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Evolution properties of four-petal Gaussian vortex beam propagating in uniaxial crystals orthogonal to the optical axis

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Abstract

The analytical propagation formulae of the four-petal Gaussian vortex beam propagating in uniaxial crystals orthogonal to the optical axis are derived, and some analyses are illustrated by numerical examples related to the evolution properties (intensity and phase) of four-petal Gaussian vortex beams in detail. The influences of beam order N, topological charge M and the ratio of refractive index n e /n o on the normalized intensity distribution and phase distribution are discussed.

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References

  1. M. Born, E. Wolf, Principle of Optics (Pergamon, 1999)

  2. J. Stamnes, G. Sherman, J. Opt. Soc. Am. 66, 780 (1976)

    Article  ADS  MathSciNet  Google Scholar 

  3. A. Ciattoni, B. Crosignani, P. Di Porto, J. Opt. Soc. Am. A 18, 1656 (2001)

    Article  ADS  Google Scholar 

  4. A. Ciattoni, G. Cincotti, C. Palma, Opt. Commun. 195, 55 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  6. G. Cincotti, A. Ciattoni, C. Palma, IEEE J. Quantum Electron. 37, 1517 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. D. Deng, H. Yu, S. Xu, J. Shao, Z. Fan, Opt. Commun. 281, 202 (2008)

    Article  ADS  Google Scholar 

  9. B. Lü, S. Luo, Opt. Laser Technol. 36, 51 (2004)

    Article  ADS  Google Scholar 

  10. D. Deng, J. Shen, Y. Tian, J. Shao, Z. Fan, Optik 118, 547 (2007)

    Article  ADS  Google Scholar 

  11. D. Liu, Z. Zhou, J. Opt. A 10, 095005 (2008)

    Article  ADS  Google Scholar 

  12. D. Liu, Zhongxiang Zhou, J. Opt. Soc. Am. A 26, 924 (2009)

    Article  ADS  Google Scholar 

  13. Dajun Liu, Zhongxiang Zhou, Eur. Phys. J. D 54, 95 (2009)

    Article  ADS  Google Scholar 

  14. Dajun Liu, Zhongxiang Zhou, Opt. Lasers Eng. 48, 58 (2010)

    Article  Google Scholar 

  15. J. Li, Y. Chen, Y. Xin, S. Xu, Eur. Phys. J. D 57, 419 (2010)

    Article  ADS  Google Scholar 

  16. D. Liu, Z. Zhou, Eur. Phys. J. D 58, 333 (2010)

    Article  ADS  Google Scholar 

  17. Z. Zhu, L. Liu, F. Wang, Y. Cai, J. Opt. Soc. Am. A 32, 374 (2015)

    Article  ADS  Google Scholar 

  18. K. Duan, B. Lü, Opt. Commun. 261, 327 (2006)

    Article  ADS  Google Scholar 

  19. Z. Gao, B. Lü, Chinese Phys. Lett. 23, 2070 (2006)

    Article  ADS  Google Scholar 

  20. G. Zhou, Y. Fan, Chin. Phys. B 17, 3708 (2008)

    Article  ADS  Google Scholar 

  21. X. Long, K. Lu, Y. Zhang, J. Guo, K. Li, Opt. Commun. 283, 4586 (2010)

    Article  ADS  Google Scholar 

  22. J. Li, Y. Chen, Y. Xin, M. Zhou, S. Xu, Opt. Commun. 283, 3105 (2010)

    Article  ADS  Google Scholar 

  23. L. Guo, Z. Tang, W. Wan, Optik 125 5542 (2014)

    Article  ADS  Google Scholar 

Download references

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Correspondence to Dajun Liu or Yaochuan Wang.

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Liu, D., Wang, H., Wang, Y. et al. Evolution properties of four-petal Gaussian vortex beam propagating in uniaxial crystals orthogonal to the optical axis. Eur. Phys. J. D 69, 218 (2015). https://doi.org/10.1140/epjd/e2015-60322-2

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  • DOI: https://doi.org/10.1140/epjd/e2015-60322-2

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