Error Analysis and Improvement of Liquid Refractive Index Measurement Using Laser Speckle Interferometry

Jinming Luo; Jiawei Gu; Junhao Li; Rouyan Zhou; Dingnan Deng

doi:10.3788/LOP202259.0512001

Laser & Optoelectronics Progress, Volume. 59, Issue 5, 0512001(2022)

Error Analysis and Improvement of Liquid Refractive Index Measurement Using Laser Speckle Interferometry

Jinming Luo^*, Jiawei Gu, Junhao Li, Rouyan Zhou, and Dingnan Deng^**

Author Affiliations

College of Physics and Electronic Engineering, Jiaying University, Meizhou , Guangdong 514015, China

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Figures & Tables(9)

$Optical refraction characteristic of transparent medium$

Fig. 1. Optical refraction characteristic of transparent medium

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Fig. 2. Analysis of measurement error using internal standard method

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Fig. 3. Vertical views of double-grooves structure with the left measured liquid. (a) In parallel; (b) tilt small angle placement

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$Schematic of the improved liquid refractive index measurement system$

Fig. 4. Schematic of the improved liquid refractive index measurement system

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$Digital speckle correlation results of water refractive index using internal standard method. (a) Air; (b) ethanol$

Fig. 5. Digital speckle correlation results of water refractive index using internal standard method. (a) Air; (b) ethanol

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$Digital speckle correlation results of water refractive index using improved method under different groove widths. (a) 5 mm; (b) 10 mm; (c) 20 mm$

Fig. 6. Digital speckle correlation results of water refractive index using improved method under different groove widths. (a) 5 mm; (b) 10 mm; (c) 20 mm

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Table 1. Data of water refractive index using internal standard method

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Table 1. Data of water refractive index using internal standard method

Internal standard	θ /rad	D /mm	d /μm	n	Relative error /%	z /μm
Air	0.092	5	204.6	1.7926	34.5	1250.7
		10	391.6	1.7327	30.0	2501.4
		20	822.8	1.8004	35.1	5002.8
Alcohol	0.092	5	15.4	1.3073	1.9	93.2
		10	35.2	1.2992	2.5	186.3
		20	107.8	1.2658	5.0	327.6

Table 2. Measurement data of water refractive index
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Table 2. Measurement data of water refractive index
D /mm θ /rad d /μm n Relative error /% z /μm
5 0.092 114.4 1.3291 0.29 2.9
0.123 151.8 1.3269 0.46 5.1
10 0.092 231.0 1.3333 0.02 4.5
0.123 305.8 1.3301 0.22 8.0
20 0.092 459.8 1.3312 0.14 7.8
0.123 618.2 1.3349 0.14 13.9

Table 3. Measurement data of ethanol refractive index
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Table 3. Measurement data of ethanol refractive index
D /mm θ /rad d /μm n Relative error /% z /μm
5 0.092 123.2 1.3637 0.24 2.7
0.123 167.2 1.3727 0.42 4.8
10 0.092 246.4 1.3637 0.24 4.2
0.123 330.0 1.3660 0.07 7.5
20 0.092 492.8 1.3637 0.24 7.2
0.123 657.8 1.3643 0.20 12.9

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Jinming Luo, Jiawei Gu, Junhao Li, Rouyan Zhou, Dingnan Deng. Error Analysis and Improvement of Liquid Refractive Index Measurement Using Laser Speckle Interferometry[J]. Laser & Optoelectronics Progress, 2022, 59(5): 0512001

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