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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • 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)
http://dx.doi.org/10.1364/JOSAA.20.002365


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Abstract

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

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

Citation
Jacob Rubinstein and Gershon Wolansky, "Differential relations for the imaging coefficients of asymmetric systems," J. Opt. Soc. Am. A 20, 2365-2369 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-12-2365


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References

  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]

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