Spline functions: an alternative representation of aspheric surfaces

Applied Optics
A K Rigler, T P Vogl

Abstract

This paper offers an alternative to current practice in the specification of aspheric optical surfaces. Spline functions, a numerical analog of a flexible draftsman's curve, are used to represent a rotationally symmetric aspheric surface. We develop the interpolation formulas pertinent to ray tracing and apply an optimization procedure to design a simple Schmidt system as an illustration. We conclude by showing that the new formulation seems to be more compatible with the optimization process than the usual polynomial aspheric.

Citations

Feb 24, 2011·Applied Optics·Philipp JesterKarsten Urban
May 1, 1972·Applied Optics·T P VoglH A Unvala
Aug 23, 2011·Applied Optics·Alberto Cordero-DávilaIrce Leal-Cabrera
Feb 3, 2016·Applied Optics·De-Wen ChengYong-Tian Wang

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