Author Affiliations
Key Laboratory of Light-Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Photonics Technology for Information, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an 710129, Shaanxi, Chinashow less
Fig. 1. Principle of mechanical zoom optical system
Fig. 2. Two-dimensional diagrams of optical system under different focal lengths. (a) f '=40 mm; (b) f '=70 mm; (c) f '=100 mm
Fig. 3. MTF of optical system under different focal lengths. (a) f '=40 mm; (b) f '=70 mm; (c) f '=100 mm
Fig. 4. Seidel diagrams of optical system under different focal lengths. (a) f '=40 mm; (b) f '=70 mm; (c) f '=100 mm
Fig. 5. Two-dimensional diagrams of ultraviolet optical system under different focal lengths. (a) f '=40 mm; (b) f '=70 mm; (c) f '=100 mm
Fig. 6. Cross section curves of even aspherical surface and standard surface
Fig. 7. Diffraction efficiency and phase distribution of designed diffractive optical element. (a) Diffraction efficiency; (b) phase
Fig. 8. Diagrams of Qcon aspherical and standard surfaces. (a) Two-dimensional diagram; (b) three-dimensional Qcon aspherical surface
Fig. 9. MTF of ultraviolet optical system under different focal lengths. (a) f '=40 mm; (b) f '=70 mm; (c) f '=100 mm
Fig. 10. Field curvature and distortion of ultraviolet optical system under different focal lengths. (a) (d) f '=40 mm; (b) (e) f '=70 mm; (c) (f) f '=100 mm
Fig. 11. Cam curves of the zoom lens
Fig. 12. Image simulation results of ultraviolet optical system under different focal lengths. (a) Fingerprint image; (b) f '=40 mm; (c) f '=70 mm; (d) f '=100 mm
Parameter | Value |
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Working waveband /μm | 2.4-2.7 | Field of view /(°) | 3.8-9.4 | Effective focal length(EFL)/mm | 40-100 | F-number | 4 | MTF@11 lp/mm | >0.7 | Distortion /% | <0.1 |
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Table 1. Design index of ultraviolet optical system
No. | Item | Surface type | Radius /mm | Thickness /mm | Material |
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0 | Object | Standard | Infinity | Infinity | - | 1 | Aper | Standard | 51.487 | 2.000 | F_SILICA | 2 | Aper | Standard | 64.952 | 46.919 | - | 3 | Aper | Standard | -335.201 | 1.498 | CAF2 | 4 | Aper | Standard | 66.237 | 1.157 | - | 5 | Aper | Standard | 73.289 | 1.473 | F_SILICA | 6 | Aper | Even asphere | 86.075 | 0.998 | - | 7 | Aper | Even asphere | 23.528 | 7.024 | CAF2 | 8 | Aper | Standard | -100.994 | 66.985 | - | 9 | Stop | Standard | Infinity | 1.005 | F_SILICA | 10 | Aper | Qcon asphere | 77.086 | 2.258 | - | 11 | Aper | Binary2 | Infinity | 58.684 | - | 12 | Image | Standard | | | - |
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Table 2. Structure parameters of optical system
Surface No. | Conic | 2nd orderterm | 4th orderterm | 6th orderterm | 8th orderterm |
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6 | -1.707 | 0.012 | 1.894×10-5 | 1.097×10-7 | -9.658×10-10 | 7 | -1.047 | -2.627×10-3 | 1.757×10-5 | 1.082×10-7 | 1.035×10-9 |
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Table 3. Parameters of aspherical surface
Surface No. | Diffraction order | Norm radius | Coefficient on p2 | Coefficient on p4 |
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11 | 1 | 100 | -3.318×10-5 | 5.510×10-5 |
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Table 4. Parameters of diffractive surface
Surface | ccon | a0 | a1 | a2 | a3 |
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10 | -0.748 | -7.942×10-7 | 3.449×10-9 | -1.044×10-11 | 1.750×10-14 |
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Table 5. Parameters of Qcon asphere
Tolerance type | Value |
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Refractive index | 0.0008 | Surface irregularity /fringes | 0.25 | Thickness /mm | ±0.025 | Abbe number /% | 0.08 | Element decenter /mm | ±0.01 | Element tilt /(°) | 0.02 | Test wavelength /nm | 255 |
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Table 6. Tolerance data of system
Yield rate /% | MTF of short focal length | MTF of middle focal length | MTF of long focal length |
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98 | 0.761 | 0.775 | 0.774 | 90 | 0.805 | 0.817 | 0.812 | 80 | 0.830 | 0.835 | 0.835 | 50 | 0.870 | 0.868 | 0.873 | 20 | 0.893 | 0.895 | 0.897 | 10 | 0.902 | 0.903 | 0.905 | 2 | 0.912 | 0.913 | 0.914 |
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Table 7. Tolerance analysis results