Accuracy analysis of the infrared materials refractive index measurements by the minimum deviation method
https://doi.org/10.32446/0368-1025it.2026-2-46-57
Abstract
The problems of metrological assurance for measuring the refractive index of solid optical materials (silicon, germanium, etc.) used in the infrared range of the spectrum (infrared materials) are considered. The refractive index of optical materials in the infrared wavelength range must be known with high accuracy when developing optics for thermal imagers, night vision devices, etc. Currently, the tasks of developing domestic instruments for measuring the refractive index in the infrared region of the spectrum and analyzing measurement errors are relevant. The scheme of the developed infrared refractometer based on a goniometer is presented. Using this refractometer, the method of the minimum deviation for refractive index of infrared materials measurements in automatic mode is implemented. The error of measuring the refractive index of infrared materials by the method of minimum deviation using a developed infrared refractometer based on a goniometer is analyzed, considering the infl uence of measurement errors of the prism angle, beam deviation angle, radiation wavelength and temperature. The infl uence of diffraction on the measurement error of the deviation angles of infrared radiation is considered. The total error of refractive index measurements in the ranges 3–5 and 8–12 microns for germanium and silicon was estimated, which was 4.1·10–5 and 2.5·10–5, respectively. The results obtained are important for developing requirements for the components of the State Primary Standard of the Refractive Index Unit GET 138-2021 when improving it in order to expand the wavelength range to the middle and far infrared ranges.
Keywords
About the Authors
G. N. VishnyakovRussian Federation
Gennady N. Vishnyakov, D. Sc. (Engineering), Head of the Laboratory for Measurements of Optical Constants
Author ID: 7003644474
119361, Moscow, Ozernaya st., 46
A. I. Yurin
Russian Federation
Alexander I. Yurin, Cand. Sc. (Engineering), Associate Professor, HSE University
Author ID: 15756657400
101000, Moscow, Myasnitskaya st., 20
V. L. Minaev
Russian Federation
Vladimir L. Minaev, D. Sc. (Engineering), Head of the Department of Holography, Optical Tomography, Nanotechnology and Nanomaterials
Author ID: 7007026957
119361, Moscow, Ozernaya st., 46
E. V. Shumskyi
Russian Federation
Evgeniy V. Shumskiy, Lead Engineer
119361, Moscow, Ozernaya st., 46
References
1. Bakhshieva G. F., Levin B. M. IF-24 instrument for measuring refractive indices and dispersion of optical materials. Optical and Mechanical Industry, 2, 28–30 (1971). (In Russ.)
2. Zabudskiy I. P., Molochnikov B. I., Bakhshieva G. F., Mironova L. N., Olkhovskiy M. V. The GSI Infrared goniometric refractometer. Soviet Journal Of Optical Technology, 45, 635 (1978).
3. Burnett J. H., Benck E. C., Kaplan S. G., Stover E., Phenis A. Index of refraction of germanium. Applied Optics, 59(13), 3985–3991 (2020). https://doi.org/10.1364/AO.382408 ; https://www.elibrary.ru/gtynwg
4. Leviton D. B., Frey B. J., Kvamme T. High accuracy, absolute, cryogenic refractive index measurements of infrared lens materials for JWST NIRCam using CHARMS. Proc. SPIE. Cryogenic Optical Systems and Instruments XI, 5904, 59040O (2008). https://doi.org/10.1117/12.619306
5. Edwin R. A recording refractometer for the measurement of refractive indices of solids in the wavelength range 8–14 μm. Journal of Physics E: Scientifi c Instruments, 6(10), 1035 (1973). https://doi.org/10.1088/0022-3735/6/10/025
