• Acta Optica Sinica
  • Vol. 39, Issue 3, 0305001 (2019)
Shan Mao1、2 and Jianlin Zhao1、2、*
Author Affiliations
  • 1 Shaanxi Key Laboratory of Optical Information Technology, School of Natural and Applied Sciences, Northwestern Polytechnical University, Xi'an, Shannxi 710072, China
  • 2 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, China
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    DOI: 10.3788/AOS201939.0305001 Cite this Article Set citation alerts
    Shan Mao, Jianlin Zhao. Optimal Design for Multi-Layer Diffractive Optical Elements with Antireflection Films[J]. Acta Optica Sinica, 2019, 39(3): 0305001 Copy Citation Text show less
    Typical separate double-layer diffractive optical elements. (a) Optical microstructure; (b) light transmission path
    Fig. 1. Typical separate double-layer diffractive optical elements. (a) Optical microstructure; (b) light transmission path
    MLDOEs with antireflection films. (a) Physical structure of antireflection films; (b) optical microstructure
    Fig. 2. MLDOEs with antireflection films. (a) Physical structure of antireflection films; (b) optical microstructure
    Calculated diffraction efficiency of MLDOEs with traditional method. (a) Theoretical diffraction efficiency; (b) actual diffraction efficiency
    Fig. 3. Calculated diffraction efficiency of MLDOEs with traditional method. (a) Theoretical diffraction efficiency; (b) actual diffraction efficiency
    Relationship between incident angle and calculated PIDE of MLDOEs by traditional method
    Fig. 4. Relationship between incident angle and calculated PIDE of MLDOEs by traditional method
    Calculated diffraction efficiency of MLDOEs with antireflection coatings with traditional method
    Fig. 5. Calculated diffraction efficiency of MLDOEs with antireflection coatings with traditional method
    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
    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 materialFilm materialThickness /nm
    PMMA (substrate 1)SiO291.77
    ZrO210.00
    SiO248.75
    ZrO244.78
    SiO210.00
    ZrO267.63
    SiO286.98
    Polycarb (PC)(substrate 2)SiO222.46
    Ta2O518.61
    SiO230.09
    Ta2O557.94
    SiO210.00
    Ta2O541.02
    SiO288.96
    Table 1. Film system parameters of antireflection films for MLDOEs
    Microstructure height /μmTraditional methodOptimal method
    PMMAPolycarbPMMAPolycarb
    H116.46216.091
    H2-12.815-12.661
    Table 2. Calculated heights of surface microstructure of MLDOEs
    Wavelength /μmDiffraction efficiency /%
    Theoretical valuesActual values
    Incident angle of 0°Incident angle of 10°Incident angle of 0°Incident angle of 10°
    0.40094.84598.35096.50892.935
    0.43599.99699.09486.14679.045
    0.45099.77098.00183.60476.291
    0.55099.57897.91887.12381.425
    0.59810099.45692.45988.135
    0.65099.30199.97796.03294.274
    0.70097.27799.96999.47398.140
    Table 3. Calculated diffraction efficiency of MLDOEs with traditional method
    Wavelength /μmDiffraction efficiency /%
    Incident angle of 0°Incident angle of 10°
    0.40094.85598.076
    0.43510099.280
    0.45099.77598.276
    0.55099.58898.147
    0.59810099.560
    0.65099.29699.950
    0.70097.27398.845
    Table 4. Calculated diffraction efficiency of MLDOEs at some specific wavelengths with optimal method
    Incident angle /(°)PIDE /%
    Traditional methodOptimal method
    Theoretical valueActual value
    099.25289.89399.257
    599.21388.74199.220
    1098.59784.80698.730
    Table 5. PIDE of MLDOEs for two design methods
    Shan Mao, Jianlin Zhao. Optimal Design for Multi-Layer Diffractive Optical Elements with Antireflection Films[J]. Acta Optica Sinica, 2019, 39(3): 0305001
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