电润湿透镜重复变焦精度指标及其优化方法 -

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电润湿透镜重复变焦精度指标及其优化方法

doi:10.37188/CO.2022-0209

桂林理工大学机械与控制工程学院, 广西桂林 541004

基金项目:国家自然科学基金项目（No. 72001054）；广西科技计划项目（No. AB22035041）

详细信息

作者简介:
黄　鹏（1981—），男，湖南衡阳人，博士，副教授，2016年于浙江大学获得博士学位，主要从事机器视觉及新型光学器件方面的研究。E-mail：hp1981hp@sina.com.cn
杨晓营（1998—），男，广西南宁人，硕士研究生，2020年于桂林理工大学获得学士学位，主要从事新型光学器件方面的研究。E-mail：2225886523@qq.com
陈　彬（1997—），男，广西博白人，硕士研究生，2021年于桂林理工大学获得学士学位，主要从事新型光学器件方面的研究。E-mail：2085406797@qq.com
宋　跃（1999—），男，安徽马鞍山人，硕士研究生，2022年于淮阴工学院获得学士学位，现就读于桂林理工大学，主要从事新型光学器件、机器视觉方面的研究。E-mail：1028296135@qq.com

中图分类号:TP394.1;TH691.9
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出版历程
- 收稿日期:2022-10-10
- 修回日期:2022-11-11
- 网络出版日期:2023-02-08

Repeated zoom accuracy index of an electrowetting lens and its optimization method

College of Mechanical and Control Engineering, Guilin University of Technology, Guilin 541004, China

Funds:Supported by National Natural Science Foundation of China (No. 72001054); Guangxi Science and Technology Program (No. AB22035041)

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Corresponding author:hp1981hp@sina.com.cn

摘要

摘要:
借鉴玻璃透镜的研究方法，提出了一种基于统计数据的液体透镜重复变焦精度指标，用于描述其变焦稳定性，并给出了液体透镜设计参数优化及材料优选的实验方法。首先，通过初步实验研究与分析，得到影响液体透镜重复变焦精度的主要影响因素——极性溶液体积、锥度、非极性溶液粘度；其次，以重复变焦精度和变焦范围作为评价指标，发现重复变焦精度与电压的关系不具有单调性，存在先升后降的现象。在此基础上，运用极差分析与综合平衡法，得到各因素的不同影响程度及最优参数组合，采用正交实验法优化设计参数。最后，实验验证了该方法的有效性。实验结果表明，优化后的液体透镜，在150 V电压处，重复变焦精度为0.2 m⁻¹；在0~230 V电压范围内，变焦范围为−15.2~5.85 m⁻¹。结果表明本文所提出的方法基本满足液体透镜变焦稳定可靠、精度高、变焦范围大等要求。
- 介电润湿/
- 液体透镜/
- 连续变焦/
- 重复精度/
- 正交实验/
- 参数优化
Abstract:
Tacking the research of glass lenses as reference, a statistical data-based index of liquid lens zoom stability and liquid lens repeated zoom accuracy is proposed. An experimental method is presented to optimize the structural parameters and materials of the liquid lens. Firstly, the main factors affecting the accuracy of a liquid lens’ repeat zoom accuracy were obtained through preliminary experimental research, including the polar solution volume, taper and non-polar solution viscosity. Secondly, taking the accuracy of the liquid lens’s repeat zoom accuracy and zoom range as evaluation indicators, it was found that the relationship between the accuracy of the liquid lens’s repeat zoom and the voltage is not monotonic, and that it rises first and then falls. On this basis, through the range analysis and comprehensive balance method, the primary and secondary factors and the optimal combination of parameters is obtained. After that, orthogonal experiments were used to optimize the design parameters. Finally, the effectiveness of this method was verified by experiments. The experimental results show that the repeat zoom accuracy of the optimized liquid lens is 0.2 m⁻¹, and the zoom range is −15.2−5.85 m⁻¹over the voltage range of 0 to 230 V. It basically meets the requirements of stable and reliable, high precision, and large zoom range for liquid lens zoom.
- dielectric wetting/
- liquid lens/
- continuous zooming/
- repeated accuracy/
- orthogonal experiment/
- parameter optimization

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图 1介质上电润湿示意图

Figure 1.Schematic diagram of electrowetting on the medium

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图 2介电润湿双液体变焦透镜截面图

Figure 2.Cross section of a dielectric wetting double liquid zoom lens

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图 3从主液滴产生的卫星液滴

Figure 3.Satellite droplets generated from the primary droplet

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图 4双液体透镜的变焦迟滞曲线

Figure 4.Zoom hysteresis curve of a double liquid lens

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图 5双液体变焦实验装置

Figure 5.Double liquid zoom experimental setup

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图 6焦度随电压的变化关系图

Figure 6.Diagram of focal power as a function of voltage

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图 7正交实验组重复变焦精度曲线

Figure 7.Repeated zoom accuracy curves of orthogonal experiment

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图 8重复变焦精度随电压变化曲线

Figure 8.Repeated zoom accuracy curves as a function of voltage

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表 1透镜零件尺寸表

Table 1.Part size of the lens

底径 a(mm)	顶径 b(mm)	高度 H(mm)	锥度 α(°)
4	6	4	14.04
	8		26.57
	10		36.87
4	6	6	9.46
6	8
8	10
4	6.14	4	15.00
	7.22	6
	8.29	8

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表 2三因素三水平取值表

Table 2.Table of three factors and three levels

水平	因素
水平	A(ul)	B(°)	C(mPa.s)
1	40	14.04	100
2	50	26.57	350
3	60	37.87	500

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表 3正交实验结果

Table 3.Orthogonal experiment results

序号	实验因素			实验结果
序号	A(ul)	B(°)	C(mPa·s)	X(m⁻¹)	Y(m⁻¹)
1	40	14.04	100	15.675	1.0960
2	40	26.57	350	15.720	1.0188
3	40	37.87	500	16.405	0.1252
4	50	14.04	350	20.940	0.4160
5	50	26.57	500	12.990	0.9975
6	50	37.87	100	15.235	0.6485
7	60	14.04	500	21.040	0.2000
8	60	26.57	100	12.220	1.2202
9	60	37.87	350	11.250	0.1814

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表 4变焦精度极差分析结果

Table 4.Range analysis results of zoom accuracy

水平	因素
水平	A	B	C
k₁	0.747	0.571	0.988
k₂	0.687	1.079	0.539
k₃	0.534	0.318	0.441
R	0.213	0.760	0.547

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表 5变焦范围极差分析表

Table 5.Range analysis for zoom accuracy

水平	因素
水平	A	B	C
k₁	15.933	19.218	14.377
k₂	16.388	13.643	15.970
k₃	14.837	14.297	16.812
R	1.552	5.575	2.435

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