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Applied Optics

Applied Optics


  • Vol. 36, Iss. 23 — Aug. 10, 1997
  • pp: 5796–5804

Defocus transfer function for circularly symmetric pupils

Alan R. FitzGerrell, Edward R. Dowski, Jr., and W. Thomas Cathey  »View Author Affiliations

Applied Optics, Vol. 36, Issue 23, pp. 5796-5804 (1997)

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We present a two-dimensional function that graphically illustrates the effects of defocus on the optical transfer function (OTF) associated with a circularly symmetric pupil function. We call it the defocus transfer function (DTF). The function is similar in application to the ambiguity function, which can be used to display the OTF associated with a defocused rectangularly separable pupil function. The properties of the DTF make it useful for analyzing optical systems with circularly symmetric pupils when one is interested in the OTF as a function of defocus. In addition to presenting these properties, we give examples of the DTF for systems with clear, bifocal, and annular pupil functions.

© 1997 Optical Society of America

Original Manuscript: March 20, 1996
Revised Manuscript: March 4, 1997
Published: August 10, 1997

Alan R. FitzGerrell, Edward R. Dowski, and W. Thomas Cathey, "Defocus transfer function for circularly symmetric pupils," Appl. Opt. 36, 5796-5804 (1997)

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