Spherical aberration - Further fascinating observations

Physics – Optics

Scientific paper

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Aberration, Lenses, Optical Properties, Apertures, Monochromatic Radiation, Optical Correction Procedure, Parameterization

Scientific paper

The effects of refractive index (in the range 1.5-2.0) and element decentering on spherical aberration in 1-4-element f/2 lenses are investigated by means of numerical simulations, extending the parametric analysis of Fischer and Mason (1987). The steps of a first-order analysis are outlined; the third-order relationships are explored; and particular attention is given to the aplanatic-concentric solution, the optimization of the classical solutions using CODE V and MACSIGMA, the features of the fully optimized solutions, and the tolerance-sensitivity analysis. The results are presented in extensive tables and graphs and briefly characterized. It is found that lens performance improves as the number of elements is increased, and that the refractive index plays an especially significant role in 3-element systems, where increasing the index from 1.5 to 2.0 produces a 6-order-of-magnitude drop in optical-path difference.

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