Precision test technology of liquid refractive index using the method of minimum deviation angle
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摘要: 本文提出了一种自研盛装器皿以提高液体折射率的测试精度。该器皿由金属框架与等厚玻璃窗口组成,其制造工艺相对简单,减少了透射反射面面型精度及窗口等光程因素带来的系统误差,提高了测试精度。本文采用的测试方法为最小偏向角法。最小偏向角法主要用于固体折射率的测试,较少应用于液体折射率的测试。主要因为需要制作特殊的盛装器皿,制造工艺难度大,难以控制面型精度及透射窗口的等光程,对测试结果造成较大影响。经过理论分析可知,采用本文设计的盛装器皿可以满足10-6数量级的液体折射率测试需求。采用0.2″高精度转台进行实验,耦合器皿带来的系统误差和测试系统的理论测量精度达10-6数量级。对某离子液在546.08 nm特征谱线下实际测量的标准差为1.42×10-6。自研器皿满足液体折射率的精密测试需求。Abstract: A self-developed container made up of a metal frame and a glass window of equal thickness is proposed to improve the test accuracy of liquid refractive index. It improves test accuracy as the manufacturing process is relatively simple, which reduces the systematic error that arises due to the transflective surface and the equal optical path of the glass window. The test method in this paper uses the minimum deviation angle method, which is mainly used for testing solid refractive index but is less frequently applied to test liquid refractive index. Because a special container is needed, the manufacturing process is more complex, and the equal optical path length of transmission glass windows are difficult to control, which will greatly affect the test results. Using the container designed in this paper, theoretical test accuracy of liquid refractive index can reach the order of magnitudes 10-6. In the experimental case of 0.2″ high-precision turntable, the systematic error brought by the coupled container and the theoretical measurement accuracy of the test system can satisfy the demands in the order of magnitudes 10-6. The standard deviation of the actual measurement of an ionic liquid under the characteristic spectral line of 546.08 nm is 1.42×10-6. The self-developing container meets the precise testing needs of the liquid refractive index.
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表 1 几种特定温度下空气折射率
Table 1. Air refractive indexes at several specific temperatures
T 15 ℃ 18 ℃ 20 ℃ 22 ℃ 25 ℃ nr 1.000 277 1 1.000 274 3 1.000 272 4 1.000 271 5 1.000 267 8 表 2 顶角A测试值
Table 2. Test value of head angle A
测试次数 1 2 3 4 5 标准差 顶角 60.007 20° 60.007 17° 60.007 21° 60.007 20° 60.007 20° 1.37e-5 表 3 某离子液在Hg光谱灯546.08 nm特征谱线下的测试数据
Table 3. Test data of ionic liquid under the characteristic line of 546.08 nm of Hg spectrum lamp
测试次数 1 2 3 4 5 标准差 折射率值 1.366 802 2 1.366 799 1 1.366 801 5 1.366 801 5 1.366 798 7 1.42e-6 -
[1] 辛督强, 朱民, 解延雷, 等.测量液体折射率的几种方法[J].大学物理, 2007, 26(1):34-37. doi: 10.3969/j.issn.1000-0712.2007.01.010XIN D Q, ZHU M, XIE Y L, et al.. Several measuring methods of the refractive index of liquid[J]. College Physics, 2007, 26(1):34-37.(in Chinese) doi: 10.3969/j.issn.1000-0712.2007.01.010 [2] 周凯宁, 肖宁, 陈棋, 等.3种测量三棱镜折射率方法的对比[J].实验室研究与探索, 2011, 30(4):22-25, 90. doi: 10.3969/j.issn.1006-7167.2011.04.008ZHOU K N, XIAO N, CHEN Q, et al.. Comparing of three prism refractive index measuring methods[J]. Research and Exploration in Laboratory, 2011, 30(4):22-25, 90.(in Chinese) doi: 10.3969/j.issn.1006-7167.2011.04.008 [3] 张凤云, 曹文, 张利巍.测量液体折射率的几种光学方法的实验研究[J].大学物理实验, 2013, 26(4):33-34, 43. doi: 10.3969/j.issn.1007-2934.2013.04.011ZHANG F Y, CAO W, ZHANG L W. Experimental study on measuring liquid refractive index by optics methods[J]. Physical Experiment of College, 2013, 26(4):33-34, 43.(in Chinese) doi: 10.3969/j.issn.1007-2934.2013.04.011 [4] 王文生, 徐斌, 张军.最小偏向角法V棱镜法测量折射率的原理公式误差[J].长春光学精密机械学院学报, 1995, 18(1):5-10. http://www.cnki.com.cn/Article/CJFDTOTAL-CGJM199501001.htmWANG W SH, XU B, ZHANG J. The principle formula error of measuring the refractive index by the method of minimum deviation angle and the method of V-prism[J]. Journal of Changchun Institute of Optics and Fine Mechanics, 1995, 18(1):5-10.(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-CGJM199501001.htm [5] 陈余行, 马振斌.