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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 5 — May. 1, 2011
  • pp: 821–836

Multinodal fifth-order optical aberrations of optical systems without rotational symmetry: the astigmatic aberrations

Kevin P. Thompson  »View Author Affiliations


JOSA A, Vol. 28, Issue 5, pp. 821-836 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000821


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Abstract

Building on earlier work on the nodal aberration theory of third-order aberrations and a subset of fifth-order terms, this paper presents the multinodal field dependence of the family of aberrations describing the shape of the medial focal surface (the focal surface upon which the minimum RMS wavefront error is measured) and the astigmatic aberrations with respect to this surface through the fifth order. Specifically, the multinodal field dependence for W 420 M and W 422 (the field-quartic medial surface and field-quartic astigmatism) are derived and presented as well as their influence on the magnitude and nodal field dependence of the companion lower-order terms, W 220 M and W 222 . This paper provides the first derivations of field-quartic aberrations presented by the author in the refereed literature.

© 2011 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(220.1140) Optical design and fabrication : Alignment
(080.4035) Geometric optics : Mirror system design

History
Original Manuscript: December 8, 2010
Manuscript Accepted: January 6, 2011
Published: April 20, 2011

Citation
Kevin P. Thompson, "Multinodal fifth-order optical aberrations of optical systems without rotational symmetry: the astigmatic aberrations," J. Opt. Soc. Am. A 28, 821-836 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-5-821


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References

  1. R. A. Buchroeder, “Tilted component optical systems,” Ph.D. dissertation (University of Arizona, 1976).
  2. R. V. Shack and K. Thompson, “Influence of alignment errors of a telescope system on its aberration field,” Proc. SPIE 251, 146–153 (1980).
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  16. Translation by R. Zehnder on behalf of J. Sasian, available from jose.sasian@optics.arizona.edu.
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  20. T. Schmid, J. P. Rolland, A. Rakich, and K. P. Thompson, “Separation of the effects of astigmatic figure error from misalignment using Nodal Aberration Theory (NAT),” Opt. Express 18 (16), 17433–17447 (2010). [CrossRef] [PubMed]

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