A Simple Model for Measuring Refractive Index of a Liquid Based upon Fresnel Equations
ZHANG Zhi-Wei1, WU Zhi-Fang2, WEN Ting-Dun1
1Key Laboratory of Instrument Science and Dynamic Measurement (Ministry of Education), North University of China, Taiyuan 0300512No.33 Research Institute, China Electronic Technology Group Corporation, Taiyuan 030006
A Simple Model for Measuring Refractive Index of a Liquid Based upon Fresnel Equations
ZHANG Zhi-Wei1;WU Zhi-Fang2;WEN Ting-Dun1
1Key Laboratory of Instrument Science and Dynamic Measurement (Ministry of Education), North University of China, Taiyuan 0300512No.33 Research Institute, China Electronic Technology Group Corporation, Taiyuan 030006
摘要Due to many experimental data required and a lot of calculations involved, it is very complex and cumbersome to model prism-based liquid-refractive-index-measuring methods. We develop a new method of mathematical modelling for measuring refractive index of a liquid based upon the Fresnel formula and prism internal reflection at an incident angle less than the critical angle. With this method, only two different concentrations measurements for a kind of solution can lead to the determination of computational model. Measurements are performed to examine the validity of the theoretical model. Experimental results indicate the feasibility of the theoretical model with an error of 1%. The method is also capable of measuring even smaller changes in the optical refractive index of the material on a metal surface by the surface plasma resonance sensing techniques.
Abstract：Due to many experimental data required and a lot of calculations involved, it is very complex and cumbersome to model prism-based liquid-refractive-index-measuring methods. We develop a new method of mathematical modelling for measuring refractive index of a liquid based upon the Fresnel formula and prism internal reflection at an incident angle less than the critical angle. With this method, only two different concentrations measurements for a kind of solution can lead to the determination of computational model. Measurements are performed to examine the validity of the theoretical model. Experimental results indicate the feasibility of the theoretical model with an error of 1%. The method is also capable of measuring even smaller changes in the optical refractive index of the material on a metal surface by the surface plasma resonance sensing techniques.
ZHANG Zhi-Wei;WU Zhi-Fang;WEN Ting-Dun. A Simple Model for Measuring Refractive Index of a Liquid Based upon Fresnel Equations[J]. 中国物理快报, 2007, 24(11): 3133-3136.
ZHANG Zhi-Wei, WU Zhi-Fang, WEN Ting-Dun. A Simple Model for Measuring Refractive Index of a Liquid Based upon Fresnel Equations. Chin. Phys. Lett., 2007, 24(11): 3133-3136.
[1] Valenzuela A G et al 1998 Appl. Opt. 37 456 [2] Villatoro J et al 1998 Appl. Opt. 37 648 [3] Ji H et al 1999 Sensors Actuators B 54 3 [4] Shen S et al 1998 Appl. Opt. 37 1747 [5] Wu C M and Pao M C 2004 Opt. Exp. 12 3509 [6] Ran B and Lipson S G 2006 Opt. Exp. 14 5641 [7] Gu J H et al 1997 Chin. Phys. Lett. 14 849 [8] Yin X B and Hessenlink L 2004 Appl. Phys. Lett. 85372 [9] Li C F and Yang X Y 2004 Chin. Phys. Lett. 21 485 [10] Yang X Y et al 2007 Chin. Phys. Lett. 24 458 [11] Zhao Y et al 2003 Sensors Actuators B 92 331 [12] Zhao Y et al 2002 Sensors Actuators B 86 63 [13] Johnston K S et al 1995 Mater. Chem. Phys. 42 242 [14] Kretschmann E 1971 Z. Phys. 241 313 [15] Chadwick B and Gal M 1993 Jpn. J. Appl. Phys. 32 2716 [16] Cao Z X et al 2006 Chin. Opt. Lett. 4 160 [17] Jiang H et al 2000 Opt. Tech. 26 41 (in Chinese) [18] Zhang D et al 2007 Chin. Phys. Lett. 24 131 [19] Dorney T D et al 2001 J. Opt. Soc. Am. A 8 1562
2007, Vol. 24 
