Formation of filament and plasma channel by the Bessel incident beam in Ar gas: role of the outer part of the beam

doi:10.1364/OE.18.012923

Formation of filament and plasma channel by the Bessel incident beam in Ar gas: role of the outer part of the beam

Zhenming Song and Takashi Nakajima »View Author Affiliations

Optics Express, Vol. 18, Issue 12, pp. 12923-12938 (2010)
http://dx.doi.org/10.1364/OE.18.012923

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Abstract

We theoretically investigate the formation of filament and plasma channel in Ar gas by intense femtosecond pulses in the Bessel, truncated Bessel, and combination of two Gaussian modes. Through the numerical results obtained by solving the generalized nonlinear Schrödinger equation coupled with the electron density evolution equation, we find that there is a radial energy flow during the propagation, which implies that the outer part of the Bessel beam serves as an energy reservoir for the filament formed around the central peak. The results we obtain for the Bessel and truncated Bessel incident beams are consistent in that we can obtain a longer filament and plasma channel if more energy is reserved in the outer part of the Bessel incident beam. More interestingly we show that the combined use of two Gaussian beams with different beam diameters increases the energy stored in the outer part of the beam, and as a result the lengths of the filament and plasma channel become remarkably longer. This can be a practical choice to improve the propagation properties.

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

ToC Category:
Ultrafast Optics

History
Original Manuscript: February 1, 2010
Revised Manuscript: May 14, 2010
Manuscript Accepted: May 21, 2010
Published: June 2, 2010

Citation
Zhenming Song and Takashi Nakajima, "Formation of filament and plasma channel by the Bessel incident beam in Ar gas: role of the outer part of the beam," Opt. Express 18, 12923-12938 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-12-12923

