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Calculation of a lens system with one or two aspherical surfaces having corrected spherical aberration.

The paper presents a detailed theoretical analysis of characteristics of a rotationally symmetric lens system with one or two aspherical surfaces having corrected spherical aberration and reduced coma aberration for a given position of the object and the image. Formulas for surface shape optimization are derived, and the procedure for calculating the aspherical system is shown. The presented formulas are verified with examples of ray tracing.