OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 8 — Aug. 1, 2001
  • pp: 1968–1971

Angle eikonals for a perfect zoom system

Adriaan Walther  »View Author Affiliations

JOSA A, Vol. 18, Issue 8, pp. 1968-1971 (2001)

View Full Text Article

Enhanced HTML    Acrobat PDF (118 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



I show that it is possible to choose the eikonals for the lens groups of a zoom lens such that extended objects at infinity are imaged perfectly, without any aberrations, at all zoom settings.

© 2001 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design

Original Manuscript: November 6, 2000
Manuscript Accepted: January 19, 2001
Published: August 1, 2001

Adriaan Walther, "Angle eikonals for a perfect zoom system," J. Opt. Soc. Am. A 18, 1968-1971 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. Walther, “Zoom lenses and computer algebra,” J. Opt. Soc. Am. A 16, 198–204 (1999). [CrossRef]
  2. R. Kingslake, A History of the Photographic Lens (Academic, New York, 1989), p. 161.
  3. For a general introduction to eikonal functions see Refs. 4-7.
  4. M. Herzberger, Strahlenoptik (Springer, Berlin, 1931).
  5. R. Luneburg, Mathematical Theory of Optics (University of California Press, Los Angeles, Calif., 1964).
  6. H. A. Buchdahl, An Introduction to Hamiltonian Optics (Cambridge University Press, Cambridge, UK, 1970).
  7. A. Walther, The Ray and Wave Theory of Lenses (Cambridge University Press, Cambridge, UK, 1995).
  8. T. Smith, “The changes in aberrations when the object and stop are moved,” Trans. Opt. Soc. 23, 139–153 (1921/1922).
  9. These calculations were carried out with the Oslo Six lens design program. Oslo Six is a registered trade mark of Sinclair Optics Inc., Fairport, New York.
  10. See, e.g., Ref. 7, pp. 228–229.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited