Yasuaki Hori, Akiko Hirai, Kaoru Minoshima, and Hirokazu Matsumoto, "High-accuracy interferometer with a prism pair for measurement of the absolute refractive index of glass," Appl. Opt. 48, 2045-2050 (2009)
We propose a variable-path interferometric technique for the measurement of the absolute refractive index of optical glasses. We use two interferometers to decide the ratio between changes in the optical path in a prism-shaped sample glass and in air resulting from displacement of the sample. The method allows precise measurements to be made without prior knowledge of the properties of the sample. The combined standard uncertainty of the proposed method is .
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, uncertainty of each factor; , sensitivity coefficient; , uncertainty for refractive-index measurement; , wavelength of interferometer 1 (); , wavelength of interferometer 2 (); , refractive index of sample prism; , refractive index of matching liquid; , apex angle of sample prism; , offset between measurement passes of the two interferometers; , temperature coefficient of refractive index of air; , pressure coefficient of the refractive index of air; , temperature coefficient of the refractive index of the sample prism.
Included in repeatability but not counted in the combined standard uncertainty or expanded uncertainty.
The uncertainty in refractive-index measurement , which is caused by the uncertainty of alignment of perpendicularity is shown as . The is split into and for description purposes.