Properties of optical systems that contain decentered planoidal elements in the region of third-order aberrations

Чупраков С.А. Свойства оптических систем, содержащих децентрированные планоидные элементы в области аберраций третьего порядка // Оптический журнал. 2008. Т. 75. № 7. С. 48–54.

Chuprakov S.A. Properties of optical systems that contain decentered planoidal elements in the region of third-order aberrations [in Russian] // Opticheskii Zhurnal. 2008. V. 75. № 7. P. 48–54.

S. A. Chuprakov, "Properties of optical systems that contain decentered planoidal elements in the region of third-order aberrations," Journal of Optical Technology. 75 (7), 443-448 (2008). https://doi.org/10.1364/JOT.75.000443

Finite decentering of centrosymmetric planoidal elements occurs in optical systems that are purely mirror analogs of systems that contain refracting Schmidt correctors. The zero and close-to-zero focal power of planoidal surfaces makes it possible to use third-order aberration theory in the calculations for such systems. Examples are given of calculations for systems with a planoidal mirror element in the entrance pupil and close to the focal plane. The method considered here makes it possible to calculate the value of the main correction parameter of a planoidal surface to minimize the specific aberrations at the center of the field of view in systems with a decentered planoidal mirror in the entrance pupil, as well as to completely correct the decentering aberrations by means of a secondary planoidal mirror.