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Title: Estimating field-dependent nodal aberration theory coefficients from Zernike full-field displays by utilizing eighth-order astigmatism

Abstract

When using freeform surfaces in optical design, the field dependence of the aberrations can become quite complex and understanding these aberrations facilitates the design process. Here, we calculate the field dependence of low-order Zernike astigmatism (Z5/6) up to 8th order in Nodal Aberration Theory (NAT). Expansion of NAT astigmatism terms to 8th order facilitates a more accurate fit to the Zernike astigmatism data. We then show how this estimated field dependence can be used to quantitatively analyze a freeform telescope design. Lastly, this analysis tool adds to the optical designer’s arsenal when up against the challenge of designing with freeform optics.

Authors:
ORCiD logo [1];  [1];  [1]
  1. Univ. of Rochester, NY (United States). Inst. of Optics
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1598998
Alternate Identifier(s):
OSTI ID: 1575799
Report Number(s):
2020-28; 1547; 2504
Journal ID: ISSN 1084-7529; JOAOD6; 2020-28, 1547, 2504
Grant/Contract Number:  
NA0003856; NA0001944
Resource Type:
Accepted Manuscript
Journal Name:
Journal of the Optical Society of America. A, Optics, Image Science, and Vision
Additional Journal Information:
Journal Volume: 36; Journal Issue: 12; Journal ID: ISSN 1084-7529
Publisher:
Optical Society of America (OSA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE

Citation Formats

Schiesser, Eric M., Bauer, Aaron, and Rolland, Jannick P. Estimating field-dependent nodal aberration theory coefficients from Zernike full-field displays by utilizing eighth-order astigmatism. United States: N. p., 2019. Web. https://doi.org/10.1364/JOSAA.36.002115.
Schiesser, Eric M., Bauer, Aaron, & Rolland, Jannick P. Estimating field-dependent nodal aberration theory coefficients from Zernike full-field displays by utilizing eighth-order astigmatism. United States. https://doi.org/10.1364/JOSAA.36.002115
Schiesser, Eric M., Bauer, Aaron, and Rolland, Jannick P. Wed . "Estimating field-dependent nodal aberration theory coefficients from Zernike full-field displays by utilizing eighth-order astigmatism". United States. https://doi.org/10.1364/JOSAA.36.002115. https://www.osti.gov/servlets/purl/1598998.
@article{osti_1598998,
title = {Estimating field-dependent nodal aberration theory coefficients from Zernike full-field displays by utilizing eighth-order astigmatism},
author = {Schiesser, Eric M. and Bauer, Aaron and Rolland, Jannick P.},
abstractNote = {When using freeform surfaces in optical design, the field dependence of the aberrations can become quite complex and understanding these aberrations facilitates the design process. Here, we calculate the field dependence of low-order Zernike astigmatism (Z5/6) up to 8th order in Nodal Aberration Theory (NAT). Expansion of NAT astigmatism terms to 8th order facilitates a more accurate fit to the Zernike astigmatism data. We then show how this estimated field dependence can be used to quantitatively analyze a freeform telescope design. Lastly, this analysis tool adds to the optical designer’s arsenal when up against the challenge of designing with freeform optics.},
doi = {10.1364/JOSAA.36.002115},
journal = {Journal of the Optical Society of America. A, Optics, Image Science, and Vision},
number = 12,
volume = 36,
place = {United States},
year = {2019},
month = {11}
}

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