Progress in Aberration Theory for Freeform Off-axis Mirror Systems

Jérôme Caron; Tiberiu Ceccotti; Stefan Bäumer

doi:10.1117/12.2603625

OSA Optical Design and Fabrication 2021 (Flat Optics, Freeform, IODC, OFT)
OSA Technical Digest (Optica Publishing Group, 2021),
paper 120780G
•https://doi.org/10.1117/12.2603625

Progress in Aberration Theory for Freeform Off-axis Mirror Systems

Jérôme Caron, Tiberiu Ceccotti, and Stefan Bäumer

International Optical Design Conference 2021

Washington, DC United States
27 June–1 July 2021
ISBN: 978-1-943580-88-0

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Optical Design and Method II (ODMII)

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J. Caron, T. Ceccotti, and S. Bäumer, "Progress in Aberration Theory for Freeform Off-axis Mirror Systems," in OSA Optical Design and Fabrication 2021 (Flat Optics, Freeform, IODC, OFT), F. Capasso, W. Chen, P. Dainese, J. Fan, J. DeGroote Nelson, F. Duerr, J. Rogers, J. Rolland, P. Clark, R. Pfisterer, H. Rehn, S. Thibault, M. Jenkins, D. Wook Kim, and N. Trela-McDonald, eds., OSA Technical Digest (Optica Publishing Group, 2021), paper 120780G.

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Abstract

In this invited paper, a simple and efficient matrix formalism is presented for computing aberrations in plane-parallel freeform mirror systems. The approach is flexible and can be easily generalized to arbitrary aberration orders and/or to systems with different symmetries. As an illustration, we derive analytical expressions for all second- and third-order image and pupil aberrations in plane-parallel confocal N-mirror systems. Some design examples are also presented and discussed.

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