Tilt Error Based on Comprehensive Bandwidth Integral Average Diffraction Efficiency

Liangliang Yang; Chenglin Liu; Falin Lu; Qiaoying Tong; Yongbing Zhao; Renjia Guo

doi:10.3788/AOS202040.0805001

Acta Optica Sinica, Volume. 40, Issue 8, 0805001(2020)

Tilt Error Based on Comprehensive Bandwidth Integral Average Diffraction Efficiency

Liangliang Yang^*, Chenglin Liu, Falin Lu, Qiaoying Tong, Yongbing Zhao, and Renjia Guo

Author Affiliations

School of Physics and Electronics Engineering, Yancheng Teachers University, Yancheng, Jiangsu 224007, China

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Abstract Get PDF(in Chinese)

Figures & Tables(12)

$Refraction of incident rays at surface of MLDOEs$

Fig. 1. Refraction of incident rays at surface of MLDOEs

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Fig. 2. Decenter error of MLDOEs

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$Diffraction efficiency versus tilt error at two wavelengths at normal incidence$

Fig. 3. Diffraction efficiency versus tilt error at two wavelengths at normal incidence

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Fig. 4. BIADE versus tilt error at normal incidence

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Fig. 5. BIADE versus tilt error at oblique incidence

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Fig. 7. BIADE versus decenter error

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Fig. 8. BIADE versus tilt error and decenter error at oblique incidence, in which the illustration is an enlarged version

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Fig. 9. Comprehensive BIADE with decenter error

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Fig. 10. Comprehensive BIADE with considering other errors, in which the illustration is an enlarged version

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Table 1. Relationship between BIADE and tilt error α at oblique incidence

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Table 1. Relationship between BIADE and tilt error α at oblique incidence

Incident angle /(°)	BIADE /%
Incident angle /(°)	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.

Table 2. Comprehensive BIADE versus tilt error within different incident angle ranges θ_i
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Table 2. Comprehensive BIADE versus tilt error within different incident angle ranges θ_i
Comprehensive BIADE /% Tilt error /(°)
θ_i=0° θ_i∈(0°,5°] θ_i∈(0°,10°] θ_i∈(0°,15°] θ_i∈(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

Table 3. Relationship of tilt errors based on comprehensive BIADE with considering other errors
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Table 3. 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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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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Paper Information

Category: Diffraction and Gratings

Received: Dec. 6, 2019

Accepted: Jan. 6, 2020

Published Online: Apr. 13, 2020

The Author Email: Yang Liangliang (yang_liangliang@163.com)

DOI:10.3788/AOS202040.0805001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Relationship between BIADE and tilt error α at oblique incidence

Table 1. Relationship between BIADE and tilt error α at oblique incidence

Table 2. Comprehensive BIADE versus tilt error within different incident angle ranges θi

Table 2. Comprehensive BIADE versus tilt error within different incident angle ranges θi

Table 3. Relationship of tilt errors based on comprehensive BIADE with considering other errors

Table 3. Relationship of tilt errors based on comprehensive BIADE with considering other errors

Table 2. Comprehensive BIADE versus tilt error within different incident angle ranges θ_i

Table 2. Comprehensive BIADE versus tilt error within different incident angle ranges θ_i