最小偏向角法测量NaCl溶液浓度与折射率[J].实验科学与技术, 2010, 8(6):16-17, 112. doi: 10.3969/j.issn.1672-4550.2010.06.007CHEN Y X, MA ZH B. Research on the refractive index of NaCl solution by minimum angle of deviation[J]. Experiment Science and Technology, 2010, 8(6):16-17, 112.(in Chinese) doi: 10.3969/j.issn.1672-4550.2010.06.007 [6] 戴一帆, 张志伟, 张文静, 等.光纤传感测量液体折射率的方法研究[J].光学仪器, 2016, 38(6):476-480. http://d.old.wanfangdata.com.cn/Periodical/gxyq201606002DAI Y F, ZHANG ZH W, ZHANG W J, et al.. Method for measuring the refractive index of liquid by optical fiber sensing[J]. Optical Instruments, 2016, 38(6):476-480.(in Chinese) http://d.old.wanfangdata.com.cn/Periodical/gxyq201606002 [7] 汪晓春, 杨博文, 何冬慧.一种基于迈克尔逊干涉仪测量透明液体折射率的方法[J].光学仪器, 2012, 34(5):1-4. doi: 10.3969/j.issn.1005-5630.2012.05.001WANG X CH, YANG B W, HE D H. A method to measure refractive index of transparent liquid based on michelson interferometer[J]. Optical Instruments, 2012, 34(5):1-4.(in Chinese) doi: 10.3969/j.issn.1005-5630.2012.05.001 [8] 杨春章, 薄晓红.最小偏向角法测量光学玻璃的折射率[J].计量技术, 1991(2):12-13, 45. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK000001703611YANG CH ZH, BO X H. Measuring the refractive index of optical glass by the method of minimum deviation angle[J]. Measurement Technique, 1991(2):12-13, 45.(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK000001703611 [9] ZAWISZA R, EFTIMOV T, MIKULIC P, et al.. Dual-resonance long-period grating in fiber loop mirror structure for liquid refractive index measurement[J]. Opto-Electronics Review, 2018, 26(1):24-28. doi: 10.1016/j.opelre.2017.11.002 [10] NASIBOV H, KHOLMATOV A, MEHMETBEYLI I. A method for a precise and instantaneous measurement of a refractive index[J]. IEEE/ASME Transactions on Mechatronics, 2018, 23(4):1886-1896. doi: 10.1109/TMECH.2018.2840426 [11] 杨志文, 牟达, 刘智颖, 等.光学测量[M].北京:兵器工业出版社, 2011.YANG ZH W, MU D, LIU ZH Y, et al.. Optical Measurement[M]. Beijing:Weapon Industry Publishing House, 2011.(in Chinese) [12] 吴炳阳, 于晋龙, 王菊, 等.小型化空气折射率测量装置的精度修正[J].激光与光电子学进展, 2018, 55(4):040102. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jgygdzxjz201804003WU B Y, YU J L, WANG J, et al.. Accuracy correction of miniaturization device for air refractive index measurement[J]. Laser & Optoelectronics Progress, 2018, 55(4):040102.(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jgygdzxjz201804003 [13] 李明溪.用最小偏向角法测量液体折射率[J].华南师范大学学报(自然科学版), 2000(2):117-121. doi: 10.3969/j.issn.1000-5463.2000.02.025LI M X. Measurement of refraction rate of liquids by using the least deflection angle[J]. Journal of South China Normal University(Natural Science Edition), 2000(2):117-121.(in Chinese) doi: 10.3969/j.issn.1000-5463.2000.02.025 [14] 温建平, 唐运爱, 钟远军, 等.最小偏向角法测液体折射率实验的研究[J].实验室科学, 2014, 17(2):20-23. doi: 10.3969/j.issn.1672-4305.2014.02.006WEN J P, TANG Y A, ZHONG Y J, et al.. Measurement of refraction rate of liquids by using the least deflection angle[J]. Laboratory Science, 2014, 17(2):20-23.(in Chinese) doi: 10.3969/j.issn.1672-4305.2014.02.006 [15] 费业泰.误差理论与数据处理[M]. 7版.北京:机械工业出版社, 2017.FEI Y T. Error Theory and Data Processing[M]. 7th ed. Beijing:China Machine Press, 2017.(in Chinese) [16] 中华人民共和国国家质量监督检验检疫总局, 中国国家标准化管理委员会.GB/T 7962.11-2010色光学玻璃测试方法第11部分: 可见折射率精密测试[S].北京: 中国标准出版社, 2011.General Administration of Quality Supervision, Inspection and Quarantine of the People's Republic of China, Standardization Administration of the People's Republic of China. GB/T 7962.11-2010 Test method for colourless optical glass-Part 11: Precise test method for refractive index in the visible wave band[S]. Beijing: China Standards Publishing House, 2011.(in Chinese) [17] 金群锋.大气折射率影响因素的研究[D].杭州: 浙江大学, 2006.JIN Q F. Study on factors affecting atmospheric refractive index[D]. Hangzhou: Zhejiang University, 2006.(in Chinese)