OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 25 — Dec. 10, 2007
  • pp: 16909–16915

Changes in the statistical properties of stochastic anisotropic electromagnetic beams on propagation in the turbulent atmosphere

Xinyue Du, Daomu Zhao, and Olga Korotkova  »View Author Affiliations


Optics Express, Vol. 15, Issue 25, pp. 16909-16915 (2007)
http://dx.doi.org/10.1364/OE.15.016909


View Full Text Article

Enhanced HTML    Acrobat PDF (186 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We report analytic formulas for the elements of the 2×2 cross-spectral density matrix of a stochastic electromagnetic anisotropic beam propagating through the turbulent atmosphere with the help of vector integration. From these formulas the changes in the spectral density (spectrum), in the spectral degree of polarization, and in the spectral degree of coherence of such a beam on propagation are determined. As an example, these quantities are calculated for a so-called anisotropic electromagnetic Gaussian Schell-model beam propagating in the isotropic and homogeneous atmosphere. In particular, it is shown numerically that for a beam of this class, unlike for an isotropic electromagnetic Gaussian Schell-model beam, its spectral degree of polarization does not return to its value in the source plane after propagating at sufficiently large distances in the atmosphere. It is also shown that the spectral degree of coherence of such a beam tends to zero with increasing distance of propagation through the turbulent atmosphere, in agreement with results previously reported for isotropic beams.

© 2007 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(030.1640) Coherence and statistical optics : Coherence
(260.5430) Physical optics : Polarization

ToC Category:
Atmospheric and oceanic optics

History
Original Manuscript: September 5, 2007
Revised Manuscript: November 1, 2007
Manuscript Accepted: November 20, 2007
Published: December 4, 2007

Citation
Xinyue Du, Daomu Zhao, and Olga Korotkova, "Changes in the statistical properties of stochastic anisotropic electromagnetic beams on propagation in the turbulent atmosphere," Opt. Express 15, 16909-16915 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-25-16909


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. S. Belenkii, A. I. Kon, and V. L. Mironov, "Turbulent distortions of the spatial coherence of a laser beam," Sov. J. Quantum Electron. 7, 287-290 (1977). [CrossRef]
  2. S. C. H. Wang and M. A. Plonus, "Optical beam propagation for a partially coherent source in the turbulent atmosphere," J. Opt. Soc. Am. 69, 1297-1304 (1979). [CrossRef]
  3. Y. Baykal, M. A. Plonus, and S. J. Wang, "The scintillations for weak atmospheric turbulence using a partially coherent source beam," Radio Sci. 18, 551-556 (1983). [CrossRef]
  4. J. Wu, "Propagation of a Gaussian-Schell beam through turbulent media," J. Mod. Opt. 37, 671-684 (1990). [CrossRef]
  5. J. Wu and A. D. Boardman, "Coherence length of a Gaussian-Schell beam and atmospheric turbulence," J. Mod. Opt. 38, 1355-1363 (1991). [CrossRef]
  6. 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. A 19, 1794-1802 (2002). [CrossRef]
  7. G. Gbur and E. Wolf, "Spreading of partially coherent beams in random media," J. Opt. Soc. Am. A 19, 1592-1598 (2002). [CrossRef]
  8. T. Shirai, A. Dogariu, and E. Wolf, "Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence," J. Opt. Soc. Am. A 20, 1094-1102 (2003). [CrossRef]
  9. G. P. Berman and A. A. Chumak, "Photon distribution function for long-distance propagation of partially coherent beams through the turbulent atmosphere," Phys. Rev. A 74, 013805 (2006). [CrossRef]
  10. E. Wolf, "Unified theory of coherence and polarization of random electromagnetic beams," Phys. Lett. A 312, 263-267 (2003). [CrossRef]
  11. E. Wolf, "Correlation-induced changes in the degree of polarization, the degree of coherence, and the spectrum of random electromagnetic beams on propagation," Opt. Lett. 28, 1078-1080 (2003). [CrossRef] [PubMed]
  12. H. Roychowdhury and E. Wolf, "Determination of the electric cross-spectral density matrix of a random electromagnetic beam," Opt. Commun. 226, 57-60 (2003). [CrossRef]
  13. H. Roychowdhury, S. A. Ponomarenko, and E. Wolf, "Change in the polarization of partially coherent electromagnetic beams propagating through the turbulent atmosphere," J. Mod. Opt. 52, 1611-1618 (2005). [CrossRef]
  14. O. Korotkova, M. Salem, and E. Wolf, "The far-zone behavior of the degree of polarization of electromagnetic beams propagating through atmospheric turbulence," Opt. Commun. 233, 225-230 (2004). [CrossRef]
  15. X. Ji, E. Zhang, and B. Lü, "Changes in the spectrum and polarization of polychromatic partially coherent electromagnetic beams in the turbulent atmosphere," Opt. Commun. 275, 292-300 (2007). [CrossRef]
  16. M. Salem, O. Korotkova, A. Dogariu, and E. Wolf, "Polarization changes in partially coherent EM beams propagating through turbulent atmosphere," Waves in Random Media 14, 513-523 (2004). [CrossRef]
  17. O. Korotkova, M. Salem, A. Dogariu, and E. Wolf, "Changes in the polarization ellipse of random electromagnetic beams propagating through turbulent atmosphere," Waves in Random and Complex Media 15, 353-364 (2005). [CrossRef]
  18. H. T. Eyyuboglu, Y. Baykal, and Y. Cai, "Complex degree of coherence for partially coherent general beams in atmospheric turbulence," J. Opt. Soc. Am. A 24, 2891-2901 (2007). [CrossRef]
  19. H. T. Eyyuboglu, Y. Baykal, and Y. Cai, "Degree of polarization for partially coherent general beams in turbulent atmosphere," Appl. Phys. B 89, 91-97 (2007). [CrossRef]
  20. H. Wang, X. Wang, A. Zeng, and K. Yang, "Effects of coherence on anisotropic electromagnetic Gaussian-Schell model beams on propagation," Opt. Lett. 32, 2215-2217 (2007). [CrossRef] [PubMed]
  21. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
  22. L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media (SPIE Press, Bellingham, Wash., 1998).
  23. H. T. Yura, "Mutual coherence function of a finite cross section optical beam propagating in a turbulent medium," Appl. Opt. 11, 1399-1406 (1972). [CrossRef] [PubMed]
  24. Y. Cai and S. He, "Propagation of a partially coherent twisted anisotropic Gaussian Schell-model beam in a turbulent atmosphere," Appl. Phys. Lett. 89, 041117 (2006). [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.

Figures

Fig. 1. Fig. 2. Fig. 3.
 
Fig. 4.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited