volume | PIER Journals

Abstract

On the basis of the extended Huygens-Fresnel principle, the cross-spectral density matrix (CSDM) of partially coherent Gaussian Schell-model (GSM) beams in the slant atmospheric turbulence is derived. Given that the light emitted from a transmitter is elliptically polarized light, the degree of polarization (DoP) of the partially coherent GSM beams is represented by Stokes parameters expressed by the elements of the CSDM. The expressions of the orientation angle, polarized light intensity in the major axis are derived and the numerical results are presented. Depolarization theory is studied using a Mueller matrix and the depolarization index (DI) is obtained to describe the depolarized state of the partially coherent GSM beams propagating in the slant atmospheric turbulence. Results show that the DOP and DI of the beam tend to their initial value in the long-range propagation.

1. Zhang, Y. X., M. X. Tang, and C. K. Tao, "Partially coherent vortex beams propagation in a turbulent atmosphere," Chin. Opt. Lett., Vol. 3, 559-561, 2005. Google Scholar

2. Li, J. H., H. R. Zhang, and B. D. Lu, "Partially coherent vortex beams propagating through atmospheric turbulence and coherence vortex evolution," Optics & Laser Technology, Vol. 42, 428-433, 2010. Google Scholar

3. Ngo Nyobe, E. and E. Pemha, "Propagation of a laser beam through a plane and free turbulent heated air flow: Determination of the stochastic characteristics of the laser beam random direction and some experimental results ," Progress In Electromagnetics Research, Vol. 53, 31-53, 2005. Google Scholar

4. Wang, F., Y. Cai, H. T. Eyyuboglu, and Y. K. Baykal, "Average intensity and spreading of partially coherent standard and elegant Laguerre-Gaussian beams in turbulent atmosphere," Progress In Electromagnetics Research, Vol. 103, 33-56, 2010. Google Scholar

5. Li, J., Y. Chen, S. Xu, Y. Wang, M. Zhou, Q. Zhao, Y. Xin, and F. Chen, "Average intensity and spreading of partially coherent four-petal Gaussian beams in turbulent atmosphere ," Progress In Electromagnetics B, Vol. 24, 241-261, 2010. Google Scholar

6. Wei, H. Y. and Z. S. Wu, "Study on the effect of laser beam propagation on the slant path through atmospheric turbulence," Joural of Electromagnetic Waves and Applications, Vol. 22, No. 5-6, 787-802, 2008. Google Scholar

7. Wei, H.-Y., Z.-S.Wu, and . Ma, "Log-amplitude variance of laser beam propagation the slant path through turbulent atmosphere," Progress In Elenctromagnetics Research, Vol. 108, 277-291, 2010. Google Scholar

8. Wu, Z.-S., H.-Y. Wei, R.-K. Yang, and L.-X. Guo, "Study on scintillation considering inner- and outer-scales for laser beam propagation on the slant path through the atmospheric turbulence," Progress In Electromagnetics Research, Vol. 80, 277-293, 2008. Google Scholar

9. Wu, Z.-S. and Y.-Q. Li, "Scattering of a partially coherent Gaussian-Schell beam from a diffuse target in slant atmospheric turbulence," J. Opt. Soc. Am. A, Vol. 25, 2011. Google Scholar

10. Shyu, J.-J., C.-H. Chan, M.-W. Hsiung, P.-N. Yang, H.-W. Chen, and W.-C. Kuo, "Diagnosis of articular cartilage damage by polarization sensitive optical coherence tomography and the extracted optical properties ," Progress In Electromagnetics Research, Vol. 91, 365-376, 2009. Google Scholar

11. Zhu, B., Z. Wang, C. Huang, Y. Feng, J. Zhao, and T. Jing, "Polarization insensitive metamaterial absorber with wide incident angle," Progress In Electromagnetics Research, Vol. 101, 231-239, 2010. Google Scholar

12. Huang, L. and H. Chen, "Multi-band and polarization insensitive metamaterial absorber," Progress In Electromagnetics Research, Vol. 113, 103-110, 2011. Google Scholar

13. Korotkova, O. and E. Wolf, "Changes in the state of polarization of a random electromagnetic beam on propagation," J. Opt. Commun., Vol. 246, 35-43, 2005. Google Scholar

