An investigation is described in which asphericity is used to correct the spherical aberration of a high numerical aperture system comprising a sphere followed by a plane parallel plate. This scheme, first devised by Van Heel1 for use as a monochromatic test device, provides a model to investigate the aberration contribution from coefficient terms of the reduced Feder equation for asphericity on a plane surface. Analysis and manipulation of surface profiles is facilitated by use of a closed form of the Feder formula: [see Formula in manuscript].
A procedure is described for the third order optical design of zoom objectives. Formulae derived from the stopshift equations are developed to enable computation of component spherical aberration and central coma targets necessary for seidel aberration stability through zoom and focus.
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