基于复合带宽积分平均衍射效率的倾斜误差研究 
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Tilt Error Based on Comprehensive Bandwidth Integral Average Diffraction Efficiency
盐城师范学院物理与电子工程学院, 江苏 盐城 224007
图 & 表
图 1. MLDOEs表面入射光的折射
Fig. 1. Refraction of incident rays at surface of MLDOEs
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图 2. MLDOEs的偏心误差
Fig. 2. Decenter error of MLDOEs
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图 3. 正入射时两个波长处的衍射效率与倾斜误差的关系
Fig. 3. Diffraction efficiency versus tilt error at two wavelengths at normal incidence
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图 4. 正入射时BIADE与倾斜误差的关系
Fig. 4. BIADE versus tilt error at normal incidence
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图 5. 斜入射时BIADE与倾斜误差的关系
Fig. 5. BIADE versus tilt error at oblique incidence
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图 7. BIADE与偏心误差的关系
Fig. 7. BIADE versus decenter error
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图 8. 斜入射时的BIADE与倾斜误差和偏心误差的关系(插图为部分放大图)
Fig. 8. BIADE versus tilt error and decenter error at oblique incidence, in which the illustration is an enlarged version
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图 9. 存在偏心误差时的复合BIADE
Fig. 9. Comprehensive BIADE with decenter error
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图 10. 综合考虑其他误差时的复合BIADE(插图为部分放大图)
Fig. 10. Comprehensive BIADE with considering other errors, in which the illustration is an enlarged version
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表 1斜入射时BIADE与倾斜误差α的关系
Table1. Relationship between BIADE and tilt error α at oblique incidence
| Incident angle /(°) | BIADE /% |
|---|
| α=0° | α=2° | α=5° | α=10° |
|---|
| 0 | 99.97 | 99.96 | 99.71 | 95.83 | | 5 | 99.96 | 98.60 | 90.65 | 58.13 | | 10 | 99.80 | 93.44 | 67.35 | 13.47 | | 15 | 98.57 | 80.21 | 31.99 | 1.78 | | 20 | 90.90 | 48.56 | 3.39 | 2.33* | | Note:“*” has no reference significance. As can be seen from figure 5, it is the corresponding value that increases after BIADE decreases. | |
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表 2入射角度θi范围不同时复合BIADE与倾斜误差的关系
Table2. Comprehensive BIADE versus tilt error within different incident angle ranges θi
| Comprehensive BIADE /% | Tilt error /(°) |
|---|
| θi=0° | θi∈(0°,5°] | θi∈(0°,10°] | θi∈(0°,15°] | θi∈(0°,20°] |
|---|
| 98 | 8.29 | 3.84 | 1.99 | 1.01 | 0.25 | | 95 | 10.48 | 5.67 | 3.24 | 1.90 | 0.92 | | 90 | 12.53 | 7.50 | 4.61 | 2.91 | 1.69 |
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表 3综合考虑其他误差时的复合BIADE与倾斜误差关系
Table3. Relationship of tilt errors based on comprehensive BIADE with considering other errors
| Comprehensive BIADE /% | Tilt error /(°) |
|---|
| ε=0% | ε=+2% | ε=-2% | ε=+5% | ε=-5% | ε=+10% | ε=-10% |
|---|
| 98 | 0.77--3.75 | 1.67--3.86 | 3.54 | — | 3.08 | — | 1.97 | | 95 | 5.17 | 5.41 | 4.89 | 0.97--5.70 | 4.40 | 2.87--5.97 | 3.36 | | 90 | 6.55 | 6.80 | 6.28 | 7.14 | 5.81 | 0.93--7.57 | 4.87 |
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杨亮亮, 刘成林, 陆法林, 童巧英, 赵勇兵, 郭仁甲. 基于复合带宽积分平均衍射效率的倾斜误差研究[J]. 光学学报, 2020, 40(8): 0805001. Liangliang Yang, Chenglin Liu, Falin Lu, Qiaoying Tong, Yongbing Zhao, Renjia Guo. Tilt Error Based on Comprehensive Bandwidth Integral Average Diffraction Efficiency[J]. Acta Optica Sinica, 2020, 40(8): 0805001.
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