OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 12 — Dec. 1, 2003
  • pp: 2365–2369

Differential relations for the imaging coefficients of asymmetric systems

Jacob Rubinstein and Gershon Wolansky  »View Author Affiliations

JOSA A, Vol. 20, Issue 12, pp. 2365-2369 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (147 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We consider imaging properties embedded in the point eikonal for first-order asymmetric optical systems. We provide geometrical interpretations for the coefficients of the eikonal functions and proceed to show that there exist differential relations between them. The differentials are computed with respect to the position of the reference planes in the object or image spaces.

© 2003 Optical Society of America

OCIS Codes
(080.2730) Geometric optics : Matrix methods in paraxial optics
(080.3630) Geometric optics : Lenses

Original Manuscript: July 1, 2003
Manuscript Accepted: July 23, 2003
Published: December 1, 2003

Jacob Rubinstein and Gershon Wolansky, "Differential relations for the imaging coefficients of asymmetric systems," J. Opt. Soc. Am. A 20, 2365-2369 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. R. K. Luneburg, Mathematical Theory of Optics (UCLA Press, Los Angeles, Calif., 1964).
  2. B. D. Stone, G. W. Forbes, “Characterization of first-order optical properties for asymmetric systems,” J. Opt. Soc. Am. A 9, 478–489 (1992). [CrossRef]
  3. A. Walther, The Ray and Wave Theory of Lenses (Cambridge U. Press, Cambridge, UK, 1995).
  4. M. P. Keating, “A system matrix for astigmatic optical systems: I. Introduction and dioptric power relations,” Am. J. Opt. Physiol. 58, 810–819 (1981).
  5. W. F. Harris, “Wavefronts and their propagation in astigmatic optical systems,” Optom. Vision Sci. 73, 606–612 (1996). [CrossRef]
  6. D. Malacara, Z. Malacara, “Testing and centering of lenses by means of a Hartmann test with four holes,” Opt. Eng. 31, 1551–1555 (1991). [CrossRef]

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 Fig. 2

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited