Effect and compensate of grating curvature radius error in Seya-Namioka monochromator
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摘要: Seya-Namioka光栅制作过程中的曲率半径误差会引起离焦像差，该像差会对光栅单色仪的光谱性能造成极大的影响。本文基于光线追迹理论，模拟分析了曲率半径误差对Seya-Namioka光栅的具体影响。分析结果表明，出入臂长度对曲率半径误差有很好的补偿作用，通过调整出入臂长度曲率半径误差的容许范围可增大到2 mm左右。总调整量不变的情况下，任意改变出入臂的长度，补偿效果相似。随着误差的增加需要调整的出入臂长度值变大，过大的误差使用出入臂长度无法进行补偿；出入臂夹角仅能对正向曲率半径误差进行补偿，且补偿所需调整角过大，影响单色仪的结构设计，该方法并不实用。结果可为单色仪的设计和使用提供理论参考。
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关键词:
- 曲率半径误差 /
- Seya-Namioka光栅 /
- 光线追迹 /
- 使用参数 /
- 误差补偿
Abstract: The curvature radius error in the Seya-Namioka grating process can cause defocus aberration, which may have a great impact on the spectral performance of the grating monochromator. Based on the theory of ray tracing, we simulate and analyze the impact of curvature radius error on Seya-Namioka grating. The analysis results show that the length of the entrance and exit arm has a good compensating effect on the curvature radius error. By adjusting the length of the entrance and exit arm, the allowable range of the curvature radius error can be increased to about 2 mm. If the total adjustment amount is not changed and the length of the access arm is arbitrarily changed, the compensation effect is similar. As the error increases, the length of the arm that needs to be adjusted becomes larger, and the excessive error makes the length of the arm unable to be compensated. In addition, changing the angle between the arm and the arm can only compensate for the error of the positive curvature radius. The adjustment angle needed for compensation is too large, which will affect the design structure of the monochromator, and it is not practical to compensate the curvature radius error by changing the angle of the entrance and exit arm. The research results in this paper show that by adjusting the parameters of the grating, the influence of errors can be reduced and the margin of error can be extended.-
Key words:
- curvature radius error /
- Seya-Namioka grating /
- ray-tracing /
- error compensation /
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图 1 Seya-Namioka光栅光学系统示意图
Figure 1. Schematic diagram of the Seya-Namioka grating optical system
图 3 出入臂长度与离焦像差的关系
Figure 3. Relationship of exit and entrance slit distance and defocus aberration
图 4 出入臂长度与曲率半径误差的关系
Figure 4. Relationship of exit and entrance slit distance and radius
图 5 同时改变出入臂长度的误差补偿图
Figure 5. Error compensation with the change of exit and entrance slit distance
图 6 总调整量±1.3 mm的误差补偿图
Figure 6. Error compensation for the total adjustment amount of ±1.3 mm
图 8 出入臂夹角对曲率半径误差的补偿图
Figure 8. Error compensation with the change of exit and entrance slit angle
表 1 总调整量与曲率半径误差的关系
Table 1. Relationship between the total adjustment amount and radius error
曲率半径误差值/mm 0.1 0.2 0.5 1.0 2.0 总调整量/mm 0.3 0.5 1.3 2.6 5.3 
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