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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 19, Iss. 12 — Dec. 1, 2002
  • pp: 2467–2472

Conditions for correction of linear and quadratic field-dependent aberrations in plane-symmetric optical systems

Chunyu Zhao and James H. Burge  »View Author Affiliations

JOSA A, Vol. 19, Issue 12, pp. 2467-2472 (2002)

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The Abbe sine condition and the recently developed pupil astigmatism conditions provide a powerful set of relationships for describing imaging systems that are free from aberrations that have linear and quadratic dependence on field, to all orders in the pupil. We have proved both of these conditions and applied them to axisymmetric imaging systems. We now extend our approach to plane-symmetric systems. Still using Hamilton’s characteristic functions, we derive the general sine conditions and the pupil astigmatism conditions that describe plane-symmetric systems that are free of all aberrations with linear and quadratic field dependence.

© 2002 Optical Society of America

OCIS Codes
(220.1010) Optical design and fabrication : Aberrations (global)
(220.3620) Optical design and fabrication : Lens system design
(220.4830) Optical design and fabrication : Systems design

Original Manuscript: January 10, 2002
Revised Manuscript: June 20, 2002
Manuscript Accepted: June 20, 2002
Published: December 1, 2002

Chunyu Zhao and James H. Burge, "Conditions for correction of linear and quadratic field-dependent aberrations in plane-symmetric optical systems," J. Opt. Soc. Am. A 19, 2467-2472 (2002)

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  1. M. Born, E. Wolf, Principles of Optics (MacMillan, New York, 1964).
  2. H. A. Buchdahl, An Introduction To Hamiltonian Optics (Cambridge U. Press, New York, 1970).
  3. R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, Calif., 1966).
  4. C. Zhao, J. H. Burge, “Criteria for correction of quadratic field-dependent aberrations,” J. Opt. Soc. Am. A 19, 2313–2321 (2002). [CrossRef]
  5. W. T. Welford, Aberrations of Optical Systems (Hilger, Bristol, UK, 1986).
  6. S. A. Comastri, J. M. Simon, R. Blendowske, “Generalized sine condition for image-forming systems with centering errors,” J. Opt. Soc. Am. A 16, 602–612 (1999). [CrossRef]
  7. J. M. Sasian, “How to approach the design of a bilateral symmetric optical system,” Opt. Eng. 33, 2045–2061 (1994). [CrossRef]
  8. B. D. Stone, “Analog of third-order methods in the design of asymmetric systems,” in International Optical Design Conference, G. W. Forbes, ed., Vol. 22 of OSA Proceedings Series (Optical Society of America, Washington, D.C., 1994), pp. 361–366.
  9. See Sec. 34 of Ref. 3.
  10. C. Zhao, J. H. Burge, “Application of the pupil astigmatism criteria in optical design,” Appl. Opt. (to be published).
  11. L. Mertz, Excursions in Astronomical Optics (Springer, New York, 1996), Chap. 1.

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