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Metrological Evaluation of Optical Surfaces Using Goniometric and Spectrophotometric Techniques Cover

Metrological Evaluation of Optical Surfaces Using Goniometric and Spectrophotometric Techniques

Open Access
|Dec 2025

Figures & Tables

Fig. 1.

Description of notation and angles [4].
Description of notation and angles [4].

Fig. 2.

CMI robo-goniospectrophotometer facility (a photo documentation from the sources of the Department of Radiometry and Photometry of CMI).
CMI robo-goniospectrophotometer facility (a photo documentation from the sources of the Department of Radiometry and Photometry of CMI).

Fig. 3.

Diagram of the RoboCapp detection system [6].
Diagram of the RoboCapp detection system [6].

Fig. 4.

Measured spectral radiance factor of Spectralon 99 (0.45).
Measured spectral radiance factor of Spectralon 99 (0.45).

Uncertainty budget_

Individual input parameterUncertainty contribution to the spectral radiance factor measured valueThe individual factors can be assessed as follows:
Uncertainty in angles / Cosine of θi / Zenith angle / Axis alignment1.34E-06This value is very small, indicating that the angles and axis alignment have a minimal effect on the overall measurement uncertainty. Therefore, this contribution is negligible.
Aperture + Sample-to-detector distance8.54E-03This factor contributes the most to the total uncertainty. The distance and geometry of the sample can significantly affect the measurement, which is reflected in the relatively high uncertainty value.
Detector uniformity / Linearity2.03E-03This is a significant factor, but smaller than the geometric aspects. Although the linearity of the detector may influence the measurement, it contributes moderately to the total uncertainty.
Noise / Reading of signal3.54E-03This factor also contributes a relatively high portion to the total uncertainty, suggesting that the signal is susceptible to noise, which could compromise the accuracy of the measurements.
View factor / Illuminated area1.67E-04This contribution is very small, indicating that the view factor and illuminated area have only a minimal impact on the measurement uncertainty.
Instability of the light source2.31E-03This uncertainty is significant because the stability of the light source can affect the measurement intensity, and consequently, the results.
Wavelength8.11E-04This contribution is very small and can be considered negligible in the context of the overall uncertainty.
Reproducibility3.32E-03This factor has a relatively high impact on the measurement results, suggesting some variability between individual measurements [9], [10].
Total uncertainty1.03E-02
Language: English
Page range: 400 - 404
Submitted on: Sep 29, 2025
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Accepted on: Dec 10, 2025
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Published on: Dec 26, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2025 Jana Gerneschová, Jan Rybář, Geiland Porrovecchio, Marek Šmíd, Peter Onderčo, published by Slovak Academy of Sciences, Institute of Measurement Science
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.