Measurements of local radii of curvature by the retrocollimated interferometric method
J. D. Sacramento–Solano, F.S. Granados–Agustín, and A.A. Cornejo–Rodríguez
Instituto Nacional de Astrofísica Óptica y Electrónica, Apartado Postal 51 y 216, Puebla Pue., 72000 México, e–mail: dsolano@inaoep.mx, fermin@inaoep.mx, acornejo@inaoep.mx
Recibido el 5 de septiembre de 2007
Aceptado el 14 de mayo de 2008
Abstract
With the measurements of the local radii of curvature of an aspherical optical, convex or concave surface, the shape of the surface can be found. In this paper a method is proposed for taking radius measurements, for off–axis sections of an optical surface, using a retrocollimated interference method (rim) that was previously developed by several authors[1–3]; but in particular, in this paper, the one described by Xiang[4] for measuring long radii of curvature[5,6] is used.
Keywords: Retrocollimated; interference; radii of curvature.
Resumen
A partir de las medidas de los radios de curvatura locales, de una superficie esférica convexa ó cóncava, se puede encontrar la forma de dicha superficie. En este trabajo se propone un nuevo método para medir los radios de curvatura locales, de una superficie fuera de eje, usando un método interferométrico por retrocolimación, desarrollado anteriormente por varios autores para superficies en eje[1–3]; en particular en este trabajo se usa el método desarrollado por Xiang[4], cuya característica principal es medir radios de curvatura largos[5,6].
Descriptores: Retrocolimación; interferencia; radios de curvatura locales.
PACS: 42.87.–d; 42.79.Bh; 42.25.Hz
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Acknowledgments
This research was supported by CONACyT–México under projects P49699–F and 50395–F. We also wish to thank Miss Ana María Zarate–Rivera and the technicians of the INAOE Optical Shop, as well as the referee for his valuable comments.
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