A sag equation for both on-axis and off-axis conics, suitable for use as a base surface for freeform optics

Nick Takaki; Jonathan C. Papa; Jannick P. Rolland

doi:10.1364/FREEFORM.2019.FM3B.3

Optical Design and Fabrication 2019 (Freeform, OFT)
OSA Technical Digest (Optica Publishing Group, 2019),
paper FM3B.3
•https://doi.org/10.1364/FREEFORM.2019.FM3B.3

A sag equation for both on-axis and off-axis conics, suitable for use as a base surface for freeform optics

Nick Takaki, Jonathan C. Papa, and Jannick P. Rolland

Freeform Optics 2019

Washington, DC United States
10–12 June 2019
ISBN: 978-1-943580-60-6

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Freeform Imaging Design II (FM3B)

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N. Takaki, J. C. Papa, and J. P. Rolland, "A sag equation for both on-axis and off-axis conics, suitable for use as a base surface for freeform optics," in Optical Design and Fabrication 2019 (Freeform, OFT), OSA Technical Digest (Optica Publishing Group, 2019), paper FM3B.3.

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Abstract

A formula for calculating conic section sag is presented, both for on-axis and off-axis conics. Existing conic section sag equations are examined, including potential numerical instabilities. Design applications are explored.

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Freeform Optics 2019

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