OSA's Digital Library

Journal of the Optical Society of Korea

Journal of the Optical Society of Korea


  • Vol. 10, Iss. 4 — Dec. 25, 2006
  • pp: 162–168

Variation of Global Coherence on Propagation in Coherent Mode Representation

Ki-Sik Kim and Dae-Yoon Park  »View Author Affiliations

Journal of the Optical Society of Korea, Vol. 10, Issue 4, pp. 162-168 (2006)

View Full Text Article

Acrobat PDF (505 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

  • Export Citation/Save Click for help


The variation of global coherence on propagation plane by plane is examined in the framework of coherent mode representation. It is explained through concrete examples that the global coherence may in general be enhanced, may be reduced, or may not change. When the mode functions form a complete set and the corresponding eigenvalues are in nitely degenerate, there necessarily develops a certain amount of global coherence on propagation, which is the essence of van Cittert-Zernike theorem. The propagation generates a certain pattern of the eigenvalue spectrum from the initial flat one and this is shown to be related to the non-unitarity of the propagation kernel.

© 2006 Optical Society of Korea

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.1640) Coherence and statistical optics : Coherence
(030.6600) Coherence and statistical optics : Statistical optics
(260.0260) Physical optics : Physical optics

Original Manuscript: December 7, 2006
Revised Manuscript: December 14, 2006
Published: December 25, 2006

Ki-Sik Kim and Dae-Yoon Park, "Variation of Global Coherence on Propagation in Coherent Mode Representation," J. Opt. Soc. Korea 10, 162-168 (2006)

Sort:  Year  |  Journal  |  Reset


  1. E. Wolf, J. Opt. Soc. Am., vol. 72, 343 (1982); vol. A3, 76 (1986) [CrossRef]
  2. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995), Sec. 4.3
  3. K. Kim, D. Y. Park, and J. G. Kim, J. Kor. Phys. Soc., vol. 35, 186 (1999)
  4. A. Starikov and E. Wolf, J. Opt. Soc., Am. vol. 72, 923 (1982) [CrossRef]
  5. J. T. Foley, K. Kim, and H. M. Nussenzveig, J. Opt Soc. Am. A, vol. 5, 1694 (1988) [CrossRef]
  6. P. H. van Cittert, Physica, vol. 1, 201 (1934) [CrossRef]
  7. F. Zernike, Physica, vol. 5, 785 (1938) [CrossRef]
  8. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge, Cambridge University Press, 1999), Sec. 10.4.2
  9. F. Smithies, Integral Equations (Cambridge University Press, Cambridge, 1970); F. Riecz and B. Sz.-Nagy, Functional Analysis (Ungar, New York, 1955)
  10. H. Gamo, J. Phys. Soc. Jpn., vol. 19, 580 (1964)
  11. E. Wolf, J. Opt. Soc. Am. A, vol. 3, 1920 (1986) [CrossRef]

Cited By

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