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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: 2393–2396

Sampling expansions for three-dimensional light amplitude distribution in the vicinity of an axial image point: reply to comment

J. E. A. Landgrave and L. R. Berriel-Valdos  »View Author Affiliations


JOSA A, Vol. 20, Issue 12, pp. 2393-2396 (2003)
http://dx.doi.org/10.1364/JOSAA.20.002393


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Abstract

The Comment by Kowalczyk [J. Opt. Soc. Am. A 20, 2390 (2003)] on our paper on sampling expansions for three-dimensional light amplitude distributions in the vicinity of an axial image point [J. Opt. Soc. Am. A 14, 2962 (1997)] presents a “new” derivation of the axial sampling expansion (ASE), pointing out some “faults” in our derivation and that of ArsenaultBoivin [J. Appl. Phys. 38, 3988 (1967)], a derivation of which we were not aware. Finally, it also summarizes work done in generalizing the ASE to the case of nonrotationally symmetric pupil functions. The purpose of this reply is to clarify some relevant issues concerning the derivation of this kind of expansion, since, judging from some ideas expressed in their Comment, we believe these issues were left insufficiently clear in our paper. In doing this, we derive some additional sampling expansions.

© 2003 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(110.1220) Imaging systems : Apertures
(220.1230) Optical design and fabrication : Apodization

History
Original Manuscript: May 20, 2003
Manuscript Accepted: August 6, 2003
Published: December 1, 2003

Citation
J. E. A. Landgrave and L. R. Berriel-Valdos, "Sampling expansions for three-dimensional light amplitude distribution in the vicinity of an axial image point: reply to comment," J. Opt. Soc. Am. A 20, 2393-2396 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-12-2393

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