Third-order aberration coefficients of a thick lens with a given value of its focal length

The formulas are derived for calculation of the third-order aberration (Seidel) coefficients for a thick spherical lens in air with a given value of its focal length and for an object at infinity in this paper. The explicit analytic dependence of individual aberration coefficients on a lens thickness is derived. Equations were described for the re-calculation of aberration coefficients for a different value of focal length and different values of entrance pupil and object positions. Such formulas make it possible to analyze analytically an influence of the lens thickness on lens aberration properties and the replacement of a thin lens optical system by a thick lens model.