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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 31 — Nov. 1, 2010
  • pp: 6063–6071

Efficient numerical calculation of interference and diffraction of optical fields in any state of spatial coherence in the phase-space representation

Román Castañeda, Hernán Muñoz-Ossa, and Jorge Garcia-Sucerquia  »View Author Affiliations

Applied Optics, Vol. 49, Issue 31, pp. 6063-6071 (2010)

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The extended use of ray maps in the phase-space representation of optical fields in any state of spatial coherence has promoted the search of efficient approaches for their computation. In this paper, those maps are calculated via a matrix-based approach that i) allows accounting for complex degrees of spatial coherence of any shape and value, ii) models transmittances with real dimensions and not just point objects, iii) accounts for Fresnel phases in the modeled fields, and iv) consumes reasonably short computation time (few seconds for relatively big matrices). Examples illustrate the mentioned features.

© 2010 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(260.3160) Physical optics : Interference

ToC Category:
Coherence and Statistical Optics

Original Manuscript: May 3, 2010
Revised Manuscript: August 26, 2010
Manuscript Accepted: August 30, 2010
Published: October 26, 2010

Román Castañeda, Hernán Muñoz-Ossa, and Jorge Garcia-Sucerquia, "Efficient numerical calculation of interference and diffraction of optical fields in any state of spatial coherence in the phase-space representation," Appl. Opt. 49, 6063-6071 (2010)

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  1. R. Castañeda and J. Carrasquilla, “Spatial coherence wavelets and phase-space representation of diffraction,” Appl. Opt. 47, E76–E87 (2008). [CrossRef] [PubMed]
  2. M. Testorf, B. Hennelly, and J. Ojeda-Castaneda, Phase-Space Optics: Fundamentals and Applications (McGraw–Hill, 2010).
  3. R. Castaneda, R. Betancur, and J. F. Restrepo, “Interference in phase space,” J. Opt. Soc. Am. A 25, 2518–2527 (2008). [CrossRef]
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  8. R. Castañeda, G. Cañas-Cardona, and J. Garcia-Sucerquia, “Radiant, virtual, and dual sources of optical fields in any state of spatial coherence,” J. Opt. Soc. Am. A 27, 1322–1330 (2010). [CrossRef]
  9. J. García, R. Castañeda, and F. F. Medina, “Fresnel–Fraunhofer diffraction and spatial coherence,” Opt. Commun. 205, 239–245 (2002). [CrossRef]
  10. R. Castañeda, R. Betancur, and D. Hincapie, “Holographic features of spatial coherence wavelets,” J. Opt. Soc. Am. A 25, 1894–1901 (2008). [CrossRef]
  11. R. Betancur and R. Castañeda, “Spatial coherence modulation,” J. Opt. Soc. Am. A 26, 147–155 (2009). [CrossRef]
  12. R. Betancur, J. Restrepo, and R. Castaneda, “Beam shaping by spatial coherence modulation based on spatial coherence wavelets,” Opt. Lasers Eng. 47, 1340–1347 (2009). [CrossRef]

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