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Evolution of the effective characteristics of high-power femtosecond laser radiation in air under optical turbulence conditions. The Gaussian beam approximation

  • Optics of Stochastically-Heterogeneous Media
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Abstract

An analytical solution to the equation for the effective radius of a high-power femtosecond laser beam in the approximation of the intensity Gaussian profile during its self-focusing in air is found. This equation was derived based on the equation for the Wigner function of the laser radiation field in developed optical turbulence conditions. Estimates are presented of the global self-focusing distance versus the peak radiation power, as well as its divergence after the nonlinear focus.

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References

  1. V. E. Zuev, A. A. Zemlyanov, Yu. D. Kopytin, and A. V. Kuzikovskii, High Power Laser Emission in Atmospheric Aerosol (Nauka, Novosibirsk, 1984) [in Russian].

    Google Scholar 

  2. A. A. Zemlyanov and Y. E. Geints, “Zonal Model of Nonstationary Self-Focusing of Femtosecond Laser Radiation in Air: Effective Beam Characteristics Evolution,” Eur. Phys. J. D: At. Mol. Opt. Plasma Phys., Publ. Online doi:10.1140/epj/e2007-00008-X.

  3. R. W. Boyd, S. G. Lukishova, and Y. R. Shen, Self-Focusing: Past and Present (Springer Sci., Business Media, LLC, 2009).

  4. S. N. Vlasov and V. I. Talanov, Self-Focusing of Waves (IPF RAN, Nizhn. Novgorod, 1997) [in Russian].

  5. S. Skupin, L. Berge, U. Peschel, F. Lederer, G. Mejean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Woste, R. Bourayou, and R. Sauerbrey, “Filamentation of Femtosecond Light Pulses in the Air: Turbulent Cells Versus Long-Range Clusters,” Phys. Rev. E 70, 046602–1 (2004).

    Article  ADS  Google Scholar 

  6. S. A. Shlenov, V. Yu. Fedorov, and V. P. Kandidov, “Filamentation of Chirped Femtosecond Laser Pulse at Kilometer-Range Paths in the Turbulent Atmosphere,” Opt. Atmosf. Okeana 20(4), 308–318 (2007) [Atmos. Ocean. Opt. 20, 275 (2007)].

    Google Scholar 

  7. A. D. Bulygin, A. A. Zemlyanov, and Yu. E. Geints, “Evolution of Effective Radius of Femtosecond Laser Beam After Its Global Self-Focusing in Air,” Opt. Atmosf. Okeana 20(11), 973–979 (2007).

    Google Scholar 

  8. E. Wigner, “On the Quantum Correction for Thermodynamic,” Phys. Rev. 40(6), 749–759 (1932).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. A. A. Zemlyanov and A. D. Bulygin, “Effective Radius of Femtosecond Laser Emission under Its Self-Influence in a Gas Medium in Regime of Multiple Filamentation,” Opt. Atmosf. Okeana 21(12), 1064–1069 (2008).

    Google Scholar 

  10. V. N. Lugovoi and A. I. Prokhorov, “Possible Explanation of Small-Scale Filaments of Self Focusing,” JETP Lett. 7, 117–119 (1968).

    ADS  Google Scholar 

  11. M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, “Optically Turbulent Femtosecond Light Guide in Air,” Phys. Rev. Lett. 83(15), 2938–2941 (1999).

    Article  ADS  Google Scholar 

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Authors and Affiliations

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

    A. A. Zemlyanov & A. D. Bulygin

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  1. A. A. Zemlyanov
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  2. A. D. Bulygin
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Original Russian Text © A.A. Zemlyanov, A.D. Bulygin, 2010, published in Optica Atmosfery i Okeana.

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Zemlyanov, A.A., Bulygin, A.D. Evolution of the effective characteristics of high-power femtosecond laser radiation in air under optical turbulence conditions. The Gaussian beam approximation. Atmos Ocean Opt 23, 339–343 (2010). https://doi.org/10.1134/S1024856010050015

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