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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. 18, Iss. 10 — Oct. 1, 2001
  • pp: 2486–2490

Wigner function for nonparaxial wave fields

Colin J. R. Sheppard and Kieran G. Larkin  »View Author Affiliations


JOSA A, Vol. 18, Issue 10, pp. 2486-2490 (2001)
http://dx.doi.org/10.1364/JOSAA.18.002486


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Abstract

The generalized optical transfer function and the spectral correlation function are investigated for nonparaxial two-dimensional wave fields. The angle-impact marginal of the four-dimensional Wigner function is derived directly. For focused wave fields of semiangle greater than 90°, the spectral correlation function exhibits overlapping and interference. For focused wave fields for which the semiangle is known to be less than 180°, the magnitude and phase can be recovered directly from knowledge of the intensity in the focal region.

© 2001 Optical Society of America

OCIS Codes
(260.1960) Physical optics : Diffraction theory
(350.7420) Other areas of optics : Waves

History
Original Manuscript: November 30, 2000
Revised Manuscript: April 9, 2001
Manuscript Accepted: April 11, 2001
Published: October 1, 2001

Citation
Colin J. R. Sheppard and Kieran G. Larkin, "Wigner function for nonparaxial wave fields," J. Opt. Soc. Am. A 18, 2486-2490 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-10-2486

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