• Acta Optica Sinica
  • Vol. 43, Issue 9, 0916003 (2023)
Zheng Cheng1, Min Zhu1, Yunan Liu1, Zeya Huang1,*..., Wei Wang2 and Zhiqiang Shao2|Show fewer author(s)
Author Affiliations
  • 1College of Materials Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangsu , China
  • 2The 49th Research Institute of China Electronics Technology Group Corporation, Harbin 150000, Heilongjiang , China
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    DOI: 10.3788/AOS221911 Cite this Article Set citation alerts
    Zheng Cheng, Min Zhu, Yunan Liu, Zeya Huang, Wei Wang, Zhiqiang Shao. Determination of High-Temperature Refractive Index of Sapphire by Laser Displacement Measurement and Theoretical Research[J]. Acta Optica Sinica, 2023, 43(9): 0916003 Copy Citation Text show less
    Parallel plate imaging principle
    Fig. 1. Parallel plate imaging principle
    Schematic diagram of optical path
    Fig. 2. Schematic diagram of optical path
    Test principle of laser displacement method. (a) Path of laser displacement; (b) position relation among laser spot, sapphire and CMOS camera
    Fig. 3. Test principle of laser displacement method. (a) Path of laser displacement; (b) position relation among laser spot, sapphire and CMOS camera
    Lattice parameters and model. (a) Schematic diagram of cell parameters of α-Al2O3 varying with temperature; (b) schematic diagram of crystal model of α-Al2O3 for theoretical calculation
    Fig. 4. Lattice parameters and model. (a) Schematic diagram of cell parameters of α-Al2O3 varying with temperature; (b) schematic diagram of crystal model of α-Al2O3 for theoretical calculation
    ΔS varying with temperature
    Fig. 5. ΔS varying with temperature
    Relationship between measured refractive index and temperature. (a) Relationship between measured no of sapphire and temperature; (b) relationship between measured ne of sapphire and temperature
    Fig. 6. Relationship between measured refractive index and temperature. (a) Relationship between measured no of sapphire and temperature; (b) relationship between measured ne of sapphire and temperature
    Complex refractive index of α-Al2O3 varying with temperature. (a) [100] crystal orientation; (b) [001] crystal orientation
    Fig. 7. Complex refractive index of α-Al2O3 varying with temperature. (a) [100] crystal orientation; (b) [001] crystal orientation
    Relationship between simulated refractive index of sapphire and temperature
    Fig. 8. Relationship between simulated refractive index of sapphire and temperature
    Point K path graph in Brillouin zone
    Fig. 9. Point K path graph in Brillouin zone
    Simulation results of band structure of α-Al2O3. (a) Band structure of α-Al2O3 crystal; (b) relationship between band gap and temperature
    Fig. 10. Simulation results of band structure of α-Al2O3. (a) Band structure of α-Al2O3 crystal; (b) relationship between band gap and temperature
    ParameterSize /(mm×mm×mm)Crystal orientationRoughness /(10-10m)Smoothness /μm
    Value10×10×20[100],[001]≤5≤5
    Table 1. Parameters of sapphire experimental sample
    Temperature /℃2720040060080010001200
    no-ne0.00800.00850.00910.00970.01030.01090.0115
    Table 2. Birefringence of α-Al2O3 at wavelength of 445 nm under different temperatures
    Temperature /℃2740080010001200
    ε1 at[100]crystal orientation /keV3.1933.2063.2223.2293.237
    ε1 at[001]crystal orientation /keV3.1483.1623.1783.1863.195
    Table 3. Real part of dielectric function of α-Al2O3 at wavelength of 445 nm under different temperatures
    Zheng Cheng, Min Zhu, Yunan Liu, Zeya Huang, Wei Wang, Zhiqiang Shao. Determination of High-Temperature Refractive Index of Sapphire by Laser Displacement Measurement and Theoretical Research[J]. Acta Optica Sinica, 2023, 43(9): 0916003
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