Russian
 Russian
Home » Archive » Vol. 31, 2018 » Issue 05 »

Vol. 31, issue 05, article # 5

Geints Yu. E., Zemlyanov A. A., Minina O. V. Diffraction-beam optics of filamentation. I. Formalism of diffraction beams and light tubes. // Optika Atmosfery i Okeana. 2018. V. 31. No. 05. P. 364–371. DOI: 10.15372/AOO20180505 [in Russian].
Copy the reference to clipboard
Abstract:

The concept of non-stationary diffraction-beam optics of powerful 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, do not exchange energy, but changes in their shape and cross sections during propagation reflect the effect of physical processes that occur with radiation in the medium. The non-stationary theory is supplemented with evolutionary equations for time averaged diffraction beams and effective squared radii of diffraction tubes.

Keywords:

femtosecond laser pulses, self-focusing, filamentation, diffraction ray, diffraction-beam tube

References:

  1. Self-focusing: Past and Present. Fundamentals and prospects // Topics in Applied Physics / R.W. Boyd, S.G. Lu-kishova, Y.R. Shen. (eds.). Berlin: Springer, 2009. 605 p.
  2. Tzortzakis S., Prade B., Franco M., Mysyrowicz A. Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air // Opt. Commun. 2000. V. 181. P. 123–127.
  3. Ilyin A.A., Golik S.S., Shmirko K.A. Absorption and emission characteristics of femtosecond laser plasma filaments in the air // Spectrochim. Acta. B. 2015. V. 112. P. 16–22.
  4. Couairon A., Myzyrowicz A. Femtosecond filamentation in transparent media // Phys. Rep. 2007. V. 441, N 2–4. P. 47–189.
  5. Chekalin S.V., Kandidov V.P. Ot samofokusirovki svetovyh puchkov k filamentacii lazernyh impulsov // Uspehi fiz. nauk. 2013. V. 183, N 2. P. 133–152.
  6. Kandidov V.P., Kosareva O.G., Golubtsov I.S., Liu W., Becker A., Akozbek N., Bowden C.M., Chin S.L. Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media (or supercontinuum generation) // Appl. Phys. B. 2003. V. 77, N 2–3. P. 149–166.
  7. Woste L., Wedekind C., Wille H., Rairoux P., Stein B., Nikolov S., Werner Ch., Niedermeier S., Schillinger H., Sauerbrey R. Femtosecond atmospheric lamp // Laser Optoelektron. 1997. V. 29. P. 51–53.
  8. Rodriguez M., Bourayou R., Méjean G., Kasparian J., Salmon J., Yu E., Scholz A., Stecklum B., Eislöffel J., Laux U., Hatzes A.P., Sauerbrey R., Wöste L., Wolf J.-P. Kilometer-range non-linear propagation of femtosecond laser pulses // Phys. Rev. E. 2004. V. 69. P. 036607-1–036607-7.
  9. Ackermann R., Méchain G., Méjean G., Bourayou R., Rodriguez M., Stelmaszczyk K., Kasparian J., Salmon J., Yu E., Tzortzakis S., André Y.-B., Bourrillon J.-F., Tamin L., Cascelli J.-P., Campo C., Davoise C., Mysyrowicz A., Sauerbrey R., Wöste L., Wolf J.-P. Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments // Appl. Phys. B. 2006. V. 82. P. 561–566.
  10. Durand M., Houard A., Prade B., Mysyrowicz A., Durécu A., Moreau B., Fleury D., Vasseur O., Borchert H., Diener K., Schmitt R., Théberge F., Chateauneuf M., Daigle J.-F., Dubois J. Kilometer range filamentation  //  Opt. Express. 2013. V. 21. P. 26836–26845.
  11. Braun A., Korn G., Liu X., Du D., Squier J., Mourou G. Self-channeling of high-peak-power femtosecond laser pulses in air  //  Opt.  Lett.  1995.  V. 20,  iss. 1.  P. 73–75.
