УДК: 681.7.05

Analysis of a system for shaping second-order non-spherical surfaces using the method of linear contact

Zverev, V.A., Nikolaeva, Y.S., Timoshchuk, I.N.

Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Зверев В.А., Николаева Ю.С., Тимощук И.Н. Анализ схемы формообразования несферических поверхностей второго порядка методом линейного соприкосновения // Оптический журнал. 2017. Т. 84. № 10. С. 25–29.

Zverev V.A., Nikolaeva Yu.S., Timoshchuk I.N. Analysis of a system for shaping second-order non-spherical surfaces using the method of linear contact [in Russian] // Opticheskii Zhurnal. 2017. V. 84. № 10. P. 25–29.

For citation (Journal of Optical Technology):

V. A. Zverev, Yu. S. Nikolaeva, and I. N. Timoshchuk, "Analysis of a system for shaping second-order non-spherical surfaces using the method of linear contact," Journal of Optical Technology. 84(10), 669-672 (2017). https://doi.org/10.1364/JOT.84.000669

Abstract:

Using the example of an ellipsoid of revolution, a mathematical analysis of a scheme used to shape second-order non-spherical surfaces by the method of linear contact was performed. It is shown that the method of linear contact does not make it possible to lap along a line when processing a number of non-spherical surfaces. In particular, the method is only applicable within the limits of permissible changes in the eccentricity of the generatrix.

Keywords:

non-spherical surface, eccentricity of curve, geometrical focus of non-spherical surface, method of linear contact

OCIS codes: 080.0080, 110.0110

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