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An exact approach for radius of curvature measurement in a calibration test sphere

Jalife-Chavira Jaime M., Trujillo-Schiaffino Gerardo, Mendoza-Villegas Paloma G., Salas-Peimbert Didia P., Anguiano-Morales Marcelino, Corral-Martínez Luis F., Zendejas-Hernández Edgar

Optica Applicata

2022

Vol. 52, nr 2

229--242

In this paper we present a technique to measure the radius of curvature of a test sphere based on the relation between acquired images of a circular cosine fringe pattern and size of virtual image formed on the calibration test surface. Radius of curvature is calculated with the exact equation proposed, using the parameters of the optical setup. Fringe pattern evaluation was performed by locating extrema indices. The mathematical formulation as well as the experimental setup and results are presented. After applying a linear fit algorithm to the data as a method of compensation, obtained results show an error within the tolerance established by the ISO 10343 specifications.