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

Schiesser, Eric M.; Bauer, Aaron; Rolland, Jannick P.

doi:10.1364/JOSAA.36.002115

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:

^[1]; Bauer, Aaron ^[1]; Rolland, Jannick P. ^[1]

Univ. of Rochester, NY (United States). Inst. of Optics

Publication Date:: 2019-11-27

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; TRN: US2103409

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.  doi:10.1364/JOSAA.36.002115.

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                    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

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                    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.

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@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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Works referenced in this record:

Visual space assessment of two all-reflective, freeform, optical see-through head-worn displays
journal, January 2014

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Optics Express, Vol. 22, Issue 11
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Reimers, Jacob; Bauer, Aaron; Thompson, Kevin P.
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Rogers, John R.
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Design of a freeform electronic viewfinder coupled to aberration fields of freeform optics
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Bauer, Aaron; Rolland, Jannick P.
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Description of the third-order optical aberrations of near-circular pupil optical systems without symmetry
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Thompson, Kevin P.
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An analytic expression for the field dependence of Zernike polynomials in rotationally symmetric optical systems
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Title: Estimating field-dependent nodal aberration theory coefficients from Zernike full-field displays by utilizing eighth-order astigmatism

Abstract

Citation Formats

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Starting geometry creation and design method for freeform optics journal, May 2018

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Description of the third-order optical aberrations of near-circular pupil optical systems without symmetry journal, January 2005

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journal, January 2014

Aberration analysis for freeform surface terms overlay on general decentered and tilted optical surfaces
journal, January 2018

On-the-fly surface manufacturability constraints for freeform optical design enabled by orthogonal polynomials
journal, January 2019

An analytic expression for the field dependence of Zernike polynomials in rotationally symmetric optical systems
journal, January 2012

Interpretation of pupil aberrations in imaging systems
conference, August 2006

Multinodal fifth-order optical aberrations of optical systems without rotational symmetry: the comatic aberrations
journal, January 2010

Starting geometry creation and design method for freeform optics
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Multinodal fifth-order optical aberrations of optical systems without rotational symmetry: spherical aberration
journal, January 2009

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