Fiber position measurement method in LAMOST based on external planar target

Abstract

In the Large Sky Area Multi-Object Fiber Spectroscopic Telescope (LAMOST) project, the fiber should precisely align with the celestial target to obtain the spectrum of the star, and the position accuracy of the fiber in the focal plane directly affects the spectral quality. LAMOST uses photogrammetry to acquire the actual position of the fiber. However, the fiber view camera system without precise internal control points in the focal plane negatively affects measurement precision. To solve this problem, we propose a fiber position measurement method based on the external planar target (EPT) that replaces the internal control points with the external control points; multiview reconstruction and bundle adjustment with additional position constraints are used to calculate the position of the fibers. The validity of the measurement method is verified by the simulation and experiment. The preliminary results show that the method has good stability and the measurement accuracy of the fibers can reach 20 μm. Because the external control points are distributed on the EPT plane, the assembly error of the EPT and focal plane does not affect the measurement accuracy. Therefore, the proposed method can achieve precision measurement under nonprecision installation conditions.

Novel Fiducial Fiber Scanning Measurement Method Based on a Polar Coordinate System for LAMOST

“…According to the geometric relationship shown in Figure 2, the following equations are obtained. Because of the angle j ≈ 0, the positioning error of the fiber δ S is mainly reflected in d X Y F F , and the Z F -direction error d Z F is negligible (Zhang et al 2022):…”