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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

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 3 — Mar. 1, 2006
  • pp: 691–700

Nonparaxial fields with maximum joint spatial–directional localization. I. Scalar case

Miguel A. Alonso, Riccardo Borghi, and Massimo Santarsiero  »View Author Affiliations


JOSA A, Vol. 23, Issue 3, pp. 691-700 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000691


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Abstract

In paraxial optics, the spatial and angular localization of a beam are usually characterized through second moments in intensity. For these measures, Gaussian beams have the property of achieving a minimum angular spread for a given spatial spread (or beam waist). For wide-angle fields, however, the standard measures of spatial and angular localization become inappropriate, and new definitions must be used. Previously proposed definitions [ J. Opt. Soc. Am. A 17, 2391 (2000) ] are adopted, and the scalar monochromatic wave fields that achieve a minimum angular spread for a given spatial spread are found.

© 2006 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: March 15, 2005
Manuscript Accepted: August 13, 2005

Citation
Miguel A. Alonso, Riccardo Borghi, and Massimo Santarsiero, "Nonparaxial fields with maximum joint spatial-directional localization. I. Scalar case," J. Opt. Soc. Am. A 23, 691-700 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-3-691

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