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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 15 — Jul. 20, 2009
  • pp: 12217–12229

Transverse-mode dependence of femtosecond filamentation

Zhenming Song, Zhigang Zhang, and Takashi Nakajima  »View Author Affiliations


Optics Express, Vol. 17, Issue 15, pp. 12217-12229 (2009)
http://dx.doi.org/10.1364/OE.17.012217


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Abstract

We theoretically investigate the transverse-mode dependence of femtosecond filamentation in Ar gas. Three different transverse modes, Bessel, Gaussian, and Laguerre modes, are considered for incident laser pulses. By solving the extended nonlinear Schrödinger equation coupled with the electron density equation, we find that the lengths of the filament and the plasma channel induced by the Bessel incident beam is much longer than the other transverse modes with the same peak intensity, pulse duration, and beam diameter. Moreover we find that the temporal profile of the pulse with the Bessel incident mode is nearly undistorted during the propagation. Since the pulse energy that the Bessel beam can carry is more than one order of magnitude larger than the other modes for the same peak intensity, pulse duration, and beam diameter, the Bessel beam can be a very powerful tool in ultrafast nonlinear optics involving propagation in a Kerr medium.

© 2009 Optical Society of America

OCIS Codes
(320.2250) Ultrafast optics : Femtosecond phenomena
(320.7110) Ultrafast optics : Ultrafast nonlinear optics

ToC Category:
Ultrafast Optics

History
Original Manuscript: April 16, 2009
Revised Manuscript: June 10, 2009
Manuscript Accepted: June 11, 2009
Published: July 6, 2009

Citation
Zhenming Song, Zhigang Zhang, and Takashi Nakajima, "Transverse-mode dependence of femtosecond filamentation," Opt. Express 17, 12217-12229 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-15-12217


