OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 12 — Dec. 1, 1976
  • pp: 1320–1325

Theory of fifth-order aberration of graded-index media

Anjana Gupta, K. Thyagarajan, I. C. Goyal, and A. K. Ghatak  »View Author Affiliations

JOSA, Vol. 66, Issue 12, pp. 1320-1325 (1976)

View Full Text Article

Acrobat PDF (568 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In the present paper we have given the theory of the fifth-order aberrations of rotationally symmetric optical systems. Explicit formulas have been derived for the aberrations of an inhomogeneous medium. We have used these formulas to make an explicit evaluation of the variation of aberrations of meridional and skew rays with the angle of injection of the ray with the z axis. The results have been compared with those obtained by numerically solving the ray equation. We have also shown that for the values of parameters found in experimentally prepared graded-index media the fifth-order contribution is significant and must be taken into consideration while calculating the image patterns formed by these media.

© 1976 Optical Society of America

Anjana Gupta, K. Thyagarajan, I. C. Goyal, and A. K. Ghatak, "Theory of fifth-order aberration of graded-index media," J. Opt. Soc. Am. 66, 1320-1325 (1976)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. T. Uchida, M. Furukawa, I. Kitano, K. Koizumi, and H. Matsumura, IEEE J. Quantum Electron. QE-6, 606 (1970).
  2. A. D. Pearson, W. G. French, and E. G. Rawson, Appl. Phys. Lett. 15, 76 (1969).
  3. E. W. Marchand, in Progress in Optics, edited by E. Wolf, (North Holland, Amsterdam, 1973), Vol. XI, p. 307.
  4. P. J. Sands, J. Opt. Soc. Am. 61, 1086 (1970).
  5. D. T. Moore, J. Opt. Soc. Am. 61, 1195 (1971).
  6. E. G. Rawson, D. R. Herriott, and J. Mckenna, Appl. Opt. 9, 753 (1970).
  7. K. Thyagarajan and A. K. Ghatak, Optik 44, 329 (1976).
  8. W. Streifer and K. B. Paxton, Appl. Opt. 10, 769 (1971).
  9. K. B. Paxton and W. Streifer, Appl. Opt. 10, 1164 (1971).
  10. K. B. Paxton and W. Streifer, Appl. Opt. 10, 2090, (1971).
  11. D. T. Moore, J. Opt. Soc. Am. 61, 886 (1971).
  12. E. W. Marchand and D. J. Janeczko, J. Opt. Soc. Am. 64, 846 (1974).
  13. H. A. Buchdahl, Optical Aberration Coefficients (Dover, New York, 1968).
  14. R. K. Luneburg, Mathematical Theory of Optics (University of California, Berkeley, 1964).
  15. H. A. Buchdahl, Introduction to Hamiltonian Optics (Cambridge U. P., Cambridge, England, 1970).
  16. E. G. Rawson and R. G. Murray, IEEE J. Quantum Electron. QE-9, 1114 (1973).

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited