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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

  • Vol. 22, Iss. 7 — Jul. 1, 2005
  • pp: 1389–1401

Description of the third-order optical aberrations of near-circular pupil optical systems without symmetry

Kevin Thompson  »View Author Affiliations


JOSA A, Vol. 22, Issue 7, pp. 1389-1401 (2005)
http://dx.doi.org/10.1364/JOSAA.22.001389


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Abstract

Many authors, dating back to at least the 1950s, have presented mathematical expansions of the wave-front aberration function for optical systems without symmetry, typically based on limiting assumptions and simplifications, with some of the most recent work being done by Howard and Stone [Appl. Opt. 39, 3232 (2000) ]. This paper reveals that in fact there are no new aberrations in imaging optical systems with near-circular aperture stops but otherwise without symmetry. What does occur is that the field dependence of an aberration often changes when symmetry is abandoned. Each aberration type develops a characteristic field behavior in a system without symmetry. Specifically, for example, astigmatism, develops a binodal field dependence; e.g., there are typically two points in the field with zero astigmatism, and typically neither point is on axis. This construct, nodal aberration theory, for understanding the aberrations in systems without symmetry becomes a direct extension of an optical designer’s knowledge base. Through the use of real ray-based analysis methods, such as Zernike coefficients, it is possible to understand completely the aberrations of optical systems without symmetry in terms of rotationally symmetric aberration theory with the simple addition of the concept of field nodes.

© 2005 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design
(230.4040) Optical devices : Mirrors

History
Original Manuscript: October 27, 2004
Manuscript Accepted: December 3, 2004
Published: July 1, 2005

Citation
Kevin 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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-7-1389


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References

  1. R. Tessieres, J. Burge, manuscript available from the authors (Jim.Burge@opt-sci.arizona.edu)..
  2. R. A. Buchroeder, “Tilted component optical systems,” Ph.D. dissertation (University of Arizona, Tucson, Arizona, 1976).
  3. R. V. Shack (personal communication, 1978). Optical Sciences Center, University of Arizona, Tucson, Arizona 85721. Phone, 520-621-1356.
  4. H. H. Hopkins, The Wave Theory of Aberrations (Oxford on Clarendon Press, Oxford, UK, 1950).
  5. K. P. Thompson, “Reinterpreting Coddington, correcting 150 years of confusion,” in Legends in Applied Optics, R. S. Shannon and R. Shack, eds., SPIE Monograph PM148 (SPIE, to be published).
  6. K. P. Thompson, “Aberrations fields in tilted and decentered optical systems,” Ph.D. dissertation (University of Arizona, Tucson, Arizona, 1980).
  7. H. A. Unvala, “The orthonormalization of aberrations,” in Proceedings of the Conference on Lens Design with Large Computers (Institute of Optics, University of Rochester, Rochester, New York, 1976), pp. 16-1–16-27.
  8. E. J. Radkowski, “Use of orthonormalized image errors in optical design,” M.S. thesis (Institute of Optics, University of Rochester, Rochester, New York, 1967).
  9. G. E. Wiese, “Use of physically significant merit functions in automatic lens design,” M.S. thesis (Optical Sciences Center, University of Arizona, Tucson, Arizona, 1974).
  10. M. H. Kreitzer, “Image quality criteria for aberrated systems,” Ph.D. dissertation (Optical Sciences Center, University of Arizona, Tucson, Arizona, 1976).
  11. J. R. Rogers, “Techniques and tools for obtaining symmetrical performance from tilted component systems,” Opt. Eng. (Bellingham) 39, 1776–1787 (2001). [CrossRef]

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