Skip to main content

Bessel-Gaussian beam phase fluctuations in randomly inhomogeneous media

Atmospheric and Oceanic Optics volume 23, pages 236–240 (2010)Cite this article

Abstract

Bessel-Gaussian beam phase fluctuations in randomly inhomogeneous media are studied. The results of calculations by the method of smooth perturbations of the variance of phase fluctuations of the above type of beams in the turbulent atmosphere are presented. The effect of the relative weakening of Bessel-Gaussian beam phase fluctuations in comparison with the case of a plane wave is revealed. A weak dependence of the phase fluctuation variance on the parameters of the Gaussian beam factor is observed. Gaussian beam phase fluctuations are spatially inhomogeneous: the ratio of the variances of the beam phase fluctuations at an out-of-optical-axis point to those at its optical axis is minimum in the Bessel beam maxima and maximum in the minima.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

Price includes VAT (USA)
Tax calculation will be finalised during checkout.

References

  1. S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Introduction to Statistical Radiophysics, Pt. 2. Random Fields (Nauka, Moscow, 1978) [in Russian].

    Google Scholar 

  2. L. A. Chernov, Wave Propagation in a Random Medium (McGraw-Hill, New York, 1960; Nauka, Moscow, 1975).

    Google Scholar 

  3. V. I. Tatarskii, Wave Propagation in a Turbulent Medium (McGraw-Hill New York, 1961; Nauka, Moscow, 1967).

    Google Scholar 

  4. A. S. Gurvich, A. I. Kon, V. L. Mironov, and S. S. Khmelevtsov, Laser Radiation in the Turbulent Atmosphere (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  5. M. S. Belen’kii, V. P. Lukin, V. L. Mironov, and V. V. Pokasov, Coherence of Laser Beams in the Atmosphere (Nauka, Novosibirsk, 1985) [in Russian].

    Google Scholar 

  6. I. P. Lukin, “Light-Wave Fluctuations in a Dispersive Medium,” Kvantov. Elektron. 6, 1756–1760 (1979) [Sov. J. Quantum. Electron. 6, 1033 (1979)].

    Google Scholar 

  7. I. P. Lukin, “Correlation of Fluctuations of Frequency-Separated Waves in a Scattering Medium,” Opt. Spektrosk. 51, 1083–1087 (1981) [Opt. Spectrosc. 51, 598 (1981)].

    Google Scholar 

  8. I. P. Lukin, “Optic Waves Fluctuations Reflected by Mirror Objects in Scattering Atmosphere,” Opt. Atmosf. 2, 21–27 (1989).

    Google Scholar 

  9. F. Gori, G. Guattari, and C. Padovani, “Bessel-Gauss Beams,” Opt. Commun. 64, 491–495 (1987).

    Article  ADS  Google Scholar 

  10. J. Li, H. Lee, and E. Wolf, “New Generalized Bessel-Gaussian Beams,” J. Opt. Soc. Am. A 21, 640–646 (2004).

    Article  ADS  Google Scholar 

  11. O. Manela, M. Segev, and D. N. Christodoulides, “Nondiffracting Beams in Periodic Media,” Opt. Lett. 30, 2611–2613 (2005).

    Article  ADS  Google Scholar 

  12. D. Ling, J. Li, and J. Chen, “Analysis of Eigenfields in the Axicon-Based Bessel-Gauss Resonator by the Transfer-Matrix Method,” J. Opt. Soc. Am. A 23, 912–918 (2006).

    Article  ADS  Google Scholar 

  13. D. Ling, Ch. Li, and J. Li, “Eigenfields and Output Beams of an Unstable Bessel-Gauss Resonator,” Appl. Opt. 45, 4102–4108 (2006).

    Article  ADS  Google Scholar 

  14. J. J. Miret and C. J. Zapata-Rodrigues, “Diffraction-Free Beams with Elliptic Bessel Envelope in Periodic Media,” J. Opt. Soc. Am. B 25, 1–6 (2008).

    Article  ADS  Google Scholar 

  15. H. T. Eyyuboglu, “Propagation of Higher Order Bessel-Gaussian Beams in Turbulence,” Appl. Phys. B 88, 259–265 (2007).

    Article  ADS  Google Scholar 

  16. H. T. Eyyuboglu and F. Hardala “Propagation of Modified Bessel-Gaussian Beams in Turbulence,” Opt. Laser Technol. 40, 343–351 (2008).

    Article  ADS  Google Scholar 

  17. H. T. Eyyuboglu, Y. Baykal, E. Sermutlu, and Y. Cai, “Scintillation Advantages of Lowest Order Bessel-Gaussian Beams,” Appl. Phys. B 92, 229–235 (2008).

    Article  ADS  Google Scholar 

  18. H. T. Eyyuboglu, E. Sermutlu, Y. Baykal, Y. Cai, and O. Korotkova, “Intensity Fluctuations in J-Bessel-Gaussian Beams of All Orders Propagating in Turbulent Atmosphere,” Appl. Phys. B 93, 605–611 (2008).

    Article  ADS  Google Scholar 

  19. Y. Zhang and T. Zhu, “Propagation of Helmholtz-Gauss Beams in Weak Turbulent Atmosphere,” Chin. Opt. Lett. 6, 79–82 (2008).

    Article  Google Scholar 

  20. B. Chen, Z. Chen, and J. Pu, “Propagation of Partially Coherent Bessel-Gaussian Beams in Turbulent Atmosphere,” Opt. Laser Technol. 40, 820–827 (2008).

    Article  ADS  Google Scholar 

  21. K. Zhu, G. Zhou, X. Li, X. Zheng, and H. Tang, “Propagation of Bessel-Gaussian Beams with Optical Vortices in Turbulent Atmosphere,” Opt. Express 16,21315–21320 (2008).

    Article  ADS  Google Scholar 

  22. Y. Baykal, H. T. Eyyuboglu, and Y. Cai, “Effect of Beam Type on the Scintillations: A Review,” Proc. SPIE 7200, 720002-1–15 (2009).

    Google Scholar 

  23. H. T. Eyyuboglu, Y. Baykal, E. Sermutlu, O. Korotkova, and Y. Cai, “Scintillation Index of Modified Bessel-Gaussian Beams Propagating in Turbulent Media,” J. Opt. Soc. Am. A 26, 387–394 (2009).

    Article  ADS  Google Scholar 

  24. B. Chen and J. Pu, “Propagation of Gauss-Bessel Beams in Turbulent Atmosphere,” Chin. Phys. B 18, 1033–1039 (2009).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Zuev Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences, pl. Akademika Zueva 1, Tomsk, 634021, Russia

    I. P. Lukin

Authors
  1. I. P. Lukin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © I.P. Lukin, 2010, published in Optica Atmosfery i Okeana.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Lukin, I.P. Bessel-Gaussian beam phase fluctuations in randomly inhomogeneous media. Atmos Ocean Opt 23, 236–240 (2010). https://doi.org/10.1134/S1024856010030139

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1024856010030139

Keywords

  • Gaussian Beam
  • Inhomogeneous Medium
  • Turbulent Atmosphere
  • Bessel Beam
  • Phase Fluctuation