Wavefront Reconstruction Error Analysis Method for Diffraction Optical System

Kai Qiao; Xiyang Zhi; Dong Yang; Di Yu; Dawei Wang

doi:10.3788/AOS201939.1105002

Journals >Acta Optica Sinica >Volume 39 >Issue 11 >Page 1105002 > Article

Acta Optica Sinica
Vol. 39, Issue 11, 1105002 (2019)

Wavefront Reconstruction Error Analysis Method for Diffraction Optical System

Kai Qiao¹, Xiyang Zhi^2、*, Dong Yang³, Di Yu², and Dawei Wang²

Author Affiliations

¹Beijing Institute of Tracking and Telecommunications Technology, Beijing 100094, China

²Research Center for Space Optical Engineering, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China

³Beijing Institute of Spacecraft System Engineering, Beijing 100094, China

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DOI: 10.3788/AOS201939.1105002 Cite this Article Set citation alerts

Kai Qiao, Xiyang Zhi, Dong Yang, Di Yu, Dawei Wang. Wavefront Reconstruction Error Analysis Method for Diffraction Optical System[J]. Acta Optica Sinica, 2019, 39(11): 1105002 Copy Citation Text

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Fig. 1. Flow chart of phase diversity wavefront reconstruction

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Fig. 2. Classification of influencing factors of phase diversity wavefront reconstruction error

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Fig. 3. Diagram of focal plane position error

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Fig. 4. Analysis model of influence of focal plane position error on wavefront reconstruction error

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Fig. 5. Diagram of defocus distance error

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Fig. 6. Analysis model of influence of defocus distance error on wavefront reconstruction error

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$Analysis model of influence of diffraction efficiency error on wavefront reconstruction error$

Fig. 7. Analysis model of influence of diffraction efficiency error on wavefront reconstruction error

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Fig. 8. Experimental verification scheme

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$Analysis result of single error factor. (a) Focal plane position error; (b) defocus distance error; (c) diffraction efficiency error$

Fig. 9. Analysis result of single error factor. (a) Focal plane position error; (b) defocus distance error; (c) diffraction efficiency error

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Optical system parameter	Value
Focus length f /mm	10
F_#	5
Wavelength λ /nm	500
Diffraction efficiency η	0.60
CCD pixel size /μm	3
Field of view /(°)	0.10
Gaussian noise	0.002
Aberration	0.3017λ

Table 1. Design parameters of diffractive optical system

Error type	Error value	Corresponding wavefront RMSE
Focus plane position error	0.5λ	0.0511λ
Defocus distance error	0.5λ	0.0887λ
Diffraction efficiency error	10%	0.0972λ

Table 2. Values of error factors and wavefront RMSE

Focus plane position error /nm	Defocus distance error /nm	Diffraction efficiency error /%	Model analysis results /λ	Actual wavefront reconstruction error /λ	Relative deviation /%
-300	-300	5	0.1778	0.1540	15.4
-300	-300	10	0.1989	0.2468	19.4
-300	-150	5	0.0796	0.0714	11.5
-300	-150	10	0.1196	0.1036	15.5
-300	100	5	0.0598	0.0542	10.2
-300	100	10	0.1075	0.1253	14.2
-300	200	5	0.0859	0.0761	12.8
-300	200	10	0.1239	0.1489	16.8
-200	-300	5	0.1765	0.1545	14.2
-200	-300	10	0.1978	0.1673	18.2
-200	-150	5	0.0766	0.0854	10.3
-200	-150	10	0.1177	0.1030	14.3
-200	100	5	0.0558	0.0614	9.0
-200	100	10	0.1054	0.0932	13.0
-200	200	5	0.0832	0.0745	11.6
-200	200	10	0.1221	0.1446	15.6
100	-300	5	0.1763	0.2026	13.0
100	-300	10	0.1976	0.1689	17.0
100	-150	5	0.0762	0.0698	9.1
100	-150	10	0.1174	0.1351	13.1
100	100	5	0.0552	0.0512	7.8
100	100	10	0.1050	0.1191	11.8
100	200	5	0.0827	0.0749	10.4
100	200	10	0.1218	0.1422	14.4
200	-300	5	0.1793	0.1570	14.2
200	-300	10	0.2003	0.2449	18.2
200	-150	5	0.0830	0.0925	10.3
200	-150	10	0.1220	0.1067	14.3
200	100	5	0.0643	0.0590	9.0
200	100	10	0.1101	0.1265	13.0
200	200	5	0.0891	0.1008	11.6
200	200	10	0.1262	0.1495	15.6

Table 3. Simulation and synthesis results under various error combination conditions

Kai Qiao, Xiyang Zhi, Dong Yang, Di Yu, Dawei Wang. Wavefront Reconstruction Error Analysis Method for Diffraction Optical System[J]. Acta Optica Sinica, 2019, 39(11): 1105002

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