Li Renpu, Huo Yujia, Yan Juan, Wen Dandan, Konyakhin Igor, Dang Dinhduan, Zhou Xingye, Huang Guifu, Ma Yong
Appl Opt. 2024 Jan 20;63(3):668-675. doi: 10.1364/AO.510872.
Hollow corner-cube retroreflectors (HCCRs) are an essential reflection component of next-generation lunar laser-ranging technology. The verticality among the three reflectors, known as the right-angle error, is a critical parameter that affects the emission performance, and thus, should be correctly measured and calibrated. However, conventional methods measure the three right-angle errors separately, which can induce error superposition during the measurement process. A one-time measurement method was developed for the three right-angle errors of the HCCR using a single autocollimator (AC). The method establishes a mathematical relationship between the right-angle error of the HCCR and the angle offset of the reflected beam, and it considers the observation coordinates of the AC simultaneously to perform the coordinate transformation of the relationship parameters. The corresponding measurement equation was derived to extract the three-plane right-angle error of the HCCR using the measured readings of a single AC. In addition, a HCCR was designed to freely adjust the angle of the two reflective surfaces and used to simulate the different states of the three right-angle errors in practice. The measurement results show that the root-mean-square error of the proposed method in all right-angle error states is smaller than 16 .
空心角锥棱镜（HCCR）是下一代月球激光测距技术的重要反射组件。三个反射镜之间的垂直度，即直角误差，是影响发射性能的关键参数，因此应正确测量和校准。然而，传统方法是分别测量三个直角误差，这可能会在测量过程中导致误差叠加。利用单个自准直仪（AC）开发了一种一次性测量HCCR三个直角误差的方法。该方法建立了HCCR直角误差与反射光束角度偏移之间的数学关系，并同时考虑AC的观测坐标以进行关系参数的坐标变换。推导了相应的测量方程，以利用单个AC的测量读数提取HCCR的三平面直角误差。此外，设计了一个HCCR来自由调整两个反射面的角度，并用于模拟实际中三个直角误差的不同状态。测量结果表明，该方法在所有直角误差状态下的均方根误差均小于16 。
