Ultrashort laser pulse filamentation with Airy and Bessel beams

A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, Stylianos Tzortzakis, F. Courvoisier, J. M. Dudley

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

We investigate the nonlinear propagation of intense Bessel and Airy beams forming filaments in transparent media. We identify two propagation regimes separated by the relative importance of multiphoton absorption and self-focusing of the main Bessel or Airy lobe, due to the Kerr effect. We show that intense Bessel or Airy beams are reshaped into stationary nonlinear beams whose propagation is sustained by a continuous energy ux to the main lobe from its neighbors. The stationary propagation regime is obtained for Bessel cone angles exceeding a certain threshold, by focusing a Gaussian beam of suficient power with an axicon. With respect to linear Bessel beams, stationnary nonlinear Bessel beams exhibit ring compression and attenuation of contrast. For small cone angles, the nonlinear Bessel beams become unstable leading to an unsteady propagation regime. We demonstrate similar physics for intense Airy beam freely propagating in a Kerr medium: stationary nonlinear Airy beams are demonstrated in a planar geometry. These beams preserve the intensity profile and the transverse acceleration of the Airy peak. For powers in the main Airy lobe exceeding a certain threshold, this stationary propagation regime becomes unstable. In the 2-dimensional case, Airy beams with high powers in the main lobe reshape into a multifilamentary pattern induced by Kerr and multiphoton nonlinearities. The nucleation of new filaments and their interaction, affects the acceleration of the main Airy lobes.

Original languageEnglish
Title of host publication17th International School on Quantum Electronics: Laser Physics and Applications
Volume8770
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event17th International School on Quantum Electronics: Laser Physics and Applications, ISQE 2012 - Nessebar, Bulgaria
Duration: 24 Sep 201228 Sep 2012

Other

Other17th International School on Quantum Electronics: Laser Physics and Applications, ISQE 2012
CountryBulgaria
CityNessebar
Period24/9/1228/9/12

Fingerprint

Bessel Beam
Filamentation
Ultrashort Laser Pulses
Ultrashort pulses
Friedrich Wilhelm Bessel
Cones
Propagation
Gaussian beams
pulses
lobes
lasers
Filament
Nucleation
Physics
propagation
Transverse acceleration
Cone
Unstable
Geometry
Angle

Keywords

  • Airy beams
  • Bessel beams
  • Nonlinear propagation
  • Ultrashort laser pulse filamentation

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Couairon, A., Lotti, A., Panagiotopoulos, P., Abdollahpour, D., Faccio, D., Papazoglou, D. G., ... Dudley, J. M. (2013). Ultrashort laser pulse filamentation with Airy and Bessel beams. In 17th International School on Quantum Electronics: Laser Physics and Applications (Vol. 8770). [87701E] https://doi.org/10.1117/12.2014198

Ultrashort laser pulse filamentation with Airy and Bessel beams. / Couairon, A.; Lotti, A.; Panagiotopoulos, P.; Abdollahpour, D.; Faccio, D.; Papazoglou, D. G.; Tzortzakis, Stylianos; Courvoisier, F.; Dudley, J. M.

17th International School on Quantum Electronics: Laser Physics and Applications. Vol. 8770 2013. 87701E.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Couairon, A, Lotti, A, Panagiotopoulos, P, Abdollahpour, D, Faccio, D, Papazoglou, DG, Tzortzakis, S, Courvoisier, F & Dudley, JM 2013, Ultrashort laser pulse filamentation with Airy and Bessel beams. in 17th International School on Quantum Electronics: Laser Physics and Applications. vol. 8770, 87701E, 17th International School on Quantum Electronics: Laser Physics and Applications, ISQE 2012, Nessebar, Bulgaria, 24/9/12. https://doi.org/10.1117/12.2014198
Couairon A, Lotti A, Panagiotopoulos P, Abdollahpour D, Faccio D, Papazoglou DG et al. Ultrashort laser pulse filamentation with Airy and Bessel beams. In 17th International School on Quantum Electronics: Laser Physics and Applications. Vol. 8770. 2013. 87701E https://doi.org/10.1117/12.2014198
Couairon, A. ; Lotti, A. ; Panagiotopoulos, P. ; Abdollahpour, D. ; Faccio, D. ; Papazoglou, D. G. ; Tzortzakis, Stylianos ; Courvoisier, F. ; Dudley, J. M. / Ultrashort laser pulse filamentation with Airy and Bessel beams. 17th International School on Quantum Electronics: Laser Physics and Applications. Vol. 8770 2013.
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