Fig. 1. Structures of phase grating. (a) Structure of standard phase grating; (b) structure of segmented phase grating
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
Fig. 3. Diffraction efficiency of zero order as a function of duty ratio
Fig. 4. Diffraction efficiency of 1st-9th order signals as a function of f2. (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
Fig. 6. Diffraction efficiency of 0th order signal as a function of groove depth and duty ratio
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
Fig. 8. Enhanced phase grating structure with 180° rotational symmetry and without zero and even diffraction orders
Fig. 9. Grating structure with zero and even order diffraction missing when N=3
Fig. 10. Ehanced grating structure without zero and even diffraction orders when N=5
Fig. 11. Diffraction efficiency of odd diffraction orders as a function of f1
Fig. 12. Optimized grating structure when number of ridges N=3. (a) Evaluation function W as a function of f1; (b) structure of IME3
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
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
Fig. 15. Structures of phase grating in a period. (a) AH11; (b) AH53
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
Parameter | Ridge width | Ridge position | Groove depth /λ |
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Value | 2/14, 1/14, 1/14, 2/14, 1/14 | -10/28, -3/28, 1/28, 8/28, 13/28 | 0.25 |
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Table 1. Structural parameters of phase grating without zero and even order diffraction
Order | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
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Diffraction efficiency /% | 0 | 1.59 | 0 | 10.89 | 0 | 17.09 | 0 | 7.44 | 0 | 5.28 |
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Table 2. Diffraction efficiency of phase grating without zero and even order diffraction
Parameter | Ridgewidth | Ridgeposition | Groovedepth /λ |
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IME3 | 0.066, 0.368,0.066 | 0.283, 0,0.283 | 0.250 |
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Table 3. Structural parameters of IME3
Parameter | Ridge width | Ridge position | Groove depth/λ |
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IME5 | 0.065, 0.154, 0.062, 0.154, 0.065 | 0.4365, 0.3270, 0, 0.3270, 0.4365 | 0.25 |
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Table 4. Structural parameters of IME5
Order | AH11 | AH53 | IME3 | IME5 |
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TM | TE | Scalardiffractiontheory | TM | TE | Scalardiffractiontheory | TM | TE | Scalardiffractiontheory | TM | TE | Scalardiffractiontheory |
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0 | 0 | 0 | 0 | 4.96 | 5.53 | 5.57 | 0.02 | 0.12 | 0 | 0.04 | 0.32 | 0 | 1 | 14.12 | 14.12 | 14.12 | 3.80 | 3.69 | 3.53 | 9.73 | 9.73 | 9.85 | 0.90 | 0.87 | 0.90 | 2 | 0 | 0 | 0 | 0.49 | 0.48 | 0.47 | 0.01 | 0.08 | 0.00 | 0.01 | 0.03 | 0 | 3 | 1.57 | 1.57 | 1.57 | 0.41 | 0.40 | 0.39 | 0.20 | 0.21 | 0.17 | 5.30 | 5.38 | 5.31 | 4 | 0.00 | 0.00 | 0.00 | 2.14 | 2.08 | 2.09 | 0.00 | 0.01 | 0.00 | 0 | 0.01 | 0 | 5 | 0.56 | 0.56 | 0.56 | 5.03 | 4.92 | 5.08 | 2.16 | 2.21 | 2.06 | 3.24 | 3.27 | 3.26 | 6 | 0 | 0 | 0 | 0.87 | 0.86 | 0.93 | 0 | 0 | 0 | 0.01 | 0.05 | 0 | 7 | 0.29 | 0.29 | 0.29 | 0.06 | 0.06 | 0.07 | 2.46 | 2.53 | 2.46 | 2.11 | 2.15 | 2.13 | 8 | 0 | 0 | 0 | 0.02 | 0.02 | 0.03 | 0.00 | 0.01 | 0 | 0 | 0.02 | 0 | 9 | 0.17 | 0.17 | 0.17 | 0.02 | 0.02 | 0.04 | 1.20 | 1.25 | 1.29 | 3.43 | 3.56 | 3.49 |
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Table 5. Comparison of diffraction efficiency of each structure calculated by using RCWA and scalar diffraction theory%