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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 34 — Dec. 2, 2002
  • pp: 7288–7293

Application of the pupil astigmatism criteria in optical design

Chunyu Zhao and James H. Burge  »View Author Affiliations


Applied Optics, Vol. 41, Issue 34, pp. 7288-7293 (2002)
http://dx.doi.org/10.1364/AO.41.007288


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Abstract

We developed the pupil astigmatism criteria for correcting the quadratic field-dependent aberrations. These criteria provide an elegant way to determine and correct aberrations that have quadratic field dependence and arbitrary pupil dependence in the same way that the Abbe sine condition is used for aberrations with linear field dependence. Like the sine condition, the pupil astigmatism criteria involve only the properties of the rays originating from the on-axis object point, so it is convenient to implement them in optical design. We introduce an algorithm to apply the criteria in designing new well-corrected optical systems. Some example designs are presented.

© 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

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

Citation
Chunyu Zhao and James H. Burge, "Application of the pupil astigmatism criteria in optical design," Appl. Opt. 41, 7288-7293 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-34-7288


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References

  1. M. Born, E. Wolf, Principles of Optics (MacMillan, New York, 1964).
  2. R. Kingslake, Lens Design Fundamentals (Academic, New York, 1978).
  3. L. Mertz, Excursions in Astronomical Optics (Springer, New York, 1996).
  4. R. K. Luneburg, Mathematical Theory of Optics (University of California Press, Berkeley, Calif., 1966).
  5. H. A. Buchdall, An Introduction to Hamiltonian Optics (Cambridge U. Press, Cambridge, UK, 1970).
  6. W. T. Welford, Aberrations of Optical Systems (Hilgler, Bristol, UK, 1986).
  7. zemax is an optical design code of Focus Software, Inc., Tucson, Arizona.
  8. W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes (Cambridge U. Press, Cambridge, UK, 1987), Chap. 2.
  9. L. W. Johnson, R. D. Riess, Numerical Analysis (Addison–Wesley, Reading, Mass., 1977), Chap. 5.

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