Author Affiliations
1 Laboratory of Information Optics and Opto-Electronic Technology, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China2 University of Chinese Academy of Sciences, Beijing 100049, Chinashow less
Fig. 1. Approximate polar decomposition of Jones matrix[12]
Fig. 2. Pupil maps of OZP[13]
Fig. 3. Schematic of Jones pupil measurement device
Fig. 4. Original Jones pupil. (a) Diattenuation; (b) retardation
Fig. 5. OZP coefficients of original Jones pupil. (a) Diattenuation; (b) retardation
Fig. 6. Measured Jones pupil by proposed method. (a) Diattenuation; (b) retardation
Fig. 7. Measured diattenuation of the proposed and the conventional method under different error settings. (a) Conventional method, without errors; (b) conventional method, with errors; (c) proposed method, without errors; (d) proposed method, with errors
Fig. 8. Amplitude errors of measured Jones pupil by proposed method. (a) Diattenuation; (b) retardation
Fig. 9. OZP coefficient errors of measured Jones pupil by proposed method. (a) Diattenuation; (b) retardation
Error type | Error source | Value |
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Random | Noise of image sensor | σ(ΔI)=0.003 | (Normal distribution) | Orientation angle errors | σ(Δθ)=0.1° | Systematic | Diattenuation errors | η=0.01 | | Retardation errors | δ=0.001π |
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Table 1. Error sources in Jones pupil measurement device
Configuration | P1 angle θ1 /(°) | Q1 angle ϕ1 /(°) | Q2 angle ϕ2 /(°) | P2 angle θ2 /(°) |
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1×144×1 | 0° | 0°, 1.25°, 2.5°, …, 178.75° | 6×ϕ1 | 0° | 4×4×9×1 | 0°, 45°, 90°, 135° | 0°, 45°, 90°, 135° | 0°, 12°, 24°, …, 180° | 0° | 4×4×4×4 | 0°, 45°, 90°, 135° | 0°, 45°, 90°, 135° | 0°, 45°, 90°, 135° | 0°, 45°, 90°, 135° |
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Table 2. Three typical angle configurations
Configuration | Method | ERMS-D /10-3 | ERMS-R /(10-3 rad) | ERSS-OZP-D /10-3 | ERSS-OZP-R /10-3 |
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1×144×1 | Conventional method | 9.77 | 10.80 | 7.27 | 8.70 | | Proposed method | 2.31 | 2.98 | 2.01 | 5.13 | 4×4×9×1 | Conventional method | 7.66 | 8.09 | 5.42 | 5.79 | | Proposed method | 1.54 | 1.65 | 1.40 | 2.60 | | Conventional method | 3.15 | 3.42 | 1.91 | 1.49 | 4×4×4×4 | Proposed method | 0.84 | 0.70 | 0.73 | 0.79 | | Raw Jones pupil | 50.0 | 155.1 | 50.0 | 154.6 |
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Table 3. Measurement errors comparison between the proposed and the conventional method under different angle configurations of polarization elements