OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 34, Iss. 9 — May. 1, 2009
  • pp: 1399–1401

Genuine cross-spectral densities and pseudo-modal expansions

R. Martínez-Herrero, P. M. Mejías, and F. Gori  »View Author Affiliations


Optics Letters, Vol. 34, Issue 9, pp. 1399-1401 (2009)
http://dx.doi.org/10.1364/OL.34.001399


View Full Text Article

Enhanced HTML    Acrobat PDF (73 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A necessary and sufficient non-negative definiteness condition for the cross-spectral density (CSD) is provided. It is also shown that any genuine CSD can be expanded in terms of the so-called pseudo-modes of the source, understood as coherent contributions, not orthogonal to one another, that, superposed in an uncorrelated way, give rise to the CSD. Their evaluation is analyzed by means of an illustrative example.

© 2009 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(260.5430) Physical optics : Polarization

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: February 10, 2009
Manuscript Accepted: March 31, 2009
Published: April 24, 2009

Citation
R. Martínez-Herrero, P. M. Mejías, and F. Gori, "Genuine cross-spectral densities and pseudo-modal expansions," Opt. Lett. 34, 1399-1401 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-9-1399


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1995).
  2. H. Roychowdhury and O. Korotkova, Opt. Commun. 249, 379 (2005).
  3. F. Gori and M. Santarsiero, Opt. Lett. 32, 3531 (2007). [PubMed]
  4. E. Wolf, J. Opt. Soc. Am. 72, 343 (1982).
  5. F. Gori, Opt. Commun. 34, 301 (1980).
  6. A. Starikov and E. Wolf, J. Opt. Soc. Am. 72, 923 (1982).
  7. F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
  8. S. A. Ponomarenko, J. Opt. Soc. Am. A 18, 150 (2001).
  9. F. Gori, M. Santarsiero, R. Borghi, and C. F. Li, J. Opt. Soc. Am. A 25, 2826 (2008).
  10. F. Gori and C. Palma, Opt. Commun. 27, 185 (1978).
  11. F. Gori, Opt. Acta 27, 1025 (1980).
  12. P. Vahimaa and J. Turunen, Opt. Express 14, 1376 (2006). [PubMed]
  13. J. Turunen and P. Vahimaa, Opt. Express 16, 6433 (2008). [PubMed]
  14. F. G. Tricomi, Integral Equations (Interscience Publishers, 1957).
  15. R. Martínez-Herrero, Nuovo Cimento 54, 205 (1979).
  16. R. Martínez-Herrero and P. M. Mejías, J. Opt. Soc. Am. A 1, 556 (1984).
  17. A. Berlinet and C. Thomas-Agnan, Reproducing Kernel Hilbert Spaces in Probability and Statistics (Kluwer Academic, 2004).

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