Statistical simplex approach to primary and secondary color correction in thick lens assemblies

Shelby D. V. Ament; Richard N. Pfisterer

doi:10.1117/1.OE.57.10.101703

10 May 2018 Statistical simplex approach to primary and secondary color correction in thick lens assemblies

Shelby D. V. Ament, Richard N. Pfisterer

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Optical Engineering, Vol. 57, Issue 10, 101703 (May 2018). https://doi.org/10.1117/1.OE.57.10.101703

Abstract

A glass selection optimization algorithm is developed for primary and secondary color correction in thick lens systems. The approach is based on the downhill simplex method and requires manipulation of the surface color equations to obtain a single glass-dependent parameter for each lens element. Linear correlation is used to relate this parameter to all other glass-dependent variables. The algorithm provides a statistical distribution of Abbe numbers for each element in the system. Examples of several lenses, from two- to six-element systems, are performed to verify this approach. The optimization algorithm proposed is capable of finding glass solutions with high color correction without requiring an exhaustive search of the glass catalog.

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Shelby D. V. Ament and Richard N. Pfisterer "Statistical simplex approach to primary and secondary color correction in thick lens assemblies," Optical Engineering 57(10), 101703 (10 May 2018). https://doi.org/10.1117/1.OE.57.10.101703

Received: 29 January 2018; Accepted: 12 April 2018; Published: 10 May 2018

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KEYWORDS

Glasses

Chemical elements

Algorithm development

Optimization (mathematics)

Lens design

Neodymium

Optical engineering

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