Spline Functions: Anx Alternative Representation Of Aspheric Surfaces
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. © 1971 Optical Society of America.
Recommended Citation
A. K. Rigler and T. P. Vogl, "Spline Functions: Anx Alternative Representation Of Aspheric Surfaces," Applied Optics, vol. 10, no. 7, pp. 1648 - 1651, Optica, Jan 1971.
The definitive version is available at https://doi.org/10.1364/AO.10.001648
Department(s)
Mathematics and Statistics
International Standard Serial Number (ISSN)
2155-3165; 1559-128X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Optica, All rights reserved.
Publication Date
01 Jan 1971
