path, the main relating parameters are given on the basis of theoretical calculation of tracking trajectory with Matlab. Using the software of Tracepro, the optical simulation of spot centroid and spot size of image plane in communication tracking optical path and the communication receiving optical path are performed after the introduction of relevant error. The simulation results show that centroid deviation of communication reception and communication tracking are in the ranges of ±4 μm and ±50 μm, respectively. Spot diameter deviation of communication reception and communication tracking are less than 80 μm and 400 μm respectively, which do not affect the relating function on tracking and communicating.
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图 1 三同心球天线结构总体方案示意图
Figure 1. Schematic diagram of antenna structure with three concentric sphere
图 5 18°下通信跟踪和通信接收像面
Figure 5. Image planes of communication reception and communication tracking under 18 degree
图 6 通信接收及通信跟踪光斑质心变化偏差图
Figure 6. Barycenter deviation of communication reception and communication tracking
表 1 三同心球光学系统参数表
Table 1. Parameters of three concentric sphere system
分系统名称 指标 参数 三同心球光路 视场/(°) 120 像面半径/mm 158.4 通信跟踪光路 视场/mrad 3 跟踪精度/μrad 100 通信接收光路 视场/mrad 1.5 
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表 2 不同角度下的轨道半径偏离表
Table 2. Orbit radius deviation under the different angles
X坐标 Y坐标 跟踪面轨道半径/mm 0° 0 158.043 2 158.043 1 18° 48.863 5 150.386 5 158.125 7 30° 79.134 5 137.064 9 158.268 9 42° 106.041 0 117.770 4 158.475 7 50° 121.538 7 101.974 7 158.644 4 60° 137.597 7 79.442 1 158.884 2 平均值 / / 158.407 0
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表 3 通信接收和通信跟踪光斑中心偏差
Table 3. Light spot center deviation of communication reception and communication tracking
角度/(°) 通信接收光路像面 通信跟踪光路像面 子午偏差/μm 弧矢偏差/μm 子午偏差/μm 弧矢偏差/μm 0 1.92 -2.15 -52.32 0 18 0.79 0.51 5.39 0 30 0.87 -0.04 -15.09 0 42 -0.42 0.51 1.78 0 50 -3.86 0.66 50.02 0 60 0.70 0.51 10.23 0
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表 4 通信接收和通信跟踪光斑大小偏差
Table 4. Light spot deviation of communication reception and communication tracking
角度/(°) 通信接收光斑直径/mm 通信跟踪光斑直径/mm 0 0.054 3 0.338 7 18 0.069 4 0.272 3 30 0.070 0 0.308 4 42 0.073 8 0.362 6 50 0.078 4 0.409 7 60 0.070 5 0.328 2
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