OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 46, Iss. 4 — Apr. 1, 1956
  • pp: 285–288

Transfer Function for an Annular Aperture

EDWARD L. O’NEILL  »View Author Affiliations

JOSA, Vol. 46, Issue 4, pp. 285-288 (1956)

View Full Text Article

Acrobat PDF (323 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A method of evaluating the two-dimensional Fourier transform of the point image intensity distribution for an annular aperture is presented. Since all three integrals involved are of the same basic form, it is shown that an analytic solution can be obtained by integrating the general expression with respect to a parameter. The result agrees with Steel’s expression obtained by convolving the aperture function with its complex conjugate. A family of transfer functions is then plotted with the ratio of inner to outer radius of the annulus as a parameter.

EDWARD L. O’NEILL, "Transfer Function for an Annular Aperture," J. Opt. Soc. Am. 46, 285-288 (1956)

Sort:  Author  |  Journal  |  Reset


  1. W. H. Steel, Rev. opt. 32, 4–26, 143–178, 269–306 (1953).
  2. C. C. Steward, The Symmetrical Optical System (Cambridge University Press, London, 1928).
  3. Lord Rayleigh, Scientific Papers, Vol. III, p. 87.
  4. Osterberg and Wissler, J. Opt. Soc. Am. 39, 558 (1949).

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