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A straightforward and reasonably quick method is described for the calculation of the aspherical correcting surface of the Schmidt camera, or other optical system in which the aspherical surface is adjacent to the object or image. An extension of the method is also described for cases where the correcting surface is in the interior of the system, and the rays must be refracted to match a given non-spherical wave surface, instead of meeting at a point. The procedure involved in the actual numerical calculation is described in detail, and selected figures are quoted from a representative system for which the calculation has been carried out.
Herzberger et al. (Sat,) studied this question.