The design of an aplanatic optical system with two aspheric surfaces according to a method developed by Vaskas is treated in more detail. The shape of each aspheric surface is determined by a differential equation. It is shown that the ray trajectories through the optical surfaces, located between the two aspheres, are found by solving a system of N linear equations where N is the number of intermediate surfaces. An example of an aspherized aplanatic system is given.
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Braat et al. (1979) studied this question.
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