Analysis and correction of misalignment-induced aberrations in two-mirror telescopes with stop on the secondary mirror

Yang Wang; Yingrui Li; Zhiyuan Gu; Lei Zhang; Yuegang Fu

doi:10.1364/AO.478248

Applied Optics
Vol. 62,
Issue 5,
pp. 1136-1143
(2023)
•https://doi.org/10.1364/AO.478248

Analysis and correction of misalignment-induced aberrations in two-mirror telescopes with stop on the secondary mirror

Yang Wang, Yingrui Li, Zhiyuan Gu, Lei Zhang, and Yuegang Fu

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Yang Wang, Yingrui Li, Zhiyuan Gu, Lei Zhang, and Yuegang Fu, "Analysis and correction of misalignment-induced aberrations in two-mirror telescopes with stop on the secondary mirror," Appl. Opt. 62, 1136-1143 (2023)

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Abstract

We study the problem of misalignment aberration analysis and correction of the two-mirror telescopes with stop on the secondary mirror. The variation law of the system’s aberration field is analyzed with nodal aberration theory when the primary mirror with an astigmatic figure error is misaligned. The analytic expression among the system wave aberration, misalignments, and astigmatism figure error is given, and the correction model of system misalignment aberration is established. The simulation experiment shows that the relative error of the prediction of system misalignment coma and astigmatism based on this model is less than 4.1%.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Surface	Type	Conic	Radius of Curvature (mm)	Thickness (mm)
PM	Quadric	−1	−2666.667	−1000
SM (stop)	Quadric	−1.96	−800	2000
Image	–	–	−368.449	–

Surface	$W_{040} (λ)$	$W_{131} (λ)$	$W_{222} (λ)$	$W_{220 M} (λ)$	$W_{311} (λ)$
PM (sph)	1302.109	−606.045	70.518	−5.641	−6.892
PM (asph)	−1302.109	363.627	−25.387	0.000	1.772
SM (sph)	−369.232	235.684	−37.610	18.805	0.000
SM (asph)	369.232	0.000	0.000	0.000	0.000
Sum	0.000	−6.734	7.522	13.163	−5.120

	$C_{5}$ ( $λ$ )	$C_{6}$ ( $λ$ )	$C_{7}$ ( $λ$ )	$C_{8}$ ( $λ$ )
(0°, 0°)	−1.950	2.927	0.886	−0.855
(0.5°, 0°)	−5.979	2.759	0.897	−3.211

Type	${X D E}_{P M}$ (mm)	${Y D E}_{P M}$ (mm)	${A D E}_{P M}$ (deg)	${B D E}_{P M}$ (deg)	$C_{5 - f}$ ( $λ$ )	$C_{6 - f}$ ( $λ$ )
Value	0.068817	−0.515662	−0.01716	0.00251	0.972905	−1.46421
Absolute error	−0.18118	−0.31566	−0.01416	0.00751	−0.0271	0.03579
Relative error	72.47%	157.83%	472.00%	150.20%	2.71%	2.39%

Type	${X D E}_{P M}$ (mm)	${Y D E}_{P M}$ (mm)	${A D E}_{P M}$ (deg)	${B D E}_{P M}$ (deg)	$C_{5 - f}$ ( $λ$ )	$C_{6 - f}$ ( $λ$ )
Value	0.22754	−0.19214	−0.00283	−0.00452	0.97023	−1.47272
Absolute error	0.02246	−0.00786	−0.00017	−0.00048	0.02977	−0.02728
Relative error	8.99%	3.93%	5.63%	9.65%	2.98%	1.82%

Abstract

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Applied Optics