Why are astigmatic surfaces obtained when machines designed for fabricating surfaces with rotational symmetry are used? Experimental results and analysis

Кордеро Давилa А., Лемус Алонсо Г.П., Исасага Перес Р., Пино Мота Е. Почему при использовании станков, сконструированных для изготовления поверхностей с симметрией вращения, получаются астигматические поверхности? Результаты экспериментов и анализ // Оптический журнал. 2015. Т. 82. № 3. С. 68–72.

Cordero Dávila A., Lemus Alonso G.P., Izazaga Perez R., Pino Mota E. Why are astigmatic surfaces obtained when machines designed for fabricating surfaces with rotational symmetry are used? Experimental results and analysis [in Russian] // Opticheskii Zhurnal. 2015. V. 82. № 3. P. 68–72.

A. Cordero Dávila, G. P. Lemus Alonso, E. Pino Mota, and R. Izazaga Perez, "Why are astigmatic surfaces obtained when machines designed for fabricating surfaces with rotational symmetry are used? Experimental results and analysis," Journal of Optical Technology. 82(3), 181-184 (2015). https://doi.org/10.1364/JOT.82.000181

Astigmatic surfaces are usually obtained when commercial grinding machines designed for the production of surfaces of revolution are used. See R. Aspden et al. [Appl. Opt.11, 2739 (1972)] and A. S. Savel’ev and A. P. Bogdanov [Sov. J. Opt. Tech.52, 294 (1985)]. The dragging force applied by the rotating glass on a fixed tool fabricated from Teflon was measured in order to find an explanation for this phenomenon. It was detected that, regardless of the grinding machine, the rotational speed of the glass, and the radial position of the tool, the dragging force is invariably periodic and synchronous with the rotation of the glass. Experiments were carried out in three different optical shops. In addition, numerical modelling was carried out, as a result of which it was detected that a periodic frictional force, synchronized with the rotation of the glass, induces astigmatic wear. It was also concluded that a periodic frictional force can result from errors in parallelness between the surfaces of the glass and/or the axis of rotation of the grinding machine.

Part of this work was carried out as part of the master’s thesis of Gildardo Pablo Lemus Alonso “Measurement of the dragging force and its relationship with the production of astigmatic surfaces in the process of grinding,” December, 2011. Elizabeth Percino Zacarías, Claudia Carballo Manuel, and J. Miguel Arroyo Hernández from the Instituto Nacional de Astrofísica, Óptica y Electrónica. Jorge Cuautle Cortés, and Noé Cuautle Tepox from the Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla.