After establishment of the correct focal length, axial chromatic aberration, and Petzval sum, the meridian section aberrations (either third order or trigonometrically exact) of a lens system can be simultaneously corrected by a graphical method which uses data from digital traces. For a given object point and aperture zone, a lens system may afford several parameter sets which yield solutions of the problem, or there may be within a given range of parameters. The method finds all existing solutions, or, if there are none, will indicate the variations probably necessary to reach a parameter range which does contain solutions.
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F. A. Lucy (1955) studied this question.
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