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References

  1. G. Méchain, C. D’Amico, Y.-B. André, S. Tzortzakis, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, E. Salmon, and R. Sauerbrey, "Length of plasma filaments created in air by a multiterawatt femtosecond laser," Opt. Commun. 247, 171-180 (2005). [CrossRef]
  2. P. Rairoux, H. Schillinger, S. Neirdeimer, M. Rodriguez, F. Ronneberger, R. Sauerbrey, B. Stein, D. Waite, C. Wedekind, H. Wille, L. Wöste, and C. Ziener, "Remote sensing of the atmosphere using ultrashort laser pulses," Appl. Phys. B 71, 573-580 (2000). [CrossRef]
  3. G. Méchain, A. Mysyrowicz, M. Depiesse, and M. Pellet, "A virtual antenna produced in air by intense femtosecond laser pulses," In: D.H. Titterton, S.M. Kirkpatrick, R. Stoian, R. Appleby, J.M. Chamberlain, K.A. Krapels, (Eds.), Technologies for Optical Countermeasures II; Femtosecond Phenomena II; and Passive Millimetre-Wave and Terahertz Imaging II, vol. 5989. SPIE, p. 5989 (2005).
  4. J. Kasparian, R. Sauerbrey, D. Mondelain, S. Niedermeier, J. Yu, J. -P. Wolf, Y. -B. André, M. Franco, B. Prade, S. Tzortzakis, A. Mysyrowicz, M. Rodriguez, H. Wille, and L. Wöste, "Infrared extension of the supercontinuum generated by femtosecond terawatt laser pulses propagating in the atmosphere," Opt. Lett. 25, 1397-1399 (2000). [CrossRef]
  5. A. Couairon, J. Biegert, C. P. Hauri, W. Kornelis, F. W. Helbing, U. Keller, and A. Mysyrowicz, "Self-compression of ultrashort laser pulses down to one optical cycle by filamentation," J. Mod. Opt. 53, 75-85 (2006). [CrossRef]
  6. S. Tzortzakis, G. Méchain, G. Patalano, Y.-B. André, B. Prade, M. Franco, A. Mysyrowicz, J.-M. Munier, M. Gheudin, G. Beaudin, and P. Encrenaz, "Coherent subterahertz radiation from femtosecond infrared filaments in air," Opt. Lett. 27, 1944-1946 (2002). [CrossRef]
  7. A. Dubietis, E. Gaižauskas, G. Tamošauskas and P. Di. Trapani, "Light filaments without self-channeling," Phys. Rev. Lett. 92, 253903 (2004). [CrossRef] [PubMed]
  8. J. Durnin, J. J. MiceliJr, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987). [CrossRef] [PubMed]
  9. J. Durnin, "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4, 651-654 (1987). [CrossRef]
  10. P. Polesana, M. Franco, A. Couairon, D. Faccio and P. Di Trapani, "Filamentation in Kerr media from pulsed Bessel beams," Phys. Rev. A 77, 043814 (2008). [CrossRef]
  11. E. Gaižauskas, E. Vanagas, V. Jarutis, S. Juodkazis, V. Mizeikis, and H. Misawa, "Discrete damage traces from filamentation of Gauss-Bessel pulses," Opt. Lett. 31, 80-82 (2006). [CrossRef] [PubMed]
  12. A. Dubietis, P. Polesana, G. Valiulis, A. Stabinis, P. Di Trapani, and A. Piskarskas, "Axial emission and spectral broadening in self-focusing of femtosecond Bessel beams," Opt. Express 15, 4168-4175 (2007). [CrossRef] [PubMed]
  13. B. Lü, W. Huang, B. Zhang, F. Kong, and Q. Zhai, "Focusing properties of Bessel beams," Opt. Commun. 131, 223-228 (1996). [CrossRef]
  14. S. Chávez-Cerda and G. H. C. New, "Evolution of focused Hankel waves and Bessel beams," Opt. Commun. 181, 369-377 (2000). [CrossRef]
  15. J. Durnin, J. J. Miceli, Jr, and J. H. Eberly, "Comparison of Bessel and Gaussian beams," Opt. Lett. 13, 79-80 (1988). [CrossRef] [PubMed]
  16. K. Shinozaki, C. Xu, H. Sasaki, and T. Kamijoh, "A comparison of optical second-harmonic generation efficiency using Bessel and Gaussian beams in bulk crystals," Opt. Commun. 133, 300-304 (1997). [CrossRef]
  17. P. L. Overfelt and C. S. Kenney, "Comparison of the propagation characteristics of Bessel, Bessel-Gauss, and Gaussian beams diffracted by a circular aperture," J. Opt. Soc. Am. A 8, 732-745 (1991). [CrossRef]
  18. P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. D. Trapani, and J. Moloney, "Generation of extended plasma channels in air using femtosecond Bessel beams," Opt. Express 16, 15733-15740 (2008). [CrossRef] [PubMed]
  19. S. Akturk, B. Zhou, M. Franco, A. Couairon, and A. Mysyrowicz, "Generation of long plasma channels in air by focusing ultrashort laser pulses with an axicon," Opt. Commun. 282, 129-134 (2009).
  20. G.A. Turnbull, D.A. Robertson, G.M. Smith, L. Allen, and M.J. Padgett, "The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate," Opt. Commun. 127,183-188 (1996). [CrossRef]
  21. M. W. Beijersbergen, R. P.C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112,321-327 (1994). [CrossRef]
  22. N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegener, "Laser beams with phase singularities," Opt. Quantum Electron. 24,S951-S962 (1992). [CrossRef]
  23. J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, "The production of multiringed Laguerre-Gaussian modes by computer-generated holograms," J. Mod. Opt. 45,1231-1237 (1998). [CrossRef]
  24. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 1995).
  25. M. Mlejnek, E.M. Wright, and J. V. Moloney, "Femtosecond pulse propagation in argon: A pressure dependence study," Phys. Rev. E 58, 4903-4910 (1998) [CrossRef]
  26. L.V. Keldysh, "Ionization in the field of a strong electromagnetic wave," Sov. Phys. JETP 20, 1307-1314 (1965).
  27. A.M. Perelemov, V. S. Popov, and M. V. Terent’ev, "Ionization of atoms in an alternating electric field," Sov. Phys. JETP 23, 924-933 (1966).
  28. M. V. Ammosov, N. B. Delone, and V. P. Krainov, "Tunnel ionization of complex atoms and of atomic ions in an alternating electromagnetic field," Sov. Phys. JETP 64, 1191-1194 (1986).
  29. A. Couairon and A. Mysyrowicz, "Femtosecond filamentation in transparent media," Phys. Rep. 441,47 - 189 (2007) [CrossRef]
  30. 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, 73-75 (1995). [CrossRef] [PubMed]
  31. J. Kasparian, R. Sauerbrey, and S. L. Chin, "The critical laser intensity of self-guided light filaments in air," Appl. Phys. B 71, 877-879 (2000).
  32. A. Becker, N. Aközbek, K. Vijayalakshmi, E. Oral, C. M. Bowden, and S. L. Chin, "Intensity clamping and re-focusing of intense femtosecond laser pulses in nitrogen molecular gas," Appl. Phys. B 73, 287-290 (2001).
  33. M. Mlejnek, E. M. Wright, and J. V. Moloney, "Dynamic spatial replenishment of femtosecond pulses propagating in air," Opt. Lett. 23, 382-384 (1998). [CrossRef]
  34. L. T. Vuong, R.B. Lopez-Martens, C. P. Hauri, and A.L. Gaeta, "Spectral reshaping and pulse compression via sequential filamentation in gases," Opt. Express 16, 390-401 (2008). [CrossRef] [PubMed]
  35. Y.R. Shen, The Principles of Nonlinear Optics (Wiley-Interscience, NewYork, 1984).
  36. L. Bergé, S. Skupin, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, and R. Sauerbrey, "Multiple filamentation of terawatt laser pulses in air," Phys. Rev. Lett. 92, 225002 (2004). [CrossRef] [PubMed]
  37. F. Vidal and T.W. Johnston, "Electromagnetic beam breakup: multiple filaments, single beam equilibria, and radiation," Phys. Rev. Lett. 77, 1282-1285 (1996). [CrossRef] [PubMed]
  38. 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, 73-75 (1995). [CrossRef] [PubMed]

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