Prof. Xinghua Li Profile

Prof. Xinghua Li

at Tianjin Univ

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Proceedings Article | 12 January 2018 Paper

Analysis on influence of installation error of off-axis three-mirror optical system on imaging line-of-sight

Lingyu Gao, Xinghua Li, Qianrui Guo, Jing Quan, Zhengyue Hu, Zhikun Su, Dong Zhang, Peilu Liu, Haopeng Li

Proceedings Volume 10621, 106211I (2018) https://doi.org/10.1117/12.2295191

KEYWORDS: Imaging systems, Mirrors, Error analysis, Off axis mirrors, Mathematical modeling, Optical imaging, Systems modeling, Zemax, Light sources

Read Abstract +

The internal structure of off-axis three-mirror system is commonly complex. The mirror installation error in assembly always affects the imaging line-of-sight and further degrades the image quality. Due to the complexity of the optical path in off-axis three-mirror optical system, the straightforward theoretical analysis on the variations of imaging line-of-sight is extremely difficult. In order to simplify the theoretical analysis, an equivalent single-mirror system is proposed and presented in this paper. In addition, the mathematical model of single-mirror system is established and the accurate expressions of imaging coordinate are derived. Utilizing the simulation software ZEMAX, off-axis three-mirror model and single-mirror model are both established. By adjusting the position of mirror and simulating the line-of-sight rotation of optical system, the variations of imaging coordinates are clearly observed. The final simulation results include: in off-axis three-mirror system, the varying sensitivity of the imaging coordinate to the rotation of line-of-sight is approximately 30 um/″; in single-mirror system, the varying sensitivity of the imaging coordinate to the rotation of line-of-sight is 31.5 um/″. Compared to the simulation results of the off-axis three-mirror model, the 5% relative error of single-mirror model analysis highly satisfies the requirement of equivalent analysis and also verifies its validity. This paper presents a new method to analyze the installation error of the mirror in the off-axis three-mirror system influencing on the imaging line-of-sight. Moreover, the off-axis three-mirror model is totally equivalent to the single-mirror model in theoretical analysis.

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