THEORETICAL BASIS OF THE LASER REFLECTION METHOD OF MEASURING THE RADIUS OF CURVATURE OF CIRCULAR-SYMMETRICAL LENSES
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Keywords

spherical lens
aspherical lens
radius of curvature
criterion function

Abstract

In this paper, a theoretical analysis of the laser reflection method for measurement of the radius of curvature for a circular-symmetric lenses was carried out. The measurements of the radius of curvature for a spherical and aspherical lenses were taken. The use of the criterion function in the calculation for minimalization of the uncertainty of radius curvature for a spherical lens has been demonstrated. The parameters of the function describing measurements and minimizing their uncertainty were determined.

https://doi.org/10.7862/rf.2024.pfe.4
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References

Meyer-Arendt J.R., Introduction to Classical and Modern Optics, Practice -Hall, Inc. Englewood Cliffs, N.J. 1972

Buczaj M., Using Fluid Focus Liquid Lens System and THR Threshold Processing to Upgrade Gastroscopic Testing. (in Polish: Wykorzystanie systemu soczewek cieczowych Fluid Focus i przetwarzania progowego THR do unowocześnienia badan gastroskopowych) PAK (Pomiary Automatyka Kontrola) 3,2005 pp.37-40

Polyanin A.D., Manzhirov A.V., Handbook of Mathematics for Engineers and Scientists, Chapman &Hall/CRC, London, 2007

Guide to the Expression of Uncertainty in Measurement, BIPM, 2008 +Suplements Tsai F.S., Johnson D., Francis C.S., Cho S.H., Qiao W., Adriapour A., Mintz Y., Morgan S., Talmini M., Lo Y., Fluidic lens laparoscopic zoom camera for minimally invasive surgery, Journal of Biomedical Optics 15 (3) 2010

Gross H., Dorband B., Muller H., Handbook of optical systems, Wiley-Vach Verlag GmbH 2012

Zięba A., Analysis of Experimental Data in Science and Technology Cambridge Scholar Publishing 2023 ISBN (10): 1-5275-0448-4 ISBN (13): 978-1-5275-0448-6 (It is extended version in Polish: Analiza danych w naukach ścisłych i technice, Warszawa, PWN 2014)

Milewski V., Chizh I., Testing Metods and hardware intraocular lenses. – in Ukrainian, Biulletin of Winnica Technology University. 2015 no 3. pp.7-14

Karanukaran B., Tharion J.,T., Ramrad A.,R., Dhawangele D.,P., Mukherji S.,M., Fabrication of miniature elastomer lenses with programmable liquid mold for

Theoretical basis of the laser reflection method of measuring … 59 smartphone microscopy: olydimethylsiloxane within situ curvature control, Journal of Biomedical Optics 23 (2) 2018

Lee S., Lee Ch., Verkade R.,V., Cheon G.W., Kang J.,V., Common-path all-fiber optical coherence tomography probe based on high-index elliptical epoxy-lensed fiber, Optical Engineering 58 (2) 2019

Tkaczenko W.M., Kotiuk C.O., Czerewań E.O. (Analysis of the simplest optical center systems) in Ukrainian, Collection of scientific works of the Faculty of Physics and Mathematics, Drokhobych State Pedagogical University of Ukraine 2023, no. 13, pp. 34-38

Puchalski J., Warsza Z.L.: The method of fitting a non-linear function to data of measured points and its uncertainty band. -in Polish. PAR (Pomiary Automatyka Robotyka) n. 3_2023 pp. 45 –55, doi:10.14313/PAR_249/45

Warsza Z.L., Puchalski J.: Assessment of the uncertainty of selected nonlinear functions determined from measurements by the linear regression method. World Seminar AMCTM XIII Sept. 2023 Sarajevo. Monograph: Pavese F., Bošnjaković A., Eichstädt S., Forbes A. B., Alves e Sousa J. (eds.): Advanced Mathematical and Computational Tools in Metrology and Testing XIII. Series on Advances in Mathematics for Applied Sciences, Vol. 94 © 2025 World Scientific Publ. Co. p. 288–307, doi.org/10.1142/9789819800674_0027

Warsza Z.L., Puchalski J., Więcek T., Method for fitting a nonlinear function to measurement data and its uncertainty band.- in Polish (Metoda dopasowania funkcji nieliniowej do danych pomiarowych i jej pasmo niepewności) in: Monograph of XV Scientific Conference SP’2024 Measurement Systems in Research and Industry, Łagów 9-12.06.2024 Zielona Góra University Pl. pp.151-154

Warsza Z.L., Puchalski J., Więcek T., Examples of fitting nonlinear functions by linearization with changes variables. – in Polish (Przykłady dopasowywania charakterystyk nieliniowych metodą zmiany zmiennych i ich niepewności). in Monograph of 56 MKM Conference: Rząsa M.R (ed.) Selected Aspects of Metrology. Opole University of Technology, 2024 pp. 29-44, ISN 1429-6063, ISBN978-83 66903-71-5

Warsza Z.L., Puchalski J., Więcek T., Metoda ze zmianą zmiennych dla dopasowania funkcji nieliniowych do danych pomiarowych i ich niepewności. Przegląd Elektrotechniczny 2024 nr12 s.252-259 in Polish, doi:10.15199/48.2024.12

Warsza Z.L., Puchalski J., Więcek T., Novel Method of Fitting a Nonlinear Function to Data of Measurement Based on Linearization by Change Variables, Examples and Uncertainty, Metrology 2024, 4, pp. 718–735. doi.org/10.3390/metrology4040042