On the theory of aberrations of a concave diffraction grating

Бажанов Ю.В., Захарова Н.В. К теории аберраций вогнутой дифракционной решетки // Оптический журнал. 2010. Т. 77. № 4. С. 17–18.

Bazhanov Yu.V., Zakharova N.V. On the theory of aberrations of a concave diffraction grating [in Russian] // Opticheskii Zhurnal. 2010. V. 77. № 4. P. 17–18.

Yu. V. Bazhanov and N. V. Zakharova, "On the theory of aberrations of a concave diffraction grating," Journal of Optical Technology. 77(4), 237-238 (2010). https://doi.org/10.1364/JOT.77.000237

This paper discusses how expressions for the second-order aberration coefficients obtained by means of the optical path function and analytical expressions for accurately calculating the ray path are associated with semiempirical formulas that take first-order astigmatism into account. It is shown that these formulas need to be supplemented by including in them the dependence of the spectral image on defocusing.