OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 9 — Apr. 28, 2008
  • pp: 6433–6442

Independent-elementary-field model for three-dimensional spatially partially coherent sources

Jari Turunen and Pasi Vahimaa  »View Author Affiliations

Optics Express, Vol. 16, Issue 9, pp. 6433-6442 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (180 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The independent-elementary-source model recently developed for planar sources [Opt. Express 14, 1376 (2006)] is extended to volume source distributions. It is shown that the far-field radiation pattern is independent of the three-dimensional (3D) distribution of the coherent elementary sources, but the absolute value of the complex degree of spectral coherence is determined by the 3D Fourier transform of the weight function of the elementary fields. Some methods to determine an ‘effective’ three-dimensional source distribution with partial transverse and longitudinal spatial coherence properties are outlined. Especially in its longitudinal extension, this effective source volume can be very different from the primary emitting volume of the source. The application of the model to efficient numerical propagation of partially coherent fields is discussed.

© 2008 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1940) Diffraction and gratings : Diffraction

ToC Category:
Coherence and Statistical Optics

Original Manuscript: February 20, 2008
Revised Manuscript: March 31, 2008
Manuscript Accepted: March 31, 2008
Published: April 22, 2008

Jari Turunen and Pas Vahimaa, "Independent-elementary-field model for three-dimensional spatially partially coherent sources," Opt. Express 16, 6433-6442 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
  2. P. Vahimaa and J. Turunen, "Finite-elementary source model for partially coherent radiation," Opt. Express 14,1376 (2006). [CrossRef] [PubMed]
  3. F. Gori and C. Palma, "Partially coherent sources which give rise to highly directional fields," Opt. Commun. 27, 185-187 (1978). [CrossRef]
  4. F. Gori, "Directionality and spatial coherence," Opt. Acta 27, 1025-1034 (1980). [CrossRef]
  5. F. Gori and M. Santarsiero, "Devising genuine correlation functions," Opt. Lett. 32, 3531-3133 (2007). [CrossRef] [PubMed]
  6. M. Peeters, G. Verschaffelt, H. Thienpont, S. K. Mandre, P. Vahimaa, and J. Turunen, "Propagation of spatially partially coherent emission from a vertical-cavity surface-emitting laser," Opt. Express 13, 9337-9345 (2005). [CrossRef] [PubMed]
  7. P. Vahimaa and J. Turunen, "Independent-elementary-pulse representation for non-stationary fields," Opt. Express 14, 5007-5012 (2006). [CrossRef] [PubMed]
  8. A. T. Friberg, H. Lajunen, and V. Torres-Company, "Spectral elementary-coherence-function representation for partially coherent light pulses," Opt. Express 15, 5160-5165 (2007). http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-8-5160 [CrossRef] [PubMed]
  9. V. Torres-Company, G. Minguez-Vega, J. Lancis, and A. T. Friberg, "Controllable generation of partially coherent light pulses with direct space-to-time pulse shaper," Opt. Lett. 32, 1608-1010 (2007). [CrossRef] [PubMed]
  10. A. T. Friberg and R. J. Sudol, "The spatial coherence properties of gaussian Schell-model beams," Opt. Acta 30, 1075-1097 (1983). [CrossRef]
  11. S. A. Collins, "Lens-system diffraction integral written in terms of matrix optics," J. Opt. Soc. Am. 60, 1168- 1177 (1970). [CrossRef]
  12. J. Turunen, P. Pääkkönen, M. Kuittinen, P. Laakkonen, J. Simonen, T. Kajava, and M. Kaivola, "Diffractive shaping of excimer laser beams," J. Mod. Opt. 47, 2467-2475 (2000).

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited