Aspheric Test Combining Front and Back Null Compensation for Infinite Optical Path

Xin Wang; Qiang Liu; Hao Zhou; Jianjun Jia; Rong Shu

doi:10.3788/AOS202040.1722003

Journals >Acta Optica Sinica >Volume 40 >Issue 17 >Page 1722003 > Article

Acta Optica Sinica
Vol. 40, Issue 17, 1722003 (2020)

Aspheric Test Combining Front and Back Null Compensation for Infinite Optical Path

Xin Wang^*, Qiang Liu, Hao Zhou, Jianjun Jia, and Rong Shu

Author Affiliations

Key Laboratory of Space Active Opto-Electronics Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China

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DOI: 10.3788/AOS202040.1722003 Cite this Article Set citation alerts

Xin Wang, Qiang Liu, Hao Zhou, Jianjun Jia, Rong Shu. Aspheric Test Combining Front and Back Null Compensation for Infinite Optical Path[J]. Acta Optica Sinica, 2020, 40(17): 1722003 Copy Citation Text

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Fig. 1. Optical layout of aspheric test combining front and back null compensation for infinite optical path

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Relationship between β2 and Q1 of back null compensation lens

Fig. 2. Relationship between β₂ and Q₁ of back null compensation lens

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Fig. 3. Relationship between β₂ and Q₂ of front null compensation lens

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Fig. 4. Maximum aperture of aspheric mirror to be tested

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Fig. 5. Maximum relative aperture of aspheric mirror to be tested

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Fig. 6. Optical layout designed by using front and back null compensation when R=9 m

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Fig. 7. Surface wavefront error designed by using front and back null compensation when R=9 m

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Fig. 8. Spherical aberration designed by using front and back null compensation when R=9 m

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Fig. 9. Optical layout of principle experiment designed by using front and back null compensation for infinite optical path

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Fig. 10. Surface wavefront error in principle experiment designed by using front and back null compensation for infinite optical path

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Fig. 11. Optical layout designed by using back null compensation for infinite optical path

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Fig. 12. Surface wavefront error designed by using back null compensation for infinite optical path

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Fig. 13. Experiment prototype

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Fig. 14. Test result of wavefront error

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Lens	Optical parameter	β₂=1.10	β₂=1.35	β₂=1.60	β₂=1.70
	r₁ /mm	0.34776	0.09976	0.03195	0.03412
Back null compensation lens	r₂ /mm	-0.05455	-0.06242	0.27777	-0.34637
	Thickness /mm	0.01	0.01	0.01	0.01
	r₃ /mm	0.13997	-0.24919	-2.49594	-0.10603
Front null compensation lens	r₄ /mm	0.21677	-0.09689	-0.09925	-0.04629
	Thickness /mm	0.01	0.01	0.01	0.01
Distance between two lens /mm		0.173	0.138	0.120	0.104
Distance between front compensationlens and aspheric mirror /mm		0.905	0.904	0.904	0.904

Table 1. Optical parameters calculated for different β₂

Optical element	Surface shape	Radius ofcurvature /mm	Asphericcoefficient	Diameter	Material
Aspheric mirror	Conic	9000	e²=1	3.7 m	Metal or glass
Back null compensation lens	Spherical	1098.5 and 575.6	0	370 mm	K9
Front null compensation lens	Spherical	707.1 and 504.1	0	370 mm	K9

Table 2. Optical parameters of concave aspheric mirror with R= 9 m designed by using front and back null compensation

Tolerance parameter	Back null compensation lens	Front null compensation lens
Refractive index	0.0005	0.0005
Decentering distance /mm	0.004	0.004
Tilt angle /(°)	0.0008	0.0008
Thickness /mm	0.02	0.02
Radius of curvature /mm	0.1	0.1
RMS of surface wavefront error	λ/40	λ/40

Table 3. Tolerance parameters

Type	Radius /mm	Thickness /mm	Glass	Diameter /mm	e²
Standard	Infinity	100	Air	50	0
Standard	128.93	15	K9	50	0
Standard	-74.01	146.26	Air	50	0
Standard	-87.34	10	K9	50	0
Standard	-61.36	917.25	Air	50	0
Standard	-1000	-917.25	Reflector	500	1.000
Standard	-61.36	-10.00	K9	50	0
Standard	-87.34	-146.26	Air	50	0
Standard	-74.01	-15	K9	50	0
Standard	128.93	-100	Air	50	0

Table 4. Optical parameters of principle experiment designed by using front and back null compensation for infinite optical path

Type	Radius /mm	Thickness /mm	Glass	Diameter /mm	e²
Standard	Infinity	100	Air	43	0
Standard	32.25	10	K9	43	0
Standard	39.90	91.17	Air	43	0
Standard	204.62	5	K9	15	0
Standard	-71.76	1052.28	Air	15	0
Standard	-1000	-1052.28	Reflector	430	1.000
Standard	-71.76	-5	K9	15	0
Standard	204.62	-91.17	Air	15	0
Standard	39.90	-10	K9	43	0
Standard	32.25	-100	Air	43	0

Table 5. Optical parameters designed by using back null compensation for infinite optical path

Optical system	Alignment error	Change of RMS of surfacewavefront error /λ
Test system by usingfront null compensation andback null compensation for infinite optical path	Decenter distance is 0.002 mm forback null compensation lens	0.0072
	Tilt angle is 0.0008° for back nullcompensation lens	0.0032
	Decenter distance is 0.002 mm forfront null compensation lens	0.0043
	Tilt angle is 0.0008° for front nullcompensation lens	0.00098
	Estimated RMS of surface wavefront errorafter 300 Monte Carlo analyses	0.0083
OFFNER system byusing back null compensationfor infinite optical path	Decenter distance is 0.002 mmfor back null compensation lens	0.0101
	Tilt angle is 0.0008° forback null compensation lens	0.0023
	Decenter distance is 0.002 mm forfront null compensation lens	0.0071
	Tilt angle is 0.0008° for front nullcompensation lens	0.00023
	Estimated RMS of surface wavefronterror after 300 Monte Carlo analyses	0.0110

Table 6. Tolerance comparison of two test configurations

Xin Wang, Qiang Liu, Hao Zhou, Jianjun Jia, Rong Shu. Aspheric Test Combining Front and Back Null Compensation for Infinite Optical Path[J]. Acta Optica Sinica, 2020, 40(17): 1722003

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