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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. 27, Iss. 6 — Jun. 1, 2010
  • pp: 1490–1504

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

Kevin P. Thompson  »View Author Affiliations


JOSA A, Vol. 27, Issue 6, pp. 1490-1504 (2010)
http://dx.doi.org/10.1364/JOSAA.27.001490


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Abstract

Building on an earlier work on the nodal aberration theory of the 3rd-order aberrations [ J. Opt. Soc. Am. A 22, 1389 (2005) ] and the first paper in this series on the nodal aberration theory of higher-order aberrations [ J. Opt. Soc. Am. A 26, 1090 (2009) ], this paper continues the derivation and presentation of the intrinsic, characteristic, often multinodal geometry for each type/family of the 3rd- and 5th-order optical aberrations as categorized by parallel developments for rotationally symmetric optics. The first paper in this series on the higher-order terms developed the nodal properties of the spherical aberration family, including W 060 , W 240 M , and W 242 , and for completeness 7th-order spherical aberration W 080 . This second paper in the series develops and presents the intrinsic, characteristic, often multinodal properties of the family of comatic aberrations through 5th order, specifically W 151 , W 331 M , and W 333 [field-linear, 5th-order aperture coma; field-cubed, 3rd-order aperture coma; and field-cubed, elliptical coma (a 3rd-order in aperture 5th-order vector aberration)]. This paper will present the first derivations of trinodal aberrations by the author.

© 2010 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: March 29, 2010
Manuscript Accepted: March 31, 2010
Published: May 27, 2010

Citation
Kevin P. Thompson, "Multinodal fifth-order optical aberrations of optical systems without rotational symmetry: the comatic aberrations," J. Opt. Soc. Am. A 27, 1490-1504 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-6-1490


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References

  1. R. A. Buchroeder, “Tilted component optical systems,” Ph.D. Dissertation (University of Arizona, Optical Sciences Center, Tucson, Arizona 1976).
  2. R. V. Shack and K. P. Thompson, “Influence of alignment errors of a telescope system on its aberration field,” Proc. SPIE 251, 146–153 (1980).
  3. D. Hestenes, “Oersted Medal Lecture 2002: Reforming the mathematical language of physics,” Am. J. Phys. 71, 104–121 (2003). [CrossRef]
  4. H. H. Hopkins, Wave Theory of Aberrations (Oxford on Clarendon Press, 1950).
  5. 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]
  6. K. P. Thompson, “Description of the third-order optical aberrations of near-circular pupil optical systems without symmetry: errata,” J. Opt. Soc. Am. A 26, 699 (2009). [CrossRef]
  7. K. P. Thompson, “Multinodal fifth-order optical aberrations of optical systems without rotational symmetry; spherical aberration,” J. Opt. Soc. Am. A 26, 1090–1100 (2009). [CrossRef]
  8. 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 26, 1503–1517 (2009). [CrossRef]
  9. J. Sasian, “The theory of sixth-order wave aberrations,” Appl. Opt. 49, D69–D95 (2010). [CrossRef] [PubMed]
  10. K. P. Thompson, “Aberrations fields in tilted and decentered optical systems,” Ph.D. dissertation (Optical Sciences Center, University of Arizona, Tucson, Arizona, 1980).
  11. W. R. Hamilton, Elements of Quaternions, W.E.Hamilton, ed. (Longmans, Green, & Co., 1866), available on www.Scholar.Google.com.

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