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References

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58(15), 1499–1501 (1987). [CrossRef] [PubMed]
J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4(4), 651–654 (1987). [CrossRef]
B. Lü, W. Huang, B. Zhang, F. Kong, and Q. Zhai, “Focusing properties of Bessel beams,” Opt. Commun. 131(4-6), 223–228 (1996). [CrossRef]
S. Chávez-Cerda and G. H. C. New, “Evolution of focused Hankel waves and Bessel beams,” Opt. Commun. 181(4-6), 369–377 (2000). [CrossRef]
J. Durnin, J. J. Miceli, and J. H. Eberly, “Comparison of Bessel and Gaussian beams,” Opt. Lett. 13(2), 79–80 (1988). [CrossRef] [PubMed]
D. Mcgloin and K. Dholakia, “Bessel beams: diffraction in a new light,” Contemp. Phys. 46(1), 15–28 (2005). [CrossRef]
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(1-6), 300–304 (1997). [CrossRef]
C. Altucci, R. Bruzzese, C. de Lisio, A. Porzio, S. Solimeno, and V. Tosa, “Diffractionless beams and their use for harmonic generation,” Opt. Lasers Eng. 37(5), 565–575 (2002). [CrossRef]
V. E. Peet and R. V. Tsubin, “Third-harmonic generation and multiphoton ionization in Bessel beams,” Phys. Rev. A 56(2), 1613–1620 (1997). [CrossRef]
S. P. Tewari, H. Huang, and R. W. Boyd, “Theory of third-harmonic generation using Bessel beams, and self-phase-matching,” Phys. Rev. A 54(3), 2314–2325 (1996). [CrossRef] [PubMed]
C. F. R. Caron and R. M. Potvliege, “Phase matching and harmonic generation in Bessel–Gauss beams,” J. Opt. Soc. Am. B 15(3), 1096–1106 (1998). [CrossRef]
C. F. R. Caron and R. M. Potvliege, “Optimum conical angle of a Bessel–Gauss beam for low-order harmonic generation,” J. Opt. Soc. Am. B 16(9), 1377–1384 (1999). [CrossRef]
A. Marcinkevičius, S. Juodkazis, S. Matsuo, V. Mizeikis, and H. Misawa, “Application of Bessel Beams for Microfabrication of Dielectrics by Femtosecond Laser,” Jpn. J. Appl. Phys. 40, L1197–L1199 (2001). [CrossRef]
M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, “Generation of diffraction-free beams for applications in optical microlithography,” J. Vac. Sci. Technol. B 15(2), 287–292 (1997). [CrossRef]
J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, “Optical micromanipulation using a Bessel light beam,” Opt. Commun. 197(4-6), 239–245 (2001). [CrossRef]
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(1), 80–82 (2006). [CrossRef] [PubMed]
Y. Matsuoka, Y. Kizuka, and T. Inoue, “The characteristics of laser micro drilling using a Bessel beam,” Appl. Phys., A Mater. Sci. Process. 84(4), 423–430 (2006). [CrossRef]
T. Kondo, K. Yamasaki, S. Juodkazis, S. Matsuo, V. Mizeikis, and H. Misawa, “Three-dimensional microfabrication by femtosecond pulses in dielectrics,” Thin Solid Films 453–454, 550–556 (2004). [CrossRef]
P. Polesana, M. Franco, A. Couairon, D. Faccio, and P. Di Trapani, “Filamentation in Kerr media from pulsed Bessel beams,” Phys. Rev. A 77(4), 043814 (2008). [CrossRef]
P. Polynkin, M. Kolesik, A. Roberts, D. Faccio, P. Di Trapani, and J. Moloney, “Generation of extended plasma channels in air using femtosecond Bessel beams,” Opt. Express 16(20), 15733–15740 (2008). [CrossRef] [PubMed]
D. Abdollahpour, P. Panagiotopoulos, M. Turconi, O. Jedrkiewicz, D. Faccio, P. Di Trapani, A. Couairon, D. G. Papazoglou, and S. Tzortzakis, “Long spatio-temporally stationary filaments in air using short pulse UV laser Bessel beams,” Opt. Express 17(7), 5052–5057 (2009). [CrossRef] [PubMed]
P. Polynkin, M. Kolesik, and J. Moloney, “Extended filamentation with temporally chirped femtosecond Bessel-Gauss beams in air,” Opt. Express 17(2), 575–584 (2009). [CrossRef] [PubMed]
P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, “Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(5), 056612 (2006). [CrossRef] [PubMed]
P. Polesana, D. Faccio, P. Di Trapani, A. Dubietis, A. Piskarskas, A. Couairon, and M. A. Porras, “High localization, focal depth and contrast by means of nonlinear Bessel beams,” Opt. Express 13(16), 6160–6167 (2005). [CrossRef] [PubMed]
Z. Song, Z. Zhang, and T. Nakajima, “Transverse-mode dependence of femtosecond filamentation,” Opt. Express 17(15), 12217–12229 (2009). [CrossRef] [PubMed]
G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 1995).
M. Mlejnek, E. M. Wright, and J. V. Moloney, “Femtosecond pulse propagation in argon: A pressure dependence study,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 58(4), 4903–4910 (1998). [CrossRef]
L. V. Keldysh, “Ionization in the field of a strong electromagnetic wave,” Sov. Phys. JETP 20, 1307–1314 (1965).
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).
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).
M. Mlejnek, E. M. Wright, and J. V. Moloney, “Dynamic spatial replenishment of femtosecond pulses propagating in air,” Opt. Lett. 23(5), 382–384 (1998). [CrossRef]
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).
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(1), 390–401 (2008). [CrossRef] [PubMed]
W. Liu, F. Théberge, E. Arévalo, J.-F. Gravel, A. Becker, and S. L. Chin, “Experiment and simulations on the energy reservoir effect in femtosecond light filaments,” Opt. Lett. 30(19), 2602–2604 (2005). [CrossRef] [PubMed]
S. Skupin, L. Bergé, U. Peschel, and F. Lederer, “Interaction of femtosecond light filaments with obscurants in aerosols,” Phys. Rev. Lett. 93(2), 023901 (2004). [CrossRef] [PubMed]

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