Research and Design of Variable Curvature Optical Integrator for Solar Simulator

Haowen Peng; Shi Su; Guoyu Zhang; Shi Liu; Gaofei Sun; Jian Zhang; Fanlin Meng; Yongzhu Chen

doi:10.3788/AOS202242.0708001

Acta Optica Sinica, Volume. 42, Issue 7, 0708001(2022)

Research and Design of Variable Curvature Optical Integrator for Solar Simulator

Haowen Peng¹, Shi Su^1,2,3、*, Guoyu Zhang^1,2,3, Shi Liu^1,2,3, Gaofei Sun^1,2,3, Jian Zhang^1,2,3, Fanlin Meng¹, and Yongzhu Chen¹

Author Affiliations

¹College of Optoelectronic Engineering, Changchun University of Science and Technology, Changchun, Jilin 130022, China

²Jilin Province Engineering Research Center of Optical Measurement and Control Instrumentation, Changchun, Jilin 130022, China

³Key Laboratory of Optoelectric Measurement and Optical Information Transmission Technology of Ministry of Education, Changchun, Jilin 130022, China

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Figures & Tables(21)

Fig. 1. Working principle of variable curvature optical integrator

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Fig. 2. Partition curve of irradiation distribution before integration

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Fig. 3. Superposition curve of irradiation distribution after integration

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Fig. 4. Relationship between number of radial channels and energy utilization

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Fig. 5. Relationship between number of radial channels and non-uniformity

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Fig. 6. Diagram of lens array. (a) Schematic of lens array plane; (b) planar coordinate system diagram of lens array

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Fig. 7. Optical path diagram before and after optimization. (a) Before optimization; (b) after optimization

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Fig. 8. Point plot before and after optimization. (a) Before optimization; (b) after optimization

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Fig. 9. Structure diagram of equal curvature optical integrator

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Fig. 10. Structure diagram of variable curvature optical integrator

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Fig. 11. Simulation diagram of solar simulator

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Fig. 12. Irradiation distribution of optical integrator with equal curvature

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Fig. 13. Radiation distribution diagram of variable curvature optical integrator

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Fig. 14. Comparative analysis curves of equal curvature and variable curvature optical integrators

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Table 1. Aperture and number of integrator channels
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Table 1. Aperture and number of integrator channels
Item Lens aperture /mm Number of radial channels Number of channels Irradiated area /mm Minimum value of Fresnel number
Variable curvature optical integrator 7.1 5 25 200 576.3

Table 2. Function of each circle sub-eye lens

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Table 2. Function of each circle sub-eye lens

Sub-eye lens	Function
Central sub-eye lens	R₁(x_a,y_a)=r_3,3+…+r_M_-2,_N_-2
Second sub-eye lens	R₂(x_b,y_b)=r_2,2+r_3,2+r_4,2+…+r_M_-1,_N_-1-R₁(x_a,y_a)
Outermost sub-eye lens	R₃(x_c,y_c)=r_1,1+r_2,1+r_3,1+r_4,1+…+r_M_,_N-R₁(x_a,y_a)-R₂(x_b,y_b)

Table 3. Complex amplitude transmittance function of each circle sub-eye lens

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Table 3. Complex amplitude transmittance function of each circle sub-eye lens

Sub-eye lens	Function
Central sub-eye lens t₁(x,y)	$\begin{array}{l} \overset{M - 2}{\sum_{m}} \overset{N - 2}{\sum_{n}} δ (x_{a} - m D_{0}, y_{a} - n D_{0}) \otimes \\ \{rect (\frac{x_{a}}{D_{0}}) rect (\frac{y_{a}}{D_{0}}) \cdot \exp [- \frac{i k}{2 f} (x_{a}^{2} + y_{a}^{2})]\} \end{array}$
Second sub-eye lens t₂(x,y)	$\begin{array}{l} \overset{M - 2}{\sum_{m}} \overset{N - 2}{\sum_{n}} δ (x_{b} - m D_{0}, y_{b} - n D_{0}) \otimes \\ \{rect (\frac{x_{b}}{D_{0}}) rect (\frac{y_{b}}{D_{0}}) \cdot \exp [- \frac{i k}{2 f} (x_{b}^{2} + y_{b}^{2})]\} \end{array}$
Outermost sub-eye lens t₃(x,y)	$\begin{array}{l} \overset{M - 2}{\sum_{m}} \overset{N - 2}{\sum_{n}} δ (x_{c} - m D_{0}, y_{c} - n D_{0}) \otimes \\ \{rect (\frac{x_{c}}{D_{0}}) rect (\frac{y_{c}}{D_{0}}) \cdot \exp [- \frac{i k}{2 f} (x_{c}^{2} + y_{c}^{2})]\} \end{array}$

Table 4. Focal length of each circlet lens in integratorunit: mm
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Table 4. Focal length of each circlet lens in integratorunit: mm
Sub-eye lens Central sub-eye lens Second sub-eye lens Outermost sub-eye lens
Focal length 26.4 27.4 28.4

Table 5. Structure parameters of central sub-eye lens
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Table 5. Structure parameters of central sub-eye lens
Lens Radius /mm Interval /mm Material Aperture /mm
Before optimization ∞ 5.0 JGS3 7.1
After optimization -12.10 26.4 - 7.1

Table 6. Optimization results of each circlet lens in field lens group
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Table 6. Optimization results of each circlet lens in field lens group
Lens type Number of lenses Aperture /mm Radius /mm Thickness /mm Quadratic conic coefficient
Central sub-eye lens 1 7.1 12.10 5 -2.231
Second sub-eye lens 8 7.1 12.56 4 -2.335
Outermost sub-eye lens 16 7.1 13.02 3 -2.430

Table 7. Comparison of irradiance non-uniformity between equal curvature and variable curvature optical integrators

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Table 7. Comparison of irradiance non-uniformity between equal curvature and variable curvature optical integrators

Diameter /mm	Equal curvature optical integrator			Variable curvature optical integrator			Uniformity improvement rate η /%
Diameter /mm	E_max /(W·m^-2)	E_min /(W·m^-2)	ε₁ /%	E_max /(W·m^-2)	E_min /(W·m^-2)	ε₂ /%	Uniformity improvement rate η /%
Φ50	1469	1452	±0.58	1390	1382	±0.28	51.7
Φ100	1469	1440	±0.99	1390	1377	±0.47	52.5
Φ150	1469	1423	±1.59	1390	1370	±0.72	54.7
Φ200	1469	1404	±2.26	1390	1363	±0.98	56.6

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Haowen Peng, Shi Su, Guoyu Zhang, Shi Liu, Gaofei Sun, Jian Zhang, Fanlin Meng, Yongzhu Chen. Research and Design of Variable Curvature Optical Integrator for Solar Simulator[J]. Acta Optica Sinica, 2022, 42(7): 0708001

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