Cooled infrared coaxial four-mirror system design with a low F-number

Shuqing Zhang; Guangsen Liu; Zhile Wang; Jiayi Xie; Lingyun Ji; Xiaobo He; Shanjun Tang

doi:10.1364/AO.494215

Applied Optics
Vol. 62,
Issue 23,
pp. 6234-6240
(2023)
•https://doi.org/10.1364/AO.494215

Cooled infrared coaxial four-mirror system design with a low F-number

Shuqing Zhang, Guangsen Liu, Zhile Wang, Jiayi Xie, Lingyun Ji, Xiaobo He, and Shanjun Tang

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Shuqing Zhang, Guangsen Liu, Zhile Wang, Jiayi Xie, Lingyun Ji, Xiaobo He, and Shanjun Tang, "Cooled infrared coaxial four-mirror system design with a low F-number," Appl. Opt. 62, 6234-6240 (2023)

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Abstract

A low F-number and 100% cold stop efficiency are beneficial for improving the performance of optical systems and have a wide range of applications in various thermal imaging scenarios. The cooled infrared coaxial four-mirror system can meet these two requirements, improve system integration, and reduce adjustment costs and difficulties. However, the secondary obstruction caused by the central hole of the third mirror will generate potential stray light. A structure model is proposed in which the primary mirror and the quaternary mirror are processed on the same mirror blank. In this model, a method is given to calculate system parameters using the obstruction ratio and magnification of each mirror. To evaluate the performance of the method, two design examples with different F-numbers (1.4, 1.0) were constructed. The influence of initial structural constraints on the exit pupil position and secondary obstruction was analyzed based on the design objectives of the examples. The aberrations were optimized by targeting the spot. In the optimization process, the incident coordinates and directions of the restricted edge field rays in the tertiary mirror and the quaternary mirror were limited to achieve control of the obstruction caused by the holes in the center of the mirrors. In the results, the RMS spot radius of the two design examples is smaller than the Airy disk radius, and the axial beam wavefront deviation RMS values are ${0.026}\lambda$ and ${0.024}\lambda$, respectively. Moreover, the obstruction caused by the central holes of the mirrors is controlled within the given field of view. The results show that the proposed model and method can be used to design a low F-number cooled infrared coaxial four-mirror system and have good application prospects.

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Corrections

9 August 2023: A correction was made to Fig. 5.

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Data availability

Key data for design results have been given in the paper. In addition, the data that support this study are available from the corresponding author upon reasonable request.

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Parameter	Example 1	Example 2
F/#	1.4	1.0
Wavelength range/µm	$8 \sim 12$	$8 \sim 12$
FOV/°	$3.0 \times 3.0$	$2.2 \times 2.2$
Focal length/mm	280	200
Cold stop efficiency/%	100	100
Exit pupil distance/mm	60	30

Parameter	Example 1(mm)	Example 2(mm)
$R_{1}$	$- 205.976$	$- 194.527$
$R_{2}$	$- 96.198$	$- 72.143$
$R_{3}$	$- 310.593$	$- 307.125$
$R_{4}$	418.479	241.005
$d_{1}$	$- 75.103$	$- 74.927$
$d_{2}$	241.462	212.563
$d_{3}$	$- 146.359$	$- 120.000$
Total length	275.313	214.337

Parameter	Example 1	Example 2
F/#	1.4	1.0
Wavelength range/µm	$8 \sim 12$	$8 \sim 12$
FOV/°	$3.0 \times 3.0$	$2.2 \times 2.2$
Focal length/mm	280	200
Cold stop efficiency/%	100	100
Exit pupil distance/mm	60	30

Parameter	Example 1(mm)	Example 2(mm)
$R_{1}$	$- 205.976$	$- 194.527$
$R_{2}$	$- 96.198$	$- 72.143$
$R_{3}$	$- 310.593$	$- 307.125$
$R_{4}$	418.479	241.005
$d_{1}$	$- 75.103$	$- 74.927$
$d_{2}$	241.462	212.563
$d_{3}$	$- 146.359$	$- 120.000$
Total length	275.313	214.337

Abstract

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Applied Optics