OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 33, Iss. 2 — Jan. 15, 2008
  • pp: 104–106

First- and second-order statistics of partially coherent, high-numerical-aperture optical fields

Christer Rydberg  »View Author Affiliations

Optics Letters, Vol. 33, Issue 2, pp. 104-106 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (216 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The intensity probability distribution as well as the cross-spectral density of partially coherent optical fields generated through high-numerical-aperture illuminations are analyzed, and novel effects, not apparent in paraxial optical fields, are described. It is shown that the intensity probability distribution significantly differs from what can be expected from a small-angle analysis, and the number of degrees of freedom for the distribution is higher. It is further shown that the cross-spectral density of a high-angle optical field is a function of the coordinate difference along the propagation direction of the field.

© 2008 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.6600) Coherence and statistical optics : Statistical optics

ToC Category:
Coherence and Statistical Optics

Original Manuscript: October 18, 2007
Revised Manuscript: November 29, 2007
Manuscript Accepted: November 29, 2007
Published: January 4, 2008

Christer Rydberg, "First- and second-order statistics of partially coherent, high-numerical-aperture optical fields," Opt. Lett. 33, 104-106 (2008)

Sort:  Year  |  Journal  |  Reset  


  1. J. H. Bruning, Proc. SPIE 6520, 652004 (2007). [CrossRef]
  2. N. Lindlein, S. Quabis, U. Peschel, and G. Leuchs, Opt. Express 15, 5827 (2007). [CrossRef] [PubMed]
  3. T. Setälä, A. Shevchenko, M. Kaivola, and A. T. Friberg, Phys. Rev. E 66, 016615 (2002). [CrossRef]
  4. J. Ellis, A. Dogariu, S. Ponomarenko, and E. Wolf, Opt. Commun. 248, 333 (2005). [CrossRef]
  5. K. Lindfors, T. Setälä, M. Kaivola, and A. T. Friberg, J. Opt. Soc. Am. A 22, 561 (2005). [CrossRef]
  6. J. W. Goodman, Statistical Optics (Wiley, 2000).
  7. P. E. Dyer, C. D. Walton, and K. A. Akeel, Opt. Lett. 30, 1336 (2005). [CrossRef] [PubMed]
  8. C. Rydberg, J. Bengtsson, and T. Sandström, J. Microlithography, Microfabrication and Microsystems 5, 33004-1 (2006).
  9. J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts and Company, 2006).

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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited