Improving the measurement accuracy of refractive index of GaAs and Sapphire Crystal by laser feedback interferometry

Chunyu Yuan; Yang Cao; Yong Deng; Shulian Zhang

doi:10.3788/IRLA20210400

Infrared and Laser Engineering, Volume. 51, Issue 3, 20210400(2022)

Improving the measurement accuracy of refractive index of GaAs and Sapphire Crystal by laser feedback interferometry

Chunyu Yuan1... Yang Cao1, Yong Deng1 and Shulian Zhang2,* |Show fewer author(s)

Author Affiliations

¹School of Mechanical Engineering, Nantong University, Nantong 226019, China

²The State Key Lab of Precision Measurement Technology and Instrument, Department of Precision Instruments, Tsinghua University, Beijing 100084, China

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Fig. 1. System for measuring based on laser feedback interferometry. ML: Nd:YVO₄ microchip laser; BS: Beam splitter; PD: Photodetector; AOM₁ and AOM₂: Acousto-optic modulators; L₁ and L₂: Lens; W: Wollaston prism. M_R: Reference mirror; S: Material; M_E: Measurement mirror

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Fig. 2. Schematic diagram of optical path for differential frequency shift of acousto-optic modulators. ①~⑧: Eight output laser beams

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Fig. 3. Schematic diagram of the sample material optical path

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Fig. 4. (a) Theoretical and experimental data of optical path change of two materials with angle of rotation; (b) Difference between theoretical fit data and experimental data

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Table 1. The average optical path difference in Sapphire Crystal with angle
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Table 1. The average optical path difference in Sapphire Crystal with angle
Rotation angle/(°) Optical path change/nm Rotation angle/(°) Optical path change/nm
1 145 11 8924
2 354 12 10693
3 689 13 12594
4 1186 14 14502
5 1827 15 16679
6 2598 16 19042
7 3558 17 21524
8 4674 18 24134
9 6015 19 26870
10 7482 20 30037

Table 2. The average optical path difference in GaAs with angle
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Table 2. The average optical path difference in GaAs with angle
Rotation angle/(°) Optical path change/nm Rotation angle/(°) Optical path change/nm
2 69 18 6550
4 270 20 8047
6 700 22 9811
8 1275 24 11703
10 2036 26 13771
12 2896 28 16006
14 3937 30 18365
16 5158

Table 3. Measurement results
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Table 3. Measurement results
Number Sapphire Crystal GaAs
n d/mm n d/mm
1 1.7553 0.3028 3.4653 0.6862
2 1.7551 0.3026 3.4759 0.6861
3 1.7539 0.3019 3.4739 0.6860
4 1.7554 0.3018 3.4696 0.6859
5 1.7551 0.3017 3.4749 0.6861

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Chunyu Yuan, Yang Cao, Yong Deng, Shulian Zhang. Improving the measurement accuracy of refractive index of GaAs and Sapphire Crystal by laser feedback interferometry[J]. Infrared and Laser Engineering, 2022, 51(3): 20210400

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