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Applied Optics

Applied Optics


  • Vol. 41, Iss. 34 — Dec. 2, 2002
  • pp: 7284–7287

Comparison of exact pupil astigmatism conditions with Seidel approximations

Chunyu Zhao and James H. Burge  »View Author Affiliations

Applied Optics, Vol. 41, Issue 34, pp. 7284-7287 (2002)

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The aberrations of axisymmetric imaging systems can be calculated to third order by use of the Seidel formulas. The Coddington equations give aberrations that have quadratic dependence on the pupil, for all field points. The pupil astigmatism conditions were recently developed to predict and control aberrations that have quadratic field dependence and arbitrary pupil dependence. We investigate the relationship between the exact pupil astigmatism conditions and the classical Seidel treatment of pupil aberrations.

© 2002 Optical Society of America

OCIS Codes
(220.1010) Optical design and fabrication : Aberrations (global)
(220.3620) Optical design and fabrication : Lens system design

Original Manuscript: December 8, 2001
Revised Manuscript: June 3, 2002
Published: December 1, 2002

Chunyu Zhao and James H. Burge, "Comparison of exact pupil astigmatism conditions with Seidel approximations," Appl. Opt. 41, 7284-7287 (2002)

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  1. W. T. Welford, Aberrations of Optical Systems (Hilgler, Bristol, UK, 1986).
  2. R. V. Shack, Introduction to Aberration Theory, Class Notes (Optical Sciences Center, University of Arizona, Tucson, Ariz., 1998).
  3. R. V. Shack, Advanced Aberration Theory, Class Notes (Optical Sciences Center, the University of Arizona, Tucson, Ariz., 1998).
  4. M. Born, E. Wolf, Principles of Optics (MacMillan, New York, 1964).
  5. R. K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley, Calif., 1966).
  6. H. A. Buchdall, An Introduction to Hamiltonian Optics (Cambridge U. Press, Cambridge, UK, 1970).
  7. W. J. Smith, Modern Optical Engineering (McGraw-Hill, New York, 1990).

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