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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 7 — Jul. 1, 2009
  • pp: 1588–1597

Diffraction of paraxial partially coherent fields by planar obstacles in the Wigner representation

Miguel A. Alonso  »View Author Affiliations

JOSA A, Vol. 26, Issue 7, pp. 1588-1597 (2009)

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The free-space propagation of paraxial, partially coherent stationary fields can be described in a simple and intuitive way through the use of the Wigner function. In this context, this function plays the role of a generalized radiance that is constant along straight lines or rays. The effect of diffraction by transverse planar opaque obstacles or apertures is considered here for this representation, and a simple analytic approximate formula is given for the case when the incident field is quasi-homogeneous, at least in the neighborhood of the obstacle’s edges. In this result, diffraction is accounted for by including rays emanating from the obstacle’s edges.

© 2009 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.5630) Coherence and statistical optics : Radiometry
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction

ToC Category:
Coherence and Statistical Optics

Original Manuscript: February 18, 2009
Revised Manuscript: May 6, 2009
Manuscript Accepted: May 25, 2009
Published: June 17, 2009

Miguel A. Alonso, "Diffraction of paraxial partially coherent fields by planar obstacles in the Wigner representation," J. Opt. Soc. Am. A 26, 1588-1597 (2009)

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