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Wigner distribution function matrix of electromagnetic beams propagating through uniaxial crystals orthogonal to the optical axis

  • Optical Phenomena and Photonics
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Abstract

The Wigner distribution function matrix of electromagnetic beams propagating in uniaxial crystals is introduced, and its analytical propagation expressions through uniaxial crystals orthogonal to the optical axis are derived. The application of the Wigner distribution function matrix of the electromagnetic beams propagating through uniaxial crystals orthogonal to the optical axis is illustrated with the stochastic electromagnetic beams.

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References

  1. M.J. Bastiaans, J. Opt. Soc. Am. 69, 1710 (1979)

    Article  ADS  Google Scholar 

  2. D. Dragoman, J. Opt. Soc. Am. A 11, 2643 (1994)

    Article  ADS  Google Scholar 

  3. D. Dragoman, Appl. Opt. 34, 3352 (1995)

    Article  ADS  Google Scholar 

  4. K. Duan, B. Lü, J. Opt. Soc. Am. B 22, 1585 (2005)

    Article  ADS  Google Scholar 

  5. M.J. Bastiaans, P.G.J. van de Mortel, J. Opt. Soc. Am. A 13, 1698 (1996)

    Article  ADS  Google Scholar 

  6. D. Sun, D. Zhao, J. Opt. Soc. Am. A 22, 1683 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  7. W. Pan, Appl. Opt. 47, 45 (2008)

    Article  ADS  Google Scholar 

  8. J. Cheng, J. Zhou, J. Opt. A: Pure Appl. Opt. 4, 66 (2002)

    Article  ADS  Google Scholar 

  9. B. Li, B. Lü, J. Opt. A: Pure Appl. Opt. 5, 303 (2003)

    Article  ADS  Google Scholar 

  10. B. Lü, B. Li, J. Opt. A: Pure Appl. Opt. 4, 509 (2002)

    Article  ADS  Google Scholar 

  11. D. Dragoman, Appl. Opt. 35, 4142 (1996)

    Article  ADS  Google Scholar 

  12. H.T. Yura, L. Thrane, P.E. Andersen, J. Opt. Soc. Am. A 17, 2464 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  13. G. Cincotti, A. Ciattoni, C. Palma, J. Opt. Soc. Am. A 19, 1680 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  14. A. Ciattoni, G. Cincotti, C. Palma, J. Opt. Soc. Am. A 19, 792 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  15. A. Ciattoni, C. Palma, J. Opt. Soc. Am. A 20, 2163 (2003)

    Article  ADS  Google Scholar 

  16. A. Ciattoni, C. Palma, Opt. Commun. 224, 175 (2003)

    Article  ADS  Google Scholar 

  17. A. Ciattoni, C. Palma, Opt. Commun. 231, 79 (2004)

    Article  ADS  Google Scholar 

  18. D. Liu, Z. Zhou, J. Opt. A: Pure Appl. Opt. 10, 095005 (2008)

    Article  ADS  Google Scholar 

  19. D. Liu, Z. Zhou, Opt. Laser Technol. 41, 877 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  20. D. Liu, Z. Zhou, J. Opt. Soc. Am. A 26, 924 (2009)

    Article  ADS  Google Scholar 

  21. D. Liu, Z. Zhou, J. Opt. A: Pure Appl. Opt. 11, 065710 (2009)

    Article  ADS  Google Scholar 

  22. F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Guattari, Pure Appl. Opt. 7, 941 (1998)

    Article  ADS  Google Scholar 

  23. F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, R. Simon, J. Opt. A: Pure Appl. Opt. 3, 1 (2001)

    Article  ADS  Google Scholar 

  24. Y. Cai, D. Ge, Q. Lin, J. Opt. A: Pure Appl. Opt. 5, 453 (2003)

    Article  ADS  Google Scholar 

  25. M. Yao, Y. Cai, H.T. Eyyuboglu, Y. Baykal, O. Korotkova, Opt. Lett. 19, 2266 (2008)

    Article  ADS  Google Scholar 

  26. Y. Cai, O. Korotkova, H.T. Eyyuboglu, Y. Baykal, Opt. Express 16, 15834 (2008)

    Article  ADS  Google Scholar 

  27. O. Korotkova, J. Opt. A: Pure Appl. Opt. 10, 025003 (2008)

    Article  ADS  Google Scholar 

  28. Y. Zhu, D. Zhao, J. Opt. Soc. Am. A 25, 1944 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  29. X. Du, D. Zhao, Opt. Express 17, 4257 (2009)

    Article  ADS  Google Scholar 

  30. D. Zhao, Y. Zhu, Opt. Lett. 34, 884 (2009)

    Article  ADS  Google Scholar 

  31. E. Wolf, Phys. Lett. A 312, 263 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  32. O. Korotkova, Opt. Commun. 216, 218 (2006)

    Article  ADS  Google Scholar 

  33. Y. Zhu, D. Zhao, J. Opt. Soc. Am. A 25, 1944 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  34. D. Liu, Z. Zhou, Eur. Phys. J. D 54, 95 (2009)

    Article  ADS  Google Scholar 

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Correspondence to D. J. Liu.

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Liu, D., Zhou, Z. Wigner distribution function matrix of electromagnetic beams propagating through uniaxial crystals orthogonal to the optical axis. Eur. Phys. J. D 58, 333–338 (2010). https://doi.org/10.1140/epjd/e2010-00101-1

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  • DOI: https://doi.org/10.1140/epjd/e2010-00101-1

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