  12. Nibbering E.T.J., Curley P.F., Grillon G., Prade B.S., Franco M.A., Salin F., Mysyrowicz A. Conical emission from self-guided femtosecond pulses in air// Opt. Lett. V. 21, iss. 1. P. 62–64.
  13. Lugovoi V.N., Prokhorov A.M. A possible explanation of the small-scale self-focusing filaments // JETP Lett. 1968. V. 7. P. 117–119.
  14. Brodeur A., Chien C.Y., Ilkov F.A., Chin S.L., Kosareva O.G., Kandidov V.P. Moving focus in the propagation of ultrashort laser pulses in air // Opt. Lett. 1997. V. 22, iss. 5. P. 304–306.
  15. Ciao R.Y., Garmiere E., Towens C.H. Self-trapping of optical beams // Phys. Rev. Lett. 1964. V. 13. P. 479–482.
  16. Mlejnek M., Wright E.M., Moloney J.V. Dynamic spatial replenishment of femtosecond pulses propagating in air// Opt. Lett. 1998. V. 23. P. 382–384.
  17. Lotti A., Couairon A., Faccio D., Di Trapani P. Energy-flux characterization of conical and space-time coupled wave packets // Phys. Rev. A. 2010. V. 81. P. 023810-1–023810-14.
  18. Grow T.D., Ishaaya A.A., Vuong L.T., Gaeta A.L., Gavish N., Fibich G. Collapse dynamics of super-gaussian beams // Opt. Express. 2006. V. 14. P. 5468–5475.
  19. Xi T.-T., Lu X., Zhang J. Spatiotemporal moving focus of long femtosecond-laser filaments in air // Phys. Rev. E. 2008. V. 78. P. 055401-1–055401-4.
  20. Zemlyanov A.A., Bulygin A.D., Geync Yu.E. Difrakcionnaya optika svetovogo filamenta, obrazovannogo pri samofokusirovke femtosekundnogo lazernogo impulsa v vozduhe // Optika atmosf. i okeana. 2011. V. 24, N 10. P. 839–847; Zemlyanov A.A., Bulygin A.D., Geints Yu.E. Diffraction optics of a light filament generated during self-focusing of a femtosecond laser pulse in air // Atmos. Ocean. Opt. 2012. V. 25, N 2. P. 97–105.
  21. Zemlyanov A.A., Bulygin A.D., Geync Yu.E. Energeticheskie svetovye struktury pri filamentacii femtosekundnogo lazernogo izlucheniya v vozduhe // Optika atmosf. i okeana. 2013. V. 26. N 5. P. 350–362; Zemlyanov A.A., Bulygin A.D., Geints Yu.E. 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. 2014. V. 27, N 6. P. 463–475.
  22. Keller J.B. Geometrical theory of diffraction // J. Opt. Soc. Am. 1962. V. 52, iss. 2. P. 116–130.
  23. Talanov V.I. O samofokusirovke volnovyh puchkov v nelineynyh sredah // Pisma v ZhETF. 1965. V. 2. P. 218–222.
  24. Rautian S.G. Kvaziluchevye trubki // Optika i spektroskopiya. 1999. V. 87, N 3. P. 494–496.
  25. Gershun A.A. Izbrannye trudy po fotometrii i svetotehnike. M.: Fizmatgiz, 1958. 548 p.
  26. Geints Yu.E., Zemlyanov A.A. Ring-Gaussian laser pulse filamentation in a self-induced diffraction waveguide // J. Opt. 2017. V. 19. P. 105502-1–105502-10.
  27. Zemlyanov A.A., Bulygin A.D., Geync Yu.E., Minina O.V. Dinamika svetovyh struktur pri filamentacii ultrakorotkih lazernyh impulsov v vozduhe // Optika atmosf. i okeana. 2016. V. 29, N 5. P. 359–368; Zemlyanov A.A., Bulygin A.D., Geints Yu.E., Minina O.V. Dynamics of light structures during filamentationof femtosecond laser pulses in air // Atmos. Ocean. Opt. 2016. V. 29, N 5. P. 395–404.
  28. Siegman A.E. Defining and Measuring Laser Beam Quality // Solid State Lasers: New Developments and Applications. New York: Plenum Press, 1994. P. 13–28.
  29. Geints Yu.E., Zemlyanov A.A. On the focusing limit of high-power femtosecond laser pulse propagation in air // Eur. Phys. J. D. 2009. V. 55. P. 745–754.