OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.49.006063


View Full Text Article

Enhanced HTML    Acrobat PDF (590 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-31-6063


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  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]
  4. A. Luis and L. M. Sanchez-Brea, “Ray picture of diffraction gratings,” Opt. Commun. 282, 2009–2015 (2009). [CrossRef]
  5. M. Born and E. Wolf, Principles of Optics, 6th. ed.(Pergamon, 1993).
  6. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge Univ. Press, 1995).
  7. R. Castañeda and J. García, “Classes of source pairs in interference and diffraction,” Opt. Commun. 226, 45–55 (2003). [CrossRef]
  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]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

Supplementary Material


» Media 1: MOV (794 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited