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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 5 — May. 1, 2009
  • pp: 1090–1100

Multinodal fifth-order optical aberrations of optical systems without rotational symmetry: spherical aberration

Kevin P. Thompson  »View Author Affiliations

JOSA A, Vol. 26, Issue 5, pp. 1090-1100 (2009)

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Building off an earlier work on multinodal third-order aberrations [ J. Opt. Soc. Am. A 22, 1389 (2005) ], this is the first in a series of papers that derives and illustrates the characteristic multinodal geometry for each of the fifth-order aberrations. Part I (as this paper will be referred to) will present the spherical aberration family: specifically, W 060 , W 240 M and W 242 , and W 080 (fifth-order spherical, oblique spherical, and seventh-order spherical). Nodal aberration theory is proving to be very effective as both an optical design tool for fully unobscured off-axis telescopes and as an analysis method, particularly in the context of the response of any imaging optical systems to misalignment. It is important to recognize that this multinodal approach to aberration theory is not restricted to small perturbations. The remaining papers in this series will result in a complete presentation of the intrinsic characteristic multinodal properties of each of the fifth-order aberrations. As such, this series provides a definitive theory of the optical aberrations of (nonanamorphic) imaging systems with a circular aperture stop.

© 2009 Optical Society of America

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

Original Manuscript: November 5, 2008
Revised Manuscript: January 12, 2009
Manuscript Accepted: January 13, 2009
Published: April 7, 2009

Kevin P. Thompson, "Multinodal fifth-order optical aberrations of optical systems without rotational symmetry: spherical aberration," J. Opt. Soc. Am. A 26, 1090-1100 (2009)

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  1. K. P. Thompson, “Aberrations fields in tilted and decentered optical systems,” Ph.D. dissertation (University of Arizona, 1980).
  2. K. P. Thompson, “Description of the third-order optical aberrations of near-circular pupil optical systems without symmetry,” J. Opt. Soc. Am. A 22, 1389-1401 (2005). [CrossRef]
  3. L. Seidel, “About the third order expansion that describes the path of a light beam outside the plane of the axis through an optical system of refracting elements,” translated from German by R. Zehnder on behalf of J. Sasian, available from jose.sasian@optics.arizona.edu (2007). Originally published in Astronomische Nachrichten, 1027, 1028, 1029 (1865).
  4. H. H. Hopkins, The Wave Theory of Aberrations (Oxford on Clarendon, 1950).
  5. R. A. Buchroeder, “Tilted component optical systems,” Ph.D. dissertation (University of Arizona, 1976).
  6. K. P. Thompson, T. Schmid, O. Cakmakci, and J. P. Rolland, “A real-ray-based method for locating individual surface aberration field centers in imaging optical systems without rotational symmetry,” J. Opt. Soc. Am. A (to be published).
  7. J. Figoski, “Aberration characteristics of nonsymmetric systems,” Proc. SPIE 554, 104-109 (1985).
  8. K. P. Thompson, T. Schmid, and J. P. Rolland, “The misalignment induced aberrations of TMA telescopes,” Opt. Express 16, 20345-20353 (2008). [CrossRef] [PubMed]
  9. H. A. Buchdahl, Optical Aberration Coefficients (Oxford U. Press, 1954).
  10. M. C. Rimmer “Optical aberration coefficients,” M.S. thesis (University of Rochester, 1963).
  11. R. V. Shack, Optical Sciences Center, University of Arizona, Tucson, Arizona 85721. Phone, 520-621-1356. (Personal communication, 1977).
  12. B. A. McLeod, “Collimation of fast wide-field telescopes,” Publ. Astron. Soc. Jpn. 108, 217-219 (1996). [CrossRef]

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