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Simulation of Self-focusing of Femtosecond Laser Pulses with Normal Dispersion in Air Using the Diffraction-Beam Tube Approach

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Abstract

Based on numerical simulation and qualitative analysis, the effect of the group velocity dispersion on the formation of light structures during self-focusing and filamentation of femtosecond Ti:sapphire laser pulses in air is studied. The main features of the filamentation have been determined at various pulse duration, initial beam radii, and peak radiation powers based on the results of numerical solutions of the nonlinear Schrödinger equation in a Kerr-plasma dissipative dispersion medium and using the diffraction-beam tube approach. Dispersion is detected in the cases where the dispersion length is not a minimum at the scale of the process. It is shown that the relative (normalized to Rayleigh length) coordinate of the beginning of filamentation increases as the dispersion distortions of the pulse increase, and the filamentation channel length is reduced. For shorter laser pulses (tens of femtoseconds), the filamentation ceases as the laser beam radius increases. The size of the energy-replenishing diffraction-beam tube and the angular divergence of postfilamentation light channels increase for this class of pulses.

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REFERENCES

  1. Self-focusing: Past and Present. Fundamentals and Prospects, Ed. by R.W. Boyd, S.G. Lukishov, and Y.R. Shen (Springer, Berlin, 2009).

    Google Scholar 

  2. A. Couairon and A. Myzyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441 (2–4), 47–189 (2007).

    Article  ADS  Google Scholar 

  3. P. Polynkin and M. Kolesik, “Critical power for self-focusing in the case of ultrashort laser pulses,” Phys. Rev. A 87, 053829-1–5 (2013).

    Article  ADS  Google Scholar 

  4. J. K. Ranka, R. W. Schirmer, and A. L. Gaeta, “Observation of pulse splitting in nonlinear dispersive media,” Phys. Rev. Lett. 77 (18), 3783–3786 (1996).

    Article  ADS  Google Scholar 

  5. L. Berge, S. Mauger, and S. Skupin, “Multifilamentation of powerful optical pulses in silica,” Phys. Rev. A 81, 013817-1–10 (2010).

    ADS  Google Scholar 

  6. P. Chernev and V. Petrov, “Self-focusing of light pulses in the presence of normal group-velocity dispersion,” Opt. Lett. 17 (3), 172–174 (1992).

    Article  ADS  Google Scholar 

  7. W. Liu and S. L. Chin, “Direct measurement of the critical power of femtosecond Ti:Sapphire laser pulse in air,” Opt. Exp. 13 (15), 5750–5755 (2005).

    Article  ADS  Google Scholar 

  8. G. G. Luther, E. M. Wright, J. V. Moloney, and A. C. Newell, “Self-focusing threshold in normally dispersive media,” Opt. Lett. 19 (12), 862–864 (1994).

    Article  ADS  Google Scholar 

  9. Yu. E. Geints and A. A. Zemlyanov, “Characteristics of filaments during high-power femtosecond laser radiation propagation in air and water: I. Qualitative analysis,” Atmos. Ocean. Opt. 24 (2), 144–151 (2011).

    Article  Google Scholar 

  10. V. E. Zuev, A. A. Zemlyanov, and Yu. D. Kopytin, Nonlinear Atmospheric Optics (Gidrometeoizdat, Leningrad, 1989) [in Russian].

    Google Scholar 

  11. Yu. E. Geints, A. A. Zemlyanov, and O. V. Minina, “Diffraction-beam optics of filamentation: I—Formalism of diffraction beams and light tubes,” Atmos. Ocean. Opt. 31 (6), 611–618 (2018).

    Article  Google Scholar 

  12. Yu. E. Geints, A. A. Zemlyanov, and O. V. Minina, “Diffraction-beam optics of filamentation: II—Diffraction-beam pattern of laser pulse filamentation,” Atmos. Ocean. Opt. 31 (6), 619–625 (2018).

    Article  Google Scholar 

  13. Yu. E. Geints, A. A. Zemlyanov, and O. V. Minina, “Simulation of self-focusing of femtosecond laser pulses in air by the method of diffraction-beam tubes,” Atmos. Ocean. Opt. 32 (4), 420–429 (2019).

    Article  Google Scholar 

  14. A. A. Zemlyanov, A. D. Bulygin, Yu. E. Geints, and O. V. Minina, “Dynamics of light structures during filamentation of femtosecond laser pulses in air,” Atmos. Ocean. Opt. 29 (5), 395–403 (2016).

    Article  Google Scholar 

  15. W. Liu, J.-F. Gravel, F. Theberge, A. Becker, and S. L. Chin, “Background reservoir: Its crucial role for long-distance propagation of femtosecond laser pulses in air,” Appl. Phys. B 80 (7), 857–860 (2005).

    Article  ADS  Google Scholar 

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Funding

The work was performed within State Assignment no. 0368-2018-0016.

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Authors and Affiliations

  1. V.E. Zuev Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences, 634055, Tomsk, Russia

    Yu. E. Geints, A. A. Zemlyanov & O. V. Minina

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  1. Yu. E. Geints
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  2. A. A. Zemlyanov
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  3. O. V. Minina
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Correspondence to Yu. E. Geints, A. A. Zemlyanov or O. V. Minina.

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The authors declare that they have no conflicts of interest.

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Translated by O. Ponomareva

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Geints, Y.E., Zemlyanov, A.A. & Minina, O.V. Simulation of Self-focusing of Femtosecond Laser Pulses with Normal Dispersion in Air Using the Diffraction-Beam Tube Approach. Atmos Ocean Opt 32, 491–498 (2019). https://doi.org/10.1134/S1024856019050075

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  • DOI: https://doi.org/10.1134/S1024856019050075

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