Nonaxisymmetric Aberration Patterns from Widefield Telescopes Using Spinweighted Zernike Polynomials
Abstract
If the optical system of a telescope is perturbed from rotational symmetry, the Zernike wavefront aberration coefficients describing that system can be expressed as a function of position in the focal plane using spinweighted Zernike polynomials. Methodologies are presented to derive these polynomials to arbitrary order. This methodology is applied to aberration patterns produced by a misaligned Ritchey Chretian telescope and to distortion patterns at the focal plane of the DESI optical corrector, where it is shown to provide a more efficient description of distortion than conventional expansions.
 Authors:

 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Publication Date:
 Research Org.:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 Contributing Org.:
 DESI
 OSTI Identifier:
 1409339
 Report Number(s):
 FERMILABPUB17508AECD; arXiv:1711.03916
Journal ID: ISSN 00046280; 1637059
 Grant/Contract Number:
 AC0207CH11359
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Publications of the Astronomical Society of the Pacific
 Additional Journal Information:
 Journal Volume: 130; Journal Issue: 986; Journal ID: ISSN 00046280
 Publisher:
 Astronomical Society of the Pacific
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; methods analytical; telescopes
Citation Formats
Kent, Stephen M. Nonaxisymmetric Aberration Patterns from Widefield Telescopes Using Spinweighted Zernike Polynomials. United States: N. p., 2018.
Web. https://doi.org/10.1088/15383873/aaa6b8.
Kent, Stephen M. Nonaxisymmetric Aberration Patterns from Widefield Telescopes Using Spinweighted Zernike Polynomials. United States. https://doi.org/10.1088/15383873/aaa6b8
Kent, Stephen M. Thu .
"Nonaxisymmetric Aberration Patterns from Widefield Telescopes Using Spinweighted Zernike Polynomials". United States. https://doi.org/10.1088/15383873/aaa6b8. https://www.osti.gov/servlets/purl/1409339.
@article{osti_1409339,
title = {Nonaxisymmetric Aberration Patterns from Widefield Telescopes Using Spinweighted Zernike Polynomials},
author = {Kent, Stephen M.},
abstractNote = {If the optical system of a telescope is perturbed from rotational symmetry, the Zernike wavefront aberration coefficients describing that system can be expressed as a function of position in the focal plane using spinweighted Zernike polynomials. Methodologies are presented to derive these polynomials to arbitrary order. This methodology is applied to aberration patterns produced by a misaligned Ritchey Chretian telescope and to distortion patterns at the focal plane of the DESI optical corrector, where it is shown to provide a more efficient description of distortion than conventional expansions.},
doi = {10.1088/15383873/aaa6b8},
journal = {Publications of the Astronomical Society of the Pacific},
number = 986,
volume = 130,
place = {United States},
year = {2018},
month = {2}
}
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Figures / Tables:
Figure 1: (a) Schematic diagram showing the orientation and coordinate system definitions of the pupil plane ($ρ, ψ$) and focal plane ($r, \phi$). Each point in the focal plane (e.g., at radius vector $\bar{r}$) sees an image of the exit pupil. A global Cartesian ($x, y$) system is illustrated. (b)more »
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