Interferometer to Control Convex Hyperbolic Surfaces of Small Diameter

Control of small diameter convex hyperbolic surfaces on Fizeau interferometer is analyzed, and the field of these surfaces application is specified. Survey of existing methods to control such aspherical surfaces, principal dependencies describing optical element positions into the interferometer, and aberration relationships, are presented. Aberration analysis for operating branch of interferometer is performed. Further, investigation results are presented for eccentricity ranges and radii of curvature at the apex of controlled hyperbolic reflecting surfaces, and for the control precision corresponding to those ranges. Modified layout of interferometer with the registration branch is proposed.

References

[1] Puryaev D.T. Metody kontrolya opticheskikh asfericheskikh poverkhnostey [Control methods for optical aspherical surfaces]. Moscow, Mashinostroenie Publ., 1976. 261 p.

[2] Maksutov D.D. Astronomicheskaya optika [Astronomic optics]. Leningrad, Nauka Publ., 1979. 395 p.

[3] Zakaznov N.P., Kiryushin S.I., Kuzichev V.N. Teoriya opticheskikh system [Theory of optical systems]. SPb, Lan’ Publ., 2008. 446 p.

[4] Kreopalova G.V., Puryaev D.T. Issledovanie i kontrol’ opticheskikh system [Research and control of optical systems]. Moscow, Mashinostroenie, 1978. 223 p.

[5] Kreopalova G.V., Lazareva N.L., Puryaev D.T. ed. Opticheskie izmereniya [Optical measurements]. Moscow, Mashinostroenie Publ., 1987. 263 p.

[6] Volosov D.S., Tsivkin M.V. Teoriya i raschet svetoopticheskikh system [Theory and design of light-optical systems]. Moscow, Iskusstvo Publ., 1960. 534 p.

[7] Kolomiytsev Yu.V. Interferometry [Interferometers]. Leningrad, Mashinostroenie Publ., 1976. 296 p.

[8] Kirillovskiy V.K., Gavrilov E.V. Opticheskie izmereniya. Ch. 7. Innovatsionnye metody kontrolya pri izgotovlenii pretsizionnykh asfericheskikh poverkhnostey [Optical measurements. Part 7. Innovation control methods at the precise aspherical surfaces manufacturing]. SPb., GU ITMO Publ., 2009. 118 p.

[9] Puryaev D.T. Interferometer to control quality of Cassegrainian telescope convex hyperbolic mirrors. Patent SSSR no. 523274, 1976. Bull. no. 28. 3 p.

[10] Manufacture of secondary mirrors of glass-ceramics CO-115M for European projects. Availlable at: http://lzos.ru/content/view/214/5/ (accessed 05.06.2014).

[11] Interference techniques for in-process monitoring of telescope mirror optical surfaces] Availlable at://lzos.ru/content/view/216/ (accessed 05.06.2014).

[12] Malacara D. Optical Shop Testing. John Wiley & Sons, Inc., 2007. 888 p.