Optimizing structural parameters of electrowetting triple-liquid lens based on joint simulation technology
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摘要:
电润湿三液体透镜具有优秀的变焦性能，但其结构复杂度和设计难度较大，因此，本文提出了一种基于联合仿真的电润湿三液体透镜结构参数优选方法。在设计某三液体透镜时，利用Comsol和Zemax软件建立了不同结构参数下的三液体透镜仿真模型，得到了其在不同电压下的焦距，分析了高度和锥度对变焦范围和初始焦距的影响，确定了变焦范围最大且初始焦距最长的一组结构参数。为了验证该方法的可靠性，制备了不同高度和锥度的三液体透镜模型，并进行变焦实验。仿真与实验结果表明：三液体透镜的初始焦距与高度和锥度正相关；变焦范围与锥度正相关，但高度为主要影响因素；当高度为12 mm，锥度为20°时，透镜变焦范围最大，初始焦距最长。当锥度小于15°时，仿真与实验结果的吻合度较高。
Abstract:The electrowetting triple-liquid lens has excellent zoom performance, but its structural complexity and design difficulty are relatively high. Therefore, we propose a method for optimizing the structural parameters of the electrowetting triple-liquid lens based on joint simulation. To design a triple-liquid lens, Comsol and Zemax software are used to establish triple-liquid lens simulation models under different structural parameters, and its focal lengths under different voltages are obtained. The effects of height and taper on zoom range and initial focal length are analyzed, and a set of structural parameters with the maximum zoom range and the longest initial focal length is determined. To verify the methods reliability, we prepare the triple-liquid lens models with different heights and tapers, and conduct zoom experiments. The simulation and experimental results show that the initial focal length of the triple-liquid lens correlates positively with height and taper; the zoom range correlates positively with taper, but height is the main influencing factor. When the height is 12 mm and the taper is 20°, the lens has the most extensive zoom range and the longest initial focal length. When the taper is less than 15°, the simulation and experimental results are highly consistent.
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图 6 仿真初始焦距随高度和锥度的变化关系图
Figure 6. Diagrams of simulated initial focal length as a function of height and taper
图 7 仿真变焦范围随高度和锥度的变化关系图
Figure 7. Diagrams of simulated zoom range as a function of height and taper
图 11 初始焦距随高度和锥度的变化关系图
Figure 11. Diagrams of initial focal length as a function of height and taper
图 12 变焦范围随高度和锥度的变化关系图
Figure 12. Diagrams of zoom range as a function of height and taper
表 1 参数设置
Table 1. Parameter settings
Parameter Value Remark $ {\gamma }_{1} $/N·m−1 0.05 Surface tension1
([EMIm][NTf2]＆C12H25Br)$ {\gamma }_{2} $/N·m−1 0.069 Surface tension2
(C12H25Br＆1%SDS)$ \varepsilon $ 3.15 Relative dielectric constant $ {\theta }_{0} $/° 80 Zero voltage contact angle
([EMIm][NTf2]＆C12H25Br)$ {\theta }_{1} $/° 65 Zero voltage contact angle
(C12H25Br＆1%SDS)$ d $/μm 8 Dielectric thickness 
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表 2 液体参数设置
Table 2. Liquid parameter settings
Liquid Density/kg·m−3 Refractive index Viscosity/10−3Pa·s [EMIm][NTf2] 1380 1.4227 32.00 C12H25Br 1039 1.458 3.60 1%SDS 1000 1.335 2.70
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表 3 偶次非球面系数
Table 3. Even aspherical coefficients
Even asphere b c d e Lower interface
Upper interface0.099
0.1060.001
0.0020
00
0
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表 4 系统的结构参数
Table 4. Structural parameters of proposed system
Surface Type Radius Thickness Glass Semi-
diameterOBJ Standard Infinity Infinity 0 STO Standard Infinity 0.5 K9 2 2 Standard Infinity 2.3 Conductive liquid1 2 3 Even asphere Infinity 2.4 Insulating liquid 2 4 Even asphere Infinity 3.3 Conductive liquid2 2 5 Standard Infinity 0.5 K9 2 6 Standard Infinity 20 K9 2 IMA Standard Infinity － 4
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表 5 三液体透镜零件参数值
Table 5. Parameter values of the triple-liquid lens component
Height/mm Taper/° Label 8 10 L1 15 L2 20 L3 10 10 L4 15 L5 20 L6 12 10 L7 15 L8 20 L9
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表 6 实验数据表
Table 6. Experimental data
Number Initial focal length
/mmDrive voltage
/VThreshold voltage
/VL1 −36.2 60 120 L2 −36.9 60 120 L3 −45.5 60 120 L4 −38.5 60 120 L5 −49.5 60 120 L6 −51.3 80 140 L7 −40.7 80 140 L8 −47.2 80 140 L9 −57.1 80 140
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