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Computer Optics, 2022, Volume 46, Issue 6, Pages 877–883
DOI: https://doi.org/10.18287/2412-6179-CO-1159
(Mi co1081)
 

DIFFRACTIVE OPTICS, OPTICAL TECHNOLOGIES

Measurement of the radius of curvature of a spherical surface based on the transport-of-intensity equation

N. G. Stsepuroa, M. S. Kovalyova, G. K. Krasina, I. V. Gritsenkoa, A. V. Bobkovab, S. I. Kudryashovc

a Bauman Moscow State Technical University
b R\&D Geofizika-Cosmos
c P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow
Abstract: The transport-of-intensity equation provides a new non-interferometric and non-iterative access to quantitative information about the phase of a light wave by measuring intensity distributions. This equation can be used to implement a simple and accurate spatial phase measurement for optical testing of spherical surfaces. The method requires only a CMOS camera, which records transverse field intensity distributions in several planes. Processing of experimental measurements with specialized software allows one to reconstruct the value of the radius of curvature of the spherical surface under test with high accuracy. The method is compared with measurements made by an interferometer, showing the difference between the values of the surface radius of curvature to be 0.01% or less and indicating good agreement of the results.
Keywords: laser beam; wavefront; measurement radius of curvature of a spherical surface; phase distortions; transport-of-intensity equation
Funding agency Grant number
Russian Science Foundation 20-79-00264
Russian Foundation for Basic Research 20-32-90161
This work was supported by the Russian Science Foundation (Project No. 20-79-00264) and Russian Foundation for Basic Research (Project No. 20-32-90161).
Received: 18.05.2022
Accepted: 30.06.2022
Document Type: Article
Language: Russian
Citation: N. G. Stsepuro, M. S. Kovalyov, G. K. Krasin, I. V. Gritsenko, A. V. Bobkov, S. I. Kudryashov, “Measurement of the radius of curvature of a spherical surface based on the transport-of-intensity equation”, Computer Optics, 46:6 (2022), 877–883
Citation in format AMSBIB
\Bibitem{StsKovKra22}
\by N.~G.~Stsepuro, M.~S.~Kovalyov, G.~K.~Krasin, I.~V.~Gritsenko, A.~V.~Bobkov, S.~I.~Kudryashov
\paper Measurement of the radius of curvature of a spherical surface based on the transport-of-intensity equation
\jour Computer Optics
\yr 2022
\vol 46
\issue 6
\pages 877--883
\mathnet{http://mi.mathnet.ru/co1081}
\crossref{https://doi.org/10.18287/2412-6179-CO-1159}
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