Mathematical relationships between the generalized functional, edge-ray, aplanatic, and SMS design methods

John Bortz; Narkis Shatz

doi:10.1117/12.858807

18 August 2010 Mathematical relationships between the generalized functional, edge-ray, aplanatic, and SMS design methods

John Bortz, Narkis Shatz

Author Affiliations +

Proceedings Volume 7785, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration VII; 778502 (2010) https://doi.org/10.1117/12.858807
Event: SPIE Optical Engineering + Applications, 2010, San Diego, California, United States

Abstract

We explore the mathematical relationships between generalized functional designs and edge-ray, aplanatic, and simultaneous multiple surface (SMS) designs. We show that both edge-ray and dual-surface aplanatic designs are special cases of generalized functional designs. In addition, we show that dual-surface SMS designs are closely related to generalized functional designs, and that certain computational advantages accrue when the two design methods are combined. A number of examples are provided.

Citation Download Citation

John Bortz and Narkis Shatz "Mathematical relationships between the generalized functional, edge-ray, aplanatic, and SMS design methods", Proc. SPIE 7785, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration VII, 778502 (18 August 2010); https://doi.org/10.1117/12.858807

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