• Acta Optica Sinica
  • Vol. 41, Issue 12, 1205001 (2021)
Guanghua Yang1、2, Yu Wang1、2, Jing Li1、2、*, Yuejing Qi1、2, and Minxia Ding1
Author Affiliations
  • 1Institute of Microelectronics of the Chinese Academy of Sciences, Beijing 100029, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.3788/AOS202141.1205001 Cite this Article Set citation alerts
    Guanghua Yang, Yu Wang, Jing Li, Yuejing Qi, Minxia Ding. Diffraction Efficiency of Enhanced Phase Grating[J]. Acta Optica Sinica, 2021, 41(12): 1205001 Copy Citation Text show less
    Structures of phase grating. (a) Structure of standard phase grating; (b) structure of segmented phase grating
    Fig. 1. Structures of phase grating. (a) Structure of standard phase grating; (b) structure of segmented phase grating
    Diffraction efficiency of 0th-9th order signals as a function of groove depth. (a) Zero order; (b) odd diffraction orders; (c) even diffraction orders
    Fig. 2. Diffraction efficiency of 0th-9th order signals as a function of groove depth. (a) Zero order; (b) odd diffraction orders; (c) even diffraction orders
    Diffraction efficiency of zero order as a function of duty ratio
    Fig. 3. Diffraction efficiency of zero order as a function of duty ratio
    Diffraction efficiency of 1st-9th order signals as a function of f2. (a) Odd diffraction orders; (b) even diffraction orders
    Fig. 4. Diffraction efficiency of 1st-9th order signals as a function of f2. (a) Odd diffraction orders; (b) even diffraction orders
    Diffraction efficiency of 0th-9th order signals as a function of position of grating ridge. (a) Odd diffraction orders; (b) even diffraction orders
    Fig. 5. Diffraction efficiency of 0th-9th order signals as a function of position of grating ridge. (a) Odd diffraction orders; (b) even diffraction orders
    Diffraction efficiency of 0th order signal as a function of groove depth and duty ratio
    Fig. 6. Diffraction efficiency of 0th order signal as a function of groove depth and duty ratio
    Phase grating structure without even diffraction orders and its characteristic. (a) Phase grating structure without even diffraction orders; (b) first half-period structure and second half-period structure are complementary
    Fig. 7. Phase grating structure without even diffraction orders and its characteristic. (a) Phase grating structure without even diffraction orders; (b) first half-period structure and second half-period structure are complementary
    Enhanced phase grating structure with 180° rotational symmetry and without zero and even diffraction orders
    Fig. 8. Enhanced phase grating structure with 180° rotational symmetry and without zero and even diffraction orders
    Grating structure with zero and even order diffraction missing when N=3
    Fig. 9. Grating structure with zero and even order diffraction missing when N=3
    Ehanced grating structure without zero and even diffraction orders when N=5
    Fig. 10. Ehanced grating structure without zero and even diffraction orders when N=5
    Diffraction efficiency of odd diffraction orders as a function of f1
    Fig. 11. Diffraction efficiency of odd diffraction orders as a function of f1
    Optimized grating structure when number of ridges N=3. (a) Evaluation function W as a function of f1; (b) structure of IME3
    Fig. 12. Optimized grating structure when number of ridges N=3. (a) Evaluation function W as a function of f1; (b) structure of IME3
    Diffraction efficiency of odd diffraction order signals as a function of f1 and f2. (a) 1st diffraction order; (b) 3rd diffraction order; (c) 5th diffraction order; (d) 7th diffraction order; (e) 9th diffraction order
    Fig. 13. Diffraction efficiency of odd diffraction order signals as a function of f1 and f2. (a) 1st diffraction order; (b) 3rd diffraction order; (c) 5th diffraction order; (d) 7th diffraction order; (e) 9th diffraction order
    Optimized grating structure when number of ridges N=5. (a) Evaluation function as a function of f1 and f2; (b) structure of IME5
    Fig. 14. Optimized grating structure when number of ridges N=5. (a) Evaluation function as a function of f1 and f2; (b) structure of IME5
    Structures of phase grating in a period. (a) AH11; (b) AH53
    Fig. 15. Structures of phase grating in a period. (a) AH11; (b) AH53
    Diffraction results of each structure obtained by rigorous coupled-wave analysis method for TM polarization illumination. (a) AH11; (b) AH53; (c) IME3; (d) IME5
    Fig. 16. Diffraction results of each structure obtained by rigorous coupled-wave analysis method for TM polarization illumination. (a) AH11; (b) AH53; (c) IME3; (d) IME5
    ParameterRidge widthRidge positionGroove depth /λ
    Value2/14, 1/14, 1/14, 2/14, 1/14-10/28, -3/28, 1/28, 8/28, 13/280.25
    Table 1. Structural parameters of phase grating without zero and even order diffraction
    Order0123456789
    Diffraction efficiency /%01.59010.89017.0907.4405.28
    Table 2. Diffraction efficiency of phase grating without zero and even order diffraction
    ParameterRidgewidthRidgepositionGroovedepth /λ
    IME30.066, 0.368,0.0660.283, 0,0.2830.250
    Table 3. Structural parameters of IME3
    ParameterRidge widthRidge positionGroove depth/λ
    IME50.065, 0.154, 0.062, 0.154, 0.0650.4365, 0.3270, 0, 0.3270, 0.43650.25
    Table 4. Structural parameters of IME5
    OrderAH11AH53IME3IME5
    TMTEScalardiffractiontheoryTMTEScalardiffractiontheoryTMTEScalardiffractiontheoryTMTEScalardiffractiontheory
    00004.965.535.570.020.1200.040.320
    114.1214.1214.123.803.693.539.739.739.850.900.870.90
    20000.490.480.470.010.080.000.010.030
    31.571.571.570.410.400.390.200.210.175.305.385.31
    40.000.000.002.142.082.090.000.010.0000.010
    50.560.560.565.034.925.082.162.212.063.243.273.26
    60000.870.860.930000.010.050
    70.290.290.290.060.060.072.462.532.462.112.152.13
    80000.020.020.030.000.01000.020
    90.170.170.170.020.020.041.201.251.293.433.563.49
    Table 5. Comparison of diffraction efficiency of each structure calculated by using RCWA and scalar diffraction theory%
    Guanghua Yang, Yu Wang, Jing Li, Yuejing Qi, Minxia Ding. Diffraction Efficiency of Enhanced Phase Grating[J]. Acta Optica Sinica, 2021, 41(12): 1205001
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