OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 24 — Dec. 2, 2013
  • pp: 29731–29743

Effects of source spatial partial coherence on temporal fade statistics of irradiance flux in free-space optical links through atmospheric turbulence

Chunyi Chen, Huamin Yang, Zhou Zhou, Weizhi Zhang, Mohsen Kavehrad, Shoufeng Tong, and Tianshu Wang  »View Author Affiliations

Optics Express, Vol. 21, Issue 24, pp. 29731-29743 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (925 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The temporal covariance function of irradiance-flux fluctua-tions for Gaussian Schell-model (GSM) beams propagating in atmospheric turbulence is theoretically formulated by making use of the method of effective beam parameters. Based on this formulation, new expressions for the root-mean-square (RMS) bandwidth of the irradiance-flux temporal spectrum due to GSM beams passing through atmospheric turbulence are derived. With the help of these expressions, the temporal fade statistics of the irradiance flux in free-space optical (FSO) communication systems, using spatially partially coherent sources, impaired by atmospheric turbulence are further calculated. Results show that with a given receiver aperture size, the use of a spatially partially coherent source can reduce both the fractional fade time and average fade duration of the received light signal; however, when atmospheric turbulence grows strong, the reduction in the fractional fade time becomes insignificant for both large and small receiver apertures and in the average fade duration turns inconsiderable for small receiver apertures. It is also illustrated that if the receiver aperture size is fixed, changing the transverse correlation length of the source from a larger value to a smaller one can reduce the average fade frequency of the received light signal only when a threshold parameter in decibels greater than the critical threshold level is specified.

© 2013 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(060.2605) Fiber optics and optical communications : Free-space optical communication

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: August 7, 2013
Revised Manuscript: October 13, 2013
Manuscript Accepted: November 2, 2013
Published: November 25, 2013

Chunyi Chen, Huamin Yang, Zhou Zhou, Weizhi Zhang, Mohsen Kavehrad, Shoufeng Tong, and Tianshu Wang, "Effects of source spatial partial coherence on temporal fade statistics of irradiance flux in free-space optical links through atmospheric turbulence," Opt. Express 21, 29731-29743 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. O. Korotkova, L. C. Andrews, and R. L. Phillips, “Model for a partially coherent Gaussian beam in atmospheric turbulence with application in Lasercom,” Opt. Eng.43, 330–341 (2004). [CrossRef]
  2. K. Drexler, M. Roggemann, and D. Voelz, “Use of a partially coherent transmitter beam to improve the statistics of received power in a free-space optical communication system: theory and experimental results,” Opt. Eng.50,025002 (2011). [CrossRef]
  3. G. Gbur and E. Wolf, “Spreading of partially coherent beams in random media,” J. Opt. Soc. Am. A19, 1592–1598 (2002). [CrossRef]
  4. C. Chen, H. Yang, X. Feng, and H. Wang, “Optimization criterion for initial coherence degree of lasers in free-space optical links through atmospheric turbulence,” Opt. Lett.34, 419–421 (2009). [CrossRef] [PubMed]
  5. D. K. Borah and D. G. Voelz, “Spatially partially coherent beam parameter optimization for free space optical communications,” Opt. Express18, 20746–20758 (2010). [CrossRef] [PubMed]
  6. I. E. Lee, Z. Ghassemlooy, W. P. Ng, and M. Khalighi, “Joint optimization of a partially coherent Gaussian beam for free-space optical communication over turbulent channels with pointing errors,” Opt. Lett.38, 350–352 (2013). [CrossRef] [PubMed]
  7. K. Kiasaleh, “Performance analysis of free-space, on-off-keying optical communication systems impaired by turbulence,” Proc. SPIE4635, 150–161 (2002). [CrossRef]
  8. H. T. Eyyuboğlu, Y. Baykal, and Y. Cai, “Scintillation calculations for partially coherent general beams via extended Huygens-Fresnel integral and self-designed Matlab function,” Appl. Phys. B100, 597–609 (2010). [CrossRef]
  9. Y. Dan and B. Zhang, “Second moments of partially coherent beams in atmospheric turbulence,” Opt. Lett.34, 563–565 (2009). [CrossRef] [PubMed]
  10. L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005). [CrossRef]
  11. H. T. Yura and W. G. McKinley, “Optical scintillation statistics for IR ground-to-space laser communication systems,” Appl. Opt.22, 3353–3358 (1983). [CrossRef] [PubMed]
  12. J. F. Holmes, M. H. Lee, and J. R. Kerr, “Effect of the log-amplitude covariance function on the statistics of speckle propagation through the turbulent atmosphere,” J. Opt. Soc. Am.70, 355–360 (1980). [CrossRef]
  13. X. Xiao and D. Voelz, “On-axis probability density function and fade behavior of partially coherent beams propagating through turbulence,” Appl. Opt.48, 167–175 (2009). [CrossRef] [PubMed]
  14. O. Korotkova, L. C. Andrews, and R. L. Phillips, “The effect of partially coherent quasi-monochromatic Gaussian-beam on the probability of fade,”Proc. SPIE5160, 68–77 (2004). [CrossRef]
  15. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995). [CrossRef]
  16. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001). [CrossRef]
  17. H. Flanders, “Differentiation under the integral sign,” Am. Math. Mon.80, 615–627 (1973). [CrossRef]
  18. M. Silberstein, “Application of a generalized Leibniz rule for calculating electromagnetic fields within continuous source regions,” Radio Sci.26, 183–190 (1991). [CrossRef]
  19. R. J. Sasiela, Electromagnetic Wave Propagation in Turbulence: Evaluation and Application of Mellin Transforms, (SPIE, 2007). [CrossRef]
  20. H. Hemmati, Near-Earth Laser Communications (Taylor & Francis Group, 2008).
  21. F. S. Vetelino, C. Young, and L. Andrews, “Fade statistics and aperture averaging for Gaussian beam waves in moderate-to-strong turbulence,” Appl. Opt.46, 3780–3789 (2007). [CrossRef] [PubMed]
  22. J. C. Ricklin and F. M. Davidson, “Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication,” J. Opt. Soc. Am. A19, 1794–1802 (2002). [CrossRef]

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