Influence of astigmatism and field curvature on the correction zones of an optical imaging system.

By a detailed analysis of the dependence of aberrations on the numerical aperture and the field of view of the optical system, it is possible to find such values of the numerical aperture and the field of view, where the residual wave aberration is zero. These values can be called correction zones. Our work presents a theoretical analysis of the described problem, and general formulas are derived for the expression of wave aberration coefficients using correction zones for astigmatism and field curvature of the third and fifth order. Finally, an analysis of optimum values of correction zones and the optimum position of the image plane has been performed using derived equations with respect to maximization of the Strehl definition. The analysis of the correction zone and the position of the image plane is presented on two examples of the same optical system, where the image plane is located either in the paraxial image plane or in the optimum image plane.