Abstract
In the general case of an arbitrary arrangement of optical surfaces in space, it is proposed to take a straight line passing through the center of the entrance pupil perpendicularly to its plane as an assembly base. The coordinates of a point in the object plane and in the entrance pupil plane uniquely determine the position of the incident ray in the space. The wave aberration in the image of a point is represented by a power series of the general form as a function of these coordinates with terms of up to the fourth order. Aberrational analysis of individual components of this series is carried out. A particular case of decentering of an individual component in an axially symmetric optical system is considered. A new kind of aberration is shown to appear in this case.
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References
A. I. Tudorovskii, Theory of Optical Instruments (AN SSSR, Moscow, 1948), Vol. 1 [in Russian].
A. P. Grammatin, in Computational Optics, Ed. by M. M. Rusinov (Mashinostroenie, Leningrad, 1984) [in Russian].
G. G. Slyusarev, Methods of Calculation of Optical Systems (Mashinostroenie, Leningrad, 1969) [in Russian].
N. N. Gubel’, Aberrations of Decentered Optical Systems (Mashinostroenie, Moscow, 1975).
G. G. Slyusarev, Geometrical Optics (AN SSSR, Moscow, 1946) [in Russian].
V. N. Khvalovskii and S. V. Trubko, Izv. Vyssh. Uchebn. Zaved., Priborostr., 19(6), 114 (1976).
A. P. Grammatin, Opt. Spektrosk. 79(5), 875 (1995).
V. A. Zverev, Principles of Geometrical Optics (SPbGITMO, St. Petersburg) [in Russian].
M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1969; Nauka, Moscow 1973).
V. S. Ignatovskii, The Essentials of the Theory of Optical Instruments (Gos. Tekhn.-Teor. Izd., Leningrad-Moscow, 1933) [in Russian].
V. A. Zverev, Opt. Spektrosk. 86(4), 689 (1999).
A. P. Grammatin and E. A. Lustberg, Optiko-Mekhanicheskaya Promyshlennost’ No. 6, 35 (1975).
A. P. Grammatin, Opt. Zh. No. 4, 40 (1996).
V. A. Zverev, E. S. Rytova, and I. N. Timoshchuk, Opt. Spektrosk. 110(6), 998 (2011).
V. A. Zverev and I. N. Timoshchuk, Opt. Zh. 76(1), 31 (2009).
M. M. Rusinov, Adjustment of Optical Instruments (Nedra, Moscow, 1969) [in Russian].
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Original Russian Text © V.A. Zverev, E.S. Rytova, I.N. Timoshchuk, 2014, published in Optika i Spektroskopiya, 2014, Vol. 117, No. 4, pp. 672–682.
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Zverev, V.A., Rytova, E.S. & Timoshchuk, I.N. Analysis of aberrations of an image formed by a system of noncentered optical surfaces. Opt. Spectrosc. 117, 652–662 (2014). https://doi.org/10.1134/S0030400X14100257
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DOI: https://doi.org/10.1134/S0030400X14100257