The concept of nonstationary diffraction-beam optics of high-power femtosecond laser pulses is presented. According to the concept, the power of a beam propagates along specific light structures—diffraction- beam tubes. These tubes do not intersect and do not exchange energy, but changes in their shape and cross sections during propagation show the effect of physical processes that occur with radiation in the medium. The nonstationary theory is supplemented with evolutionary equations for time-averaged diffraction rays and effective squared radii of diffraction tubes.
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Self-focusing: Past and Present. Fundamentals and Prospects, Ed. By R.W. Boyd, S.G. Lukishova, and Y.R. Shen (Springer, Berlin, 2009).
S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun. 181, 123–127 (2000).
A. A. Ilyin, S. S. Golik, and K. A. Shmirko, “Absorption and emission characteristics of femtosecond laser plasma filaments in the air,” Spectrochim. Acta 112, 16–22 (2015).
A. Couairon and A. Myzyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441 (2–4), 47–189 (2007).
S. V. Chekalin and V. P. Kandidov, “From self-focusing light beams to femtosecond laser pulse filamentation,” Phys.-Uspekhi 56 (2), 123–140 (2013).
V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. Liu, A. Becker, N. Akozbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media (or supercontinuum generation),” Appl. Phys. B 77 (2-3), 149–166 (2003).
L. Woste, C. Wedekind, H. Wille, P. Rairoux, B. Stein, S. Nikolov, Ch. Werner, S. Niedermeier, H. Schillinger, and R. Sauerbrey, “Femtosecond atmospheric lamp,” Laser Optoelektron. 29, 51–53 (1997).
M. Rodriguez, R. Bourayou, G. Mejean, J. Kasparian, J. Salmon, E. Yu, A. Scholz, B. Stecklum, J. Eisloffel, U. Laux, A. P. Hatzes, R. Sauerbrey, L. Woste, and J.-P. Wolf, “Kilometer-range non-linear propagation of femtosecond laser pulses,” Phys. Rev., E 69, 036607 (2004).
R. Ackermann, G. Mechain, G. Mejean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Salmon, E. Yu, S. Tzortzakis, Y.-B. Andre, J.-F.Bourrillon, L. Tamin, J. -P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Woste, and J.-P. Wolf, “Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
M. Durand, A. Houard, B. Prade, A. Mysyrowicz, A. Durecu, B. Moreau, D. Fleury, O. Vasseur, H. Borchert, K. Diener, R. Schmitt, F. Theberge, M. Chateauneuf, J.-F. Daigle, and J. Dubois, “Kilometer range filamentation,” Opt. Express 21, 26836–26845 (2013).
A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, “Self-channeling of high-peak-power femtosecond laser pulses in air,” Opt. Lett. 20 (1), 73–75 (1995).
E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, “Conical emission from self-guided femtosecond pulses in air,” Opt. Lett. 21 (1), 62–64 (1996).
V. N. Lugovoi and A. M. Prokhorov, “A possible explanation of the small-scale self-focusing filaments,” JETP Lett. 7, 117–119 (1968).
A. Brodeur, C. Y. Chien, F. A. Ilkov, S. L. Chin, O. G. Kosareva, and V. P. Kandidov, “Moving focus in the propagation of ultrashort laser pulses in air,” Opt. Lett. 22 (5), 304–306 (1997).
R. Y. Ciao, E. Garmiere, and C. H. Towens, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482 (1964).
M. Mlejnek, E. M. Wright, and J. V. Moloney, “Dynamic spatial replenishment of femtosecond pulses propagating in air,” Opt. Lett. 23, 382–384 (1998).
A. Lotti, A. Couairon, D. Faccio, and P. Di Trapani, “Energy-flux characterization of conical and spacetime coupled wave packets,” Phys. Rev., A 81, 023810 (2010).
T. D. Grow, A. A. Ishaaya, L. T. Vuong, A. L. Gaeta, N. Gavish, and G. Fibich, “Collapse dynamics of super-gaussian beams,” Opt. Express. 14, 5468–5475 (2006).
T.-T. Xi, X. Lu, and J. Zhang, “Spatiotemporal moving focus of long femtosecond-laser filaments in air,” Phys. Rev., E 78, 055401 (2008).
A. A. Zemlyanov, A. D. Bulygin, and Yu. E. Geints, “Diffraction optics of a light filament generated during self-focusing of a femtosecond laser pulse in air,” Atmos. Ocean. Opt. 25 (2), 97–105 (2012).
A. A. Zemlyanov, A. D. Bulygin, and Yu. E. Geints, “Energy light structures during femtosecond laser radiation filamentation in air. To the 50th anniversary of the first paper about light self-focusing,” Atmos. Ocean. Opt. 27 (6), 463–475 (2014).
J. B. Keller, “Geometrical theory of diffraction,” J. Opt. Soc. Am. 52 (2), 116–130 (1962).
V. I. Talanov, “Self-focusing of wave beams in nonlinear media,” JETP Lett. 2 (5), 138–140 (1965).
S. G. Rautian, Quasi-beam tubes, Opt. Spektrosk. 87 (3), 494–496 (1999).
A. A. Gershun, Selected Papers on Photometry and Lighting Engineering (Fizmatgiz, Moscow, 1958) [in Russian].
Yu. E. Geints and A. A. Zemlyanov, “Ring-Gaussian laser pulse filamentation in a self-induced diffraction waveguide,” J. Opt. 19, 105502 (2017).
A. A. Zemlyanov, A. D. Bulygin, Yu. E. Geints, and O. V. Minina, “Dynamics of light structures during filamentationof femtosecond laser pulses in air,” Atmos. Ocean. Opt. 29 (5), 395–404 (2016).
A. E. Siegman, Defining and Measuring Laser Beam Quality, Solid State Lasers: New Developments and Applications (Plenum Press, New York, 1994).
Yu. E. Geints and A. A. Zemlyanov, “On the focusing limit of high-power femtosecond laser pulse propagation in air,” Eur. Phys. J. D 55, 745–754 (2009).
Optical waves and laser beams in the irregular atmosphere, Ed. By N. Blaunstein, N. Kopeika (CRC Press, New York, 2018).
Original Russian Text © Yu.E. Geints, A.A. Zemlyanov, O.V. Minina, 2018, published in Optika Atmosfery i Okeana.
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Geints, Y.E., Zemlyanov, A.A. & Minina, O.V. Diffraction-Beam Optics of Filamentation: I–Formalism of Diffraction Beams and Light Tubes. Atmos Ocean Opt 31, 611–618 (2018). https://doi.org/10.1134/S1024856018060088
- femtosecond laser pulses
- diffraction ray
- diffraction-beam tube