OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 11 — Jun. 3, 2013
  • pp: 13032–13039

Coherence theory of a laser beam passing through a moving diffuser

Gaoming Li, Yishen Qiu, and Hui Li  »View Author Affiliations

Optics Express, Vol. 21, Issue 11, pp. 13032-13039 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (2148 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Abstract: We present the general coherence theory for laser beams passing through a moving diffuser. The temporal coherence of laser beams passing through a moving diffuser depends on two characteristic temporal scales: the laser coherence time and the mean time it takes the diffuser to move past a phase correlation area. In most applications, the former is much shorter than the latter. Our theoretical analysis shows the spatial coherence area of light scattered from a moving diffuser decreases while the coherence time remains unchanged. The conclusion has been confirmed by experiments using a Michelson interferometer and it is not in accordance with the original coherence theory in which both the temporal and spatial coherence of light scattered by a moving diffuser decrease. We also developed a method based on the theory of eigenvalues to calculate the speckle contrast on a screen illuminated by light transmitted through a moving diffuser.

© 2013 OSA

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(030.6140) Coherence and statistical optics : Speckle
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Coherence and Statistical Optics

Original Manuscript: March 27, 2013
Revised Manuscript: May 7, 2013
Manuscript Accepted: May 14, 2013
Published: May 20, 2013

Gaoming Li, Yishen Qiu, and Hui Li, "Coherence theory of a laser beam passing through a moving diffuser," Opt. Express 21, 13032-13039 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. I. Trisnadi, “Hadamard speckle contrast reduction,” Opt. Lett.29(1), 11–13 (2004). [CrossRef] [PubMed]
  2. L. L. Wang, T. Tschudi, T. Halldórsson, and P. R. Pétursson, “Speckle reduction in laser projection systems by diffractive optical elements,” Appl. Opt.37(10), 1770–1775 (1998). [CrossRef] [PubMed]
  3. S. V. Govorkov and L. A. Spinelli, “Speckle reduction in laser illuminated projection displays having a one dimensional spatial light modulator, ” U.S. Patent, 7,413,311 (Aug.19,2008).
  4. S. C. Shin, S. S. Yoo, S. Y. Lee, C.-Y. Park, S.-Y. Park, J. W. Kwon, and S.-G. Lee, “Removal of Hot Spot Speckle on Rear Projection Screen Using the Rotating Screen System,” J. Display Technol.2(1), 79–84 (2006). [CrossRef]
  5. Y.-H. Park, K.-H. Ha, J.-O. Kim, and Y.-K. Mun, “Speckle reduction laser and laser display apparatus having the same, ” U.S. patent, 7,489,714(Feb.10, 2009).
  6. S. Lowenthal and D. J. H. Arsenault, “Relation entre le deplacement fini d’un diffuseur mobile, eclaire par un laser, et le rapport signal sur bruit dans l’eclaisremenst observe distance finie oudans ou dans un plan image,” Opt. Commun.2(4), 184–188 (1970). [CrossRef]
  7. S. Lowenthal and E. Joyeu, “Speckle removal by a slowly moving diffuser associated with a motionless Diffuser,” J. Opt. Soc. Am.61(7), 847–851 (1971). [CrossRef]
  8. J. W. Goodman, “Speckle Phenonmena in optics: theory and applications,” (Roberts & Company, Englewood, 2007).
  9. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge: Cambridge, 1995).

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