OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 22, Iss. 19 — Oct. 1, 1983
  • pp: 3058–3063

Imaging properties of a defocusing gradient-index rod

Aruna Rohra  »View Author Affiliations

Applied Optics, Vol. 22, Issue 19, pp. 3058-3063 (1983)

View Full Text Article

Enhanced HTML    Acrobat PDF (545 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In this paper we report studies on imaging through a defocusing gradient-index rod. We have obtained analytic expressions for the third-order aberration of this system and compared it with the total aberration obtained by numerical ray tracing. Our studies show that the rod length can be critically optimized for low aberrations depending on the numerical aperture requirement. Further, a value of the fourth-order grading parameter exists for which the aberration can be reduced to a minimum for fixed values of other parameters.

© 1983 Optical Society of America

Original Manuscript: May 20, 1983
Published: October 1, 1983

Aruna Rohra, "Imaging properties of a defocusing gradient-index rod," Appl. Opt. 22, 3058-3063 (1983)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. D. Forer, S. N. Houde-Walter, J. J. Miceli, D. T. Moore, M. J. Nadeau, D. P. Ryan, J. M. Stagaman, N. J. Sullo, Appl. Opt. 22, 407 (1983). [CrossRef] [PubMed]
  2. K. Iga, M. Oikawa, S. Misawa, J. Banno, Y. Kokubun, Appl. Opt. 21, 3456 (1982). [CrossRef] [PubMed]
  3. K. Thyagarajan, A. Rohra, A. K. Ghatak, Appl. Opt. 19, 1061 (1980). [CrossRef] [PubMed]
  4. M. Kawazu, Y. Ogura, Appl. Opt. 19, 1105 (1980). [CrossRef] [PubMed]
  5. W. J. Tomlinson, Appl. Opt. 19, 1127 (1980). [CrossRef] [PubMed]
  6. Y. Ohtsuka, K. Maeda, Appl. Opt. 20, 3562 (1981). [CrossRef] [PubMed]
  7. K. Thyagarajan, A. K. Ghatak, Optik 44, 329 (1976).
  8. A. Gupta, K. Thyagarajan, I. C. Goyal, A. K. Ghatak, J. Opt. Soc. Am. 66, 1320 (1976). [CrossRef]
  9. See, e.g., A. K. Ghatak, K. Thyagarajan, Contemporary Optics (Plenum, New York, 1978). [CrossRef]
  10. We have given these equations here for the sake of completeness; a detailed discussion of the derivation of third-order aberration coefficients using this approach can be found in Ref. 9 or in R. K. Luneburg, Mathematical Theory of Optics (U. California Press, Berkeley, 1964).
  11. Since the system is rotationally symmetric we assume y0 = 0 without any loss of generality.
  12. Since the direction cosines of the ray at the object plane are given by (dx/ds)z=0 = sinγ cosψ, (dy/ds)z=0 = sinγ sinψ, and (dz/ds)z=0 = cosγ, where γ is the angle which the ray makes with the z axis and ψ is the angle which the projection of the ray on the x-y plane makes with the x axis, meridional rays correspond to ψ = 0 and skew rays correspond to ψ = π/2.
  13. We have considered rays launched within γ = ±10°.

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