Alignment technology based on a central small aperture for the AIMS telescope

Yuliang Shen, E. Kewei, Xing Fu, Dongguang Wang, Junfeng Hou, Ming Liang, and Songbo Xu

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Yuliang Shen, E. Kewei, Xing Fu, Dongguang Wang, Junfeng Hou, Ming Liang, and Songbo Xu, "Alignment technology based on a central small aperture for the AIMS telescope," Appl. Opt. 61, 5646-5656 (2022)

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Abstract

The accurate infrared solar magnetic field measurement system (AIMS) is a 1 m off-axis Gregorian alt-azimuth solar telescope and will be dedicated to measuring the solar magnetic field in mid-infrared. How to align the large-aperture off-axis system is a significant issue. Sub-aperture stitching with the small-aperture standard flat mirror can be applied to the alignment of the large-aperture off-axis system. However, this method is time-consuming and inefficient. We propose an alignment method based on the Zernike polynomials of the central small aperture to solve the low efficiency of sub-aperture stitching. Theoretical simulation shows that the RMS residual error of the system after using the central small-aperture alignment method will be less than ${4.5}\;{{*}}\;{{1}}{{{0}}^{- 6}}\lambda$ at 632.8 nm. Practical alignment suggests that our method can make the RMS value of full-aperture wave aberration quickly converge to ${0.12}\lambda$ at 632.8 nm. Compared with the sub-aperture stitching method, our method can significantly reduce the times of sub-aperture stitching and save the alignment time.

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Surface	Type	Conic Constant	Radius of Curvature (mm)	Aperture (mm)	Off-axis Amount (mm)
M1	Conic	$- 1$	$- 4000$	1000	1000
M2	Conic	$- 0.444$	708.333	220	$- 208.14$

	Wave Aberration ( $λ$ at 632.8 nm)
Order	1	2	3	4	5	6	7	8	9	10
$Z 5$	0.00503	0.00094	0.00629	0.00232	0.00834	$- 0.00848$	0.00138	$- 0.00378$	0.00378	$- 0.00695$
$Z 6$	$- 0.00490$	$- 0.00723$	$- 0.00513$	$- 0.00053$	$- 0.00428$	$- 0.00892$	$- 0.00061$	0.00057	0.00496	0.00652
$Z 7$	0.00012	$- 0.00701$	0.00859	$- 0.00297$	0.00514	0.00062	$- 0.00976$	$- 0.00669$	$- 0.00099$	0.00077
$Z 8$	0.00398	$- 0.00485$	$- 0.00300$	0.00662	0.00508	0.00558	$- 0.00326$	0.00204	$- 0.00832$	0.00992
$Z 10$	0.00782	0.00681	$- 0.00607$	0.00171	$- 0.00239$	0.00868	$- 0.00676$	$- 0.00474$	$- 0.00542$	$- 0.00844$
$Z 11$	0.00919	$- 0.00491$	$- 0.00498$	0.00099	0.00136	$- 0.00740$	0.00589	0.00308	0.00827	$- 0.00115$
	11	12	13	14	15	16	17	18	19	20
$Z 5$	$- 0.00685$	0.00941	0.00914	$- 0.00029$	0.00601	$- 0.00716$	$- 0.00156$	0.00832	0.00584	0.00919
$Z 6$	0.00312	$- 0.00929$	0.00698	0.00868	0.00358	0.00516	0.00486	$- 0.00216$	0.00311	$- 0.00658$
$Z 7$	0.00412	$- 0.00936$	$- 0.00446$	$- 0.00908$	$- 0.00806$	0.00647	0.00390	$- 0.00366$	0.00900	$- 0.00931$
$Z 8$	$- 0.00123$	$- 0.00237$	0.00531	0.00590	$- 0.00626$	$- 0.00020$	$- 0.00109$	0.00293	0.00419	0.00509
$Z 10$	−0.00448	0.00359	0.00310	$- 0.00675$	$- 0.00762$	$- 0.00037$	0.00920	$- 0.00319$	0.00171	$- 0.00552$
$Z 11$	0.00503	$- 0.00490$	0.00012	0.00398	0.00782	0.00919	0.00094	$- 0.00723$	$- 0.00701$	$- 0.00485$

	Wave Aberration ( $λ$ at 632.8 nm)
Order	1	2	3	4	5	6	7	8	9	10
$Z 5$	$- 0.00046$	0.00314	$- 0.01051$	$- 0.00165$	0.01852	0.00187	0.00085	$- 0.01074$	$- 0.00044$	0.00496
$Z 6$	$- 0.00659$	0.00719	$- 0.01454$	0.00885	$- 0.01573$	0.00615	$- 0.00023$	0.01116	0.00860	0.01615
$Z 7$	0.00471	0.01438	0.01222	0.00307	$- 0.01268$	$- 0.01040$	0.01546	$- 0.01885$	$- 0.00040$	$- 0.01328$
$Z 8$	0.01273	0.01270	0.00890	$- 0.01401$	0.00638	0.00074	0.01892	0.00596	0.01201	$- 0.00185$
$Z 10$	0.00108	$- 0.00333$	0.00627	0.00512	$- 0.00832$	$- 0.00273$	$- 0.01938$	0.01936	$- 0.01331$	$- 0.01575$
$Z 11$	0.00192	0.01771	$- 0.00329$	0.01932	$- 0.00794$	0.00804	0.00665	0.00157	0.00792	0.00666
	11	12	13	14	15	16	17	18	19	20
$Z 5$	0.00717	$- 0.00418$	$- 0.00530$	0.01952	$- 0.01849$	0.01541	0.01653	0.01185	$- 0.01605$	$- 0.00953$
$Z 6$	0.01564	$- 0.00663$	0.00795	$- 0.01209$	$- 0.01878$	0.00976	0.00000	$- 0.00080$	0.01619	0.00440
$Z 7$	0.01914	0.00851	0.00002	$- 0.00116$	$- 0.01762$	0.00728	$- 0.01830$	$- 0.01714$	0.00087	$- 0.01613$
$Z 8$	$- 0.00270$	0.01301	$- 0.01666$	$- 0.01467$	$- 0.01306$	$- 0.00436$	0.01326	0.01214	$- 0.01758$	$- 0.00403$
$Z 10$	$- 0.00510$	$- 0.01208$	$- 0.00041$	$- 0.00642$	0.01807	0.01681	$- 0.01789$	0.00951	$- 0.00924$	$- 0.00309$
$Z 11$	$- 0.01287$	$- 0.01488$	0.01996	$- 0.01316$	$- 0.01870$	0.00245	0.01528	0.00677	$- 0.01238$	$- 0.00524$