6. Edwin R. P., Dudermel M. T., Lamare M. Refractive index measurements of ten germanium samples. Applied Optics, 21(5), 878–881 (1982). https://doi.org/10.1364/AO.21.000878
7. Meyzonnette J.-L., Mangin J., Cathelinaud M. Refractive Index of Optical Materials. In Springer Handbook of Glass, Springer Handbooks (SHB). Springer, Cham., рр. 997–1045 (2019). https://doi.org/10.1007/978-3-319-93728-1_29 ; https://www.elibrary.ru/udcizk
8. Icenogle H. W., Platt B. C., Wolfe W. L. Refractive indexes and temperature coeffi cients of germanium and silicon. Applied Optics, 15(10), 2348–2351 (1976). https://doi.org/10.1364/AO.15.002348
9. Nunley T. N., Fernando N. S., Samarasingha N., Moya J. M., Nelson C. M., Medina A. A., Zollner S. Optical constants of germanium and thermally grown germanium dioxide from 0.5 to 6.6 eV via a multi-sample ellipsometry investigation. Journal of Vacuum Science and Technology B, 34(6), 061205 (2016). https://doi.org/10.1116/1.4963075
10. Wang X., Shi C., Zheng Q., Thompson D. Resonant enhancement of the thermorefl ectance response of silicon nanodisks. Applied Physics Letters, 127(6), 061103 (2025). https://doi.org/10.1063/5.0276240 ; https://www.elibrary.ru/icktrt
11. Vishnyakov G. N., Levin G. G., Kornysheva S. V. The state primary standard for the unit of refractive index. Izmeritel’naya Tekhnika, (2), 3–6 (2004). (In Russ.) https://www.elibrary.ru/pegzld
12. Vishnyakov G. N., Levin G. G., Kornysheva S. V., Zyuzev G. N., Lyudomirskiǐ M. B., Pavlov P. A., Filatov Yu. V. Measuring the refractive index on goniometer in the dynamic regime. Journal of Optical Technology, 72(12), 929–933 (2005). https://doi.org/10.1364/JOT.72.000929
13. Vishnyakov G. N., Minaev V. L., Bochkareva S. S. GET 138-2021 State primary refractive index standard. Izmeritel’naya Tekhnika, (5), 4–9 (2022). (In Russ.) https://doi.org/10.32446/0368-1025it.2022-5-4-9 ; https://www.elibrary.ru/zclnyk
14. Kuiper M., Koops R., Nieuwland R., Van der Pol E. Method to traceably determine the refractive index by measuring the angle of minimum deviation, Metrologia, 59(5), 055006 (2022). https://doi.org/10.1088/1681-7575/ac8991 ; https://www.elibrary.ru/tzwnlm
15. Yurin A., Vishnyakov G., Minaev V., Golopolosov A. The modifi ed minimum deviation method for measuring the refractive index. Optik, 292, 171400 (2023). https://doi.org/10.1016/j.ijleo.2023.171400 ; https://www.elibrary.ru/ssooat
16. Birch K. P., Downs M. J. An updated Edlen equation for the refractive index of air. Metrologia, 30(3), 155–162 (1993). https://doi.org/10.1088/0026-1394/30/3/004
17. Polyanskiy M. N. Refractiveindex.info database of optical constants. Scientifi c Data, 11, 94 (2024). https://doi.org/10.1038/s41597-023-02898-2
18. Malyshev V. I. Introduction to experimental spectroscopy. Nauka publ., Moscow (1979). (In Russ.)
19. Goodman J. W. Introduction to Fourier optics. MCGRAW-HILL BOOK COMPANY (1968).
20. Tian Q., Huhns M. N. Algorithms for subpixel registration. Computer Vision, Graphics and Image Processing, 35(2), 220–233 (1986). https://doi.org/10.1016/0734-189X(86)90028-9
21. Levin G. G., Minaev V. L., Moiseev N. N., Ilyushin Ya. A. Measurement of nanomovements of an object from the optical phase image. Izmeritel’naya Tekhnika, (7), 38–42 (2010). (In Russ.) https://www.elibrary.ru/mvqnxj
Review
For citations:
Vishnyakov G.N., Yurin A.I., Minaev V.L., Shumskyi E.V. Accuracy analysis of the infrared materials refractive index measurements by the minimum deviation method. Izmeritel`naya Tekhnika. 2026;75(2):46-57. (In Russ.) https://doi.org/10.32446/0368-1025it.2026-2-46-57
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