Analysis on the Coupling Effects of Telescope Pointing Jitter and Wavefront Distortion （Invited）

Peng WANG; Hongxiao ZHANG; Xudong LIN; Ming LI

doi:10.3788/gzxb20255402.0254105

Acta Photonica Sinica, Volume. 54, Issue 2, 0254105(2025)

Analysis on the Coupling Effects of Telescope Pointing Jitter and Wavefront Distortion （Invited）

Peng WANG... Hongxiao ZHANG, Xudong LIN* and Ming LI |Show fewer author(s)

MOE Key Laboratory of TianQin Mission， TianQin Research Center for Gravitational Physics & School of Physics and Astronomy， Frontiers Science Center for TianQin， CNSA Research Center for Gravitational Waves， Sun Yat-sen University， Zhuhai 519082， China

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Figures & Tables(8)

Fig. 1. Coordinate system of the inter-satellite laser link

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Fig. 2. Coupling noise distribution and residual diagram by Linear approximation and traversal methods

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Fig. 3. The distribution coupling noise and residual diagram with traversal error

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Fig. 4. Simulation diagram of pointing jitter when coupling noise is 1 and 10 pm/Hz^1/2 at different wavefront quality RMS values

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Table 1. The first 10 Zernike aberrations

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Table 1. The first 10 Zernike aberrations

Order	Aberration type	n， m	Z $_{n}^{m}$ （ρ， θ）
1	X tilt	Z $_{1}^{1}$	$2 ρ c o s (θ)$
2	Y tilt	Z $_{1}^{- 1}$	$2 ρ s i n (θ)$
3	Defocus	Z $_{2}^{0}$	$\sqrt[]{3} (2 ρ^{2} - 1)$
4	Astigmatism xy	Z $_{2}^{2}$	$\sqrt[]{6} ρ^{2} c o s (2 θ)$
5	Astigmatism 45°	Z $_{2}^{- 2}$	$\sqrt[]{6} ρ^{2} s i n (2 θ)$
6	Coma x	Z $_{3}^{1}$	$\sqrt[]{8} (3 ρ^{3} - 2 ρ) c o s (θ)$
7	Coma y	Z $_{3}^{- 1}$	$\sqrt[]{8} (3 ρ^{3} - 2 ρ) s i n (θ)$
8	3-foil x	Z $_{3}^{3}$	$\sqrt[]{8} ρ^{3} s i n (3 θ)$
9	3-foil y	Z $_{3}^{- 3}$	$\sqrt[]{8} ρ^{3} c o s (3 θ)$
10	Spherical	Z $_{4}^{0}$	$\sqrt[]{5} (6 ρ^{4} - 6 ρ^{2} + 1)$

Table 2. Coefficient table of first 10 Zernike aberrations
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Table 2. Coefficient table of first 10 Zernike aberrations
Z $_{2}^{- 2}$ Z $_{2}^{0}$ Z $_{2}^{2}$ Z $_{3}^{- 3}$ Z $_{3}^{- 1}$ Z $_{3}^{1}$ Z $_{3}^{3}$ Z $_{4}^{0}$
-1.52 nm 5.59 nm 9.39 nm -9.39 nm -12.69 nm 8.38 nm 19.04 nm 21.33 nm

Table 3. The main steps of differential evolution algorithm

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Table 3. The main steps of differential evolution algorithm

The main steps of differential evolution algorithm
1	Initialize：Generate a set of populations （solution vectors） in the search space
2	Loop	Mutation： Comparing the generated multiple solution vectors to obtain a new population
3		Repair： Compare the old and new populations to decide whether to repair the population beyond the search space
4		Recombination： Hybridization between old and new populations continues to evolve
5	Until	Selection： Determine the fitness of the solution vector to decide whether to update the population

Table 4. The main parameters of differential evolution algorithm
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Table 4. The main parameters of differential evolution algorithm
Strategy Bounds Mutation Recombination Max iteration Tolerance
Best1bin 1~10 nrad 0.5 0.7 1×10³ 1×10^-4

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Peng WANG, Hongxiao ZHANG, Xudong LIN, Ming LI. Analysis on the Coupling Effects of Telescope Pointing Jitter and Wavefront Distortion （Invited）[J]. Acta Photonica Sinica, 2025, 54(2): 0254105

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