Rapid calculation method for backscattered light of a space gravitational-wave detection telescope

Jinhang Zhou; Yiping Wang; Zhenning Luo; Zizheng Li; Hongchao Zhao; Hongchao Zhao; Lei Fan; Yong Yan

doi:10.1364/AO.504524

Applied Optics
Vol. 62,
Issue 34,
pp. 9175-9182
(2023)
•https://doi.org/10.1364/AO.504524

Rapid calculation method for backscattered light of a space gravitational-wave detection telescope

Jinhang Zhou, Yiping Wang, Zhenning Luo, Zizheng Li, Hongchao Zhao, Lei Fan, and Yong Yan

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Jinhang Zhou, Yiping Wang, Zhenning Luo, Zizheng Li, Hongchao Zhao, Lei Fan, and Yong Yan, "Rapid calculation method for backscattered light of a space gravitational-wave detection telescope," Appl. Opt. 62, 9175-9182 (2023)

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Abstract

Stray light is a key issue that must be considered in the TianQin telescope. To solve the problem of a long simulation time and the inability of the simulation results to be fed back to guide the optical design, we propose a fast estimation method for stray light based on the FOV with high accuracy. Compared to other models, the error between our model and the software simulation results is smaller, within one order of magnitude. Based on this method, we obtain the optical component target of the TianQin telescope and propose an optimization method to reduce stray light, which can be verified by analyzing the optimized optical design.

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Data availability

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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Equations (20)

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	$\bar{θ}$	$B R D F (\bar{θ})$
M1	4.596°	$4.895 \times 10^{- 5}$
M2	5.201°	$3.82 \times 10^{- 5}$
M3	8.033°	$1.61 \times 10^{- 5}$
M4	7.43°	$1.88 \times 10^{- 5}$

	Magnification	$δ θ$	$Ω$
M1	1	$4.187 \times 10^{- 4} r a d$	$5.51 \times 10^{- 7}$
M2	11.7	$4.9 \times 10^{- 3} r a d$	$7.54 \times 10^{- 5}$
M3	1	$4.9 \times 10^{- 3} r a d$	$7.54 \times 10^{- 5}$
M4	6.41	0.0314 rad	$3.1 \times 10^{- 3}$

	$B R D F (\bar{θ})$	$Ω$	FOV Model Results
M1	$4.89 \times 10^{- 5}$	$4.187 \times 10^{- 4} r a d$	$5.51 \times 10^{- 7}$
M2	$3.82 \times 10^{- 5}$	$4.9 \times 10^{- 3} r a d$	$7.54 \times 10^{- 5}$
M3	$1.61 \times 10^{- 5}$	$4.9 \times 10^{- 3} r a d$	$7.54 \times 10^{- 5}$
M4	$1.88 \times 10^{- 5}$	0.0314 rad	$3.1 \times 10^{- 3}$

	Stray Light	Contribution
Total	$4.74 \times 10^{- 8}$	1
M1	$5.02 \times 10^{- 11}$	$\approx 1 %$
M2	$1.79 \times 10^{- 9}$	$\approx 3.77 %$
M3	$2.26 \times 10^{- 8}$	$\approx 47.6 %$
M4	$2.29 \times 10^{- 8}$	$\approx 48.3 %$
Multiple	$1.623 \times 10^{- 12}$	$\approx 0 %$

	Simulation	FOV Model	Nardello and Lintz Model
Total	$4.74 \times 10^{- 8}$	$6.02 \times 10^{- 8}$	$6.78 \times 10^{- 11}$
M1	$5.02 \times 10^{- 11}$	$1.14 \times 10^{- 11}$	$1.807 \times 10^{- 15}$
M2	$1.79 \times 10^{- 9}$	$1.53 \times 10^{- 9}$	$1.458 \times 10^{- 12}$
M3	$2.26 \times 10^{- 8}$	$1.34 \times 10^{- 8}$	$5.014 \times 10^{- 11}$
M4	$2.29 \times 10^{- 8}$	$5.74 \times 10^{- 8}$	$1.624 \times 10^{- 11}$

	$\bar{θ}$	$Ω$	FOV Model	Simulation Results
Total			$6.43 \times 10^{- 9}$	$1.275 \times 10^{- 8}$
M1	9.117°	$2.54 \times 10^{- 8}$	$3.15 \times 10^{- 13}$	$\approx 0 %$
M2	9.412°	$2.25 \times 10^{- 11}$	$2.61 \times 10^{- 10}$	$1.75 \times 10^{- 9}$
M3	6.688°	$1.12 \times 10^{- 9}$	$2.56 \times 10^{- 9}$	$2.9 \times 10^{- 9}$
M4	6.726°	$1.59 \times 10^{- 8}$	$3.61 \times 10^{- 9}$	$8.1 \times 10^{- 9}$

Abstract

Data availability

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Figures (7)

Tables (6)

Equations (20)

Applied Optics