Study of diffraction interferometer properties using the Zakhar’evskii theory

G. A. Lenkova1
1Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

Tóm tắt

Results of an analytical study of the properties of a diffraction interferometer with the general path of noninverted wavefronts are presented. The interferometer is based on the Fresnel zone plate and designed to control the shapes of surfaces and second-order mirrors. It is shown that application of the theory of pupils and windows allows an essential simplification of consideration of optical systems, visual analysis of the shape of interference fringes, and calculation of the optimum design of an interferometer. The obtained formulas, which relate the positions of pupils and windows (entrance, intermediate, and exit ones) to the zone plate focus and the mirror curvature radius, can be useful in the development of diffraction interferometers of various designs.

Tài liệu tham khảo

G. S. Landsberg, Optics (Nauka, Moscow, 1976) [in Russian]. A. N. Zakhar’evskii, Interferometers (GIOM, Moscow, 1952) [in Russian]. D. Malakara, Optical Shop Testing (John Wiley ans Sons, 1992). R. N. Smartt, “Zone Plate Interferometer,” Optika Spektroskopiya 13(5), 1093–1099 (1974). V. P. Koronkevich and G. A. Lenkova, “Features of the Interference Field in the Diffraction Interferometer for Surface Control,” Optika Spektroskopiya 99(1), 168–175 (2005). V. P. Koronkevich and G. A. Lenkova, “Instrumental Error of the Diffraction Interferometer,” Avtometria 39(6), 26–38 (2003). V. P. Koronkevich, G. A. Lenkova, and A. E. Matochkin, “Synthetic Test Glass,” Avtometria 38(3), 20–32 (2002). N. N. Mikhel’son, Optical Telescopes. Theory and Design (Nauka, Moscow, 1976) [in Russian].