Aperture (mm)	Ambient Noise ( $λ$ )	$Δ d x$ (mm)	$Δ d y$ (mm)	$Δ d z$ (mm)	$Δ d x$ (°)	$Δ d y$ (°)	$W_{r}$ of Central FOV ( $λ$ )
370	$- 0 . 02 - 0 . 02$	0.0115	0.0300	0.2272	0.0142	0.0017	0.0770
370	$- 0 . 01 - 0 . 01$	0.0048	0.0229	0.1065	0.0057	0.0007	0.0404
450	$- 0 . 02 - 0 . 02$	0.0116	0.0308	0.1157	0.0071	0.0014	0.0341
450	$- 0 . 01 - 0 . 01$	0.0090	0.0180	0.0513	0.0033	0.0005	0.0215
550	$- 0 . 02 - 0 . 02$	0.0036	0.0182	0.0632	0.0030	0.0004	0.0105
550	$- 0 . 01 - 0 . 01$	0.0048	0.0122	0.0281	0.0019	0.0012	0.0116
1000	$- 0 . 02 - 0 . 02$	0.0052	0.0109	0.0109	0.0016	0.0003	0.0014
1000	$- 0 . 01 - 0 . 01$	0.0070	0.0089	0.0064	0.0014	0.0019	0.0010

Motion	Unit	H-850.G2A
Travel range in $X$	mm	$\pm 50$
Travel range in $Y$	mm	$\pm 50$
Travel range in $Z$	mm	$\pm 25$
Rotation range in $θ X$	°	$\pm 15$
Rotation range in $θ Y$	°	$\pm 15$
Rotation range in $θ Z$	°	$\pm 30$
Minimum incremental motion in $X$	µm	1
Minimum incremental motion in $Y$	µm	1
Minimum incremental motion in $Z$	µm	0.5
Minimum incremental motion in $θ X$	in.	1.5
Minimum incremental motion in $θ Y$	in.	1.5
Minimum incremental motion in $θ Z$	in.	3

Wave Aberration ( $λ$ at 632.8 nm)
$Z_{5}$	$Z_{6}$	$Z_{7}$	$Z_{8}$	$Z_{10}$	$Z_{11}$	RMS
$- 0.0035$	0.0326	$- 0.0104$	$- 0.0222$	0.0030	0.0132	0.0440

	Wave Aberration ( $λ$ at 632.8 nm)
Alignment Number	$Z_{5}$	$Z_{6}$	$Z_{7}$	$Z_{8}$	$Z_{10}$	$Z_{11}$	RMS
Origin	$- 0.2010$	0.0763	$- 0.0085$	$- 0.0114$	0.0056	0.0157	0.0949
1	$- 0.0725$	0.0651	$- 0.0081$	$- 0.0136$	$- 0.0035$	0.0140	0.0552
2	$- 0.0613$	0.0501	$- 0.0133$	$- 0.0318$	$- 0.0172$	0.0137	0.0512
3	$- 0.0386$	0.0458	$- 0.0097$	$- 0.0205$	0.0032	0.0136	0.0457
4	$- 0.0115$	$0.0418$	$- 0.0152$	$- 0.0312$	$- 0.0013$	0.0178	0.0468

Alignment Number	Position Errors
Alignment Number	$d x$ (mm)	$d y$ (mm)	$d z$ (mm)	$t x$ (°)	$t y$ (°)
1	$- 0.0449$	$- 0.0505$	0.0060	0.0077	0.040
2	$- 0.0428$	$- 0.0023$	0.0568	$- 0.0012$	0.0042
3	$- 0.0035$	$- 0.0005$	0.0105	0.0024	$- 0.0018$
4	$- 0.0021$	0.0002	$- 0.0033$	$- 0.0029$	$- 0.0004$

Alignment	Wave Aberration ( $λ$ at 632.8 nm)
Number	$Z_{5}$	$Z_{6}$	$Z_{7}$	$Z_{8}$	$Z_{10}$	$Z_{11}$	RMS
1	$- 0.0256$	0.0456	$- 0.0096$	$- 0.0214$	0.0032	0.0134	0.0442
2	$- 0.0056$	0.0301	$- 0.0102$	$- 0.0275$	0.0018	0.0145	0.0435

Alignment technology based on a central small aperture for the AIMS telescope

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Abstract

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Figures (21)

Tables (11)

Equations (5)

Applied Optics