Author Affiliations
1 Shaanxi Key Laboratory of Optical Information Technology, School of Natural and Applied Sciences, Northwestern Polytechnical University, Xi'an, Shannxi 710072, China2 Key Laboratory of Material Physics and Chemistry under Extraordinary Conditions, Ministry of Education, School of Natural and Applied Sciences, Northwestern Polytechnical University, Xi'an, Shannxi 710072, Chinashow less
Fig. 1. Typical separate double-layer diffractive optical elements. (a) Optical microstructure; (b) light transmission path
Fig. 2. MLDOEs with antireflection films. (a) Physical structure of antireflection films; (b) optical microstructure
Fig. 3. Calculated diffraction efficiency of MLDOEs with traditional method. (a) Theoretical diffraction efficiency; (b) actual diffraction efficiency
Fig. 4. Relationship between incident angle and calculated PIDE of MLDOEs by traditional method
Fig. 5. Calculated diffraction efficiency of MLDOEs with antireflection coatings with traditional method
Fig. 6. Calculated diffraction efficiency of MLDOEs with optimal method. (a) Effect of incident wavelength on diffraction efficiency at continuous incident angles; (b) effect of incident wavelength on diffraction efficiency at two incident angles
Substrate material | Film material | Thickness /nm |
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PMMA (substrate 1) | SiO2 | 91.77 | ZrO2 | 10.00 | SiO2 | 48.75 | ZrO2 | 44.78 | SiO2 | 10.00 | ZrO2 | 67.63 | SiO2 | 86.98 | Polycarb (PC)(substrate 2) | SiO2 | 22.46 | Ta2O5 | 18.61 | SiO2 | 30.09 | Ta2O5 | 57.94 | SiO2 | 10.00 | Ta2O5 | 41.02 | SiO2 | 88.96 |
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Table 1. Film system parameters of antireflection films for MLDOEs
Microstructure height /μm | Traditional method | Optimal method |
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PMMA | Polycarb | PMMA | Polycarb |
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H1 | 16.462 | | 16.091 | | H2 | | -12.815 | | -12.661 |
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Table 2. Calculated heights of surface microstructure of MLDOEs
Wavelength /μm | Diffraction efficiency /% |
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Theoretical values | Actual values |
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Incident angle of 0° | Incident angle of 10° | | Incident angle of 0° | Incident angle of 10° | 0.400 | 94.845 | 98.350 | 96.508 | 92.935 | 0.435 | 99.996 | 99.094 | 86.146 | 79.045 | 0.450 | 99.770 | 98.001 | 83.604 | 76.291 | 0.550 | 99.578 | 97.918 | 87.123 | 81.425 | 0.598 | 100 | 99.456 | 92.459 | 88.135 | 0.650 | 99.301 | 99.977 | 96.032 | 94.274 | 0.700 | 97.277 | 99.969 | 99.473 | 98.140 |
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Table 3. Calculated diffraction efficiency of MLDOEs with traditional method
Wavelength /μm | Diffraction efficiency /% |
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Incident angle of 0° | Incident angle of 10° |
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0.400 | 94.855 | 98.076 | 0.435 | 100 | 99.280 | 0.450 | 99.775 | 98.276 | 0.550 | 99.588 | 98.147 | 0.598 | 100 | 99.560 | 0.650 | 99.296 | 99.950 | 0.700 | 97.273 | 98.845 |
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Table 4. Calculated diffraction efficiency of MLDOEs at some specific wavelengths with optimal method
Incident angle /(°) | PIDE /% |
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Traditional method | Optimal method |
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Theoretical value | Actual value | 0 | 99.252 | 89.893 | 99.257 | 5 | 99.213 | 88.741 | 99.220 | 10 | 98.597 | 84.806 | 98.730 |
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Table 5. PIDE of MLDOEs for two design methods