Differential equation of an aspherical lens and its solution

Abstract

A method for calculating the meridian profile of the aspherical surface of a plane-convex lens excluding spherical aberration, without calculating the coefficients of the series, by direct solving the compiled differential equation is proposed. The differential equation of an aspherical lens was compiled, found its numerical solution, and got the meridian profile of an aspherical lens. For long-focus lenses found conditions to simplify the differential equation.

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