14. Wolf, E., "Uni¯ed theory of coherence and polarization of random electromagnetic beams," J. Phys. Lett., Vol. A312, 263-267, 2003. Google Scholar

15. Ghafary, B. and M. Alavinejad, "Changes in the state of polarization of partially coherent flat-topped beam in turbulent atmosphere for different source conditions," J. Appl. Phys. B, Vol. 102, 945-952, 2011. Google Scholar

16. Gori, F., M. Santarsiero, S. Vicalvi, R. Borghi, and G. Guattari, "Beam coherence polarization matrix," Pure Appl. Opt., Vol. 7, 941-951, 1998. Google Scholar

17. Gori, F., M. Santarsiero, G. Piquero, A. Mondello, and R. Simon, "Partially polarized Gaussian Schell-model beams," J. Opt. A: Pure Appl. Opt., Vol. 3, 1-9, 2001. Google Scholar

18. Cai, Y., D. Ge, and Q. Lin, "Fractional fourier transform for partially coherent and partially polarized Gaussian Schell-model beams," J. Opt. A: Pure Appl. Opt., Vol. 5, 453-459, 2003. Google Scholar

19. Korotkova, O., M. Salem, and E. Wolf, "The far zone behavior of the degree of polarization of electromagnetic beams propagating through atmospheric turbulence," J. Opt. Commun., Vol. 233, 225-230, 2004. Google Scholar

20. Salem, M., O. Korotkova, A. Dogariu, and E. Wolf, "Polarization changes in partially coherent electromagnetic beams propagating through turbulence atmosphere," Waves in Random Media, Vol. 14, 513-523, 2004. Google Scholar

21. Sihvola, A., "Metamaterials and depolarization factors," Progress In Electromagnetics Research, Vol. 51, 65-82, 2005. Google Scholar

22. Lin, G.-R., F.-S. Meng, and Y.-H. Lin, "Second-order scattering induced reflection divergence and nonlinear depolarization on randomly corrugated semiconductor nano-pillars," Progress In Electromagnetics Research, Vol. 117, 67-81, 2011. Google Scholar

23. Wang, X. and L.-W. Li, "Numerical characterization of bistatic scattering from PEC cylinder partially embedded in a dielectric rough surface interface: Horizontal polarization," Progress In Electromagnetics Research, Vol. 91, 35-51, 2009. Google Scholar

24. Hohn, D. H., "Depolarization of a Laser Beam at 6328 A due to Atmospheric Transmission," J. Appl. Opt., Vol. 8, 367-369, 1969. Google Scholar

25. Gil, J. J. and E. Bernabeu, "A depolarization criterion in Mueller matrices," Opt. Acta, Vol. 32, 259-261, 1985. Google Scholar

26. Gil, J. J. and E. Bernabeu, "Depolarization and polarization indices of an optical system," Opt. Acta, Vol. 33, 185-189, 1986. Google Scholar

27. Chipman, R. A., "Depolarization index and the average degree of polarization," J. Appl. Opt., Vol. 44, 2490-2495, 2005. Google Scholar

28. Zhu, S. and Y. Cai, "Degree of polarization of a twisted electromagnetic Gaussian Schell-model beam in a Gaussian cavity filled with gain media," Progress In Electromagnetics Research B, Vol. 21, 171-187, 2010. Google Scholar

29. Clifford, S. F. and H. T. Yura, "Equivalence of two theories of strong optical scintillation," J. Opt. Soc. Am., Vol. 64, 1641-1644, 1974. Google Scholar

30. Holmes, J. F., H. L. Myung, 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., Vol. 70, 355-360, 1979. Google Scholar

31. ITU-R. Document 3J/31-E, , On propagation data and prediction methods required for the design of space-to-earth and earth-to-space optical communication systems, Vol. 206, 277-293 Radio Communication Study Group Meeting, Budapest, 2001.

32. Zhao, X. H., Y. Yao, Y. X. Sun, and C. Liu, "Condition for Gaussian Schell-model beam to maintain the state of polarization on the propagation in free space ," J. Opt. Soc. Am., Vol. 17, 88-94, 2009. Google Scholar

Dr. Ya Qing Li

Prof. Zhen-Sen Wu

Dr. Li Guo Wang