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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: 2390–2392

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

Marek Kowalczyk, Tomasz Cichocki, Manuel Martı́nez-Corral, and Laura Muñoz-Escrivá  »View Author Affiliations


JOSA A, Vol. 20, Issue 12, pp. 2390-2392 (2003)
http://dx.doi.org/10.1364/JOSAA.20.002390


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Abstract

Landgrave and Berriel-Valdos presented axial and radial sampling expansions for three-dimensional light amplitude distribution around the Gaussian focal point. [J. Opt. Soc. Am. A 14, 2962 (1997)]. The expansions were obtained under the assumption that the pupil function was rotationally symmetric. We present a new derivation of the axial expansion that does not make use of arbitrary formal assumptions used by Landgrave and Berriel-Valdos and eliminates some faults of the derivation given by Arsenault and Boivin, who published this expansion in 1967 [J. Appl. Phys. 38, 3988 (1967)]. We also discuss generalizations of the axial expansion to the case of pupils that exhibit no symmetry with respect to the axis considered.

© 2003 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(110.1220) Imaging systems : Apertures
(220.1230) Optical design and fabrication : Apodization

History
Original Manuscript: July 29, 2002
Revised Manuscript: March 27, 2003
Manuscript Accepted: August 6, 2003
Published: December 1, 2003

Citation
Marek Kowalczyk, Tomasz Cichocki, Manuel Martı́nez-Corral, and Laura Muñoz-Escrivá, "Sampling expansions for three-dimensional light amplitude distribution in the vicinity of an axial image point: comment," J. Opt. Soc. Am. A 20, 2390-2392 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-12-2390

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