Abstract

Extending the longitudinal range of plasma channels created by ultrashort laser pulses in atmosphere is important in practical applications of laser-induced plasma such as remote spectroscopy and lightning control. Weakly focused femtosecond Gaussian beams that are commonly used for generating plasma channels offer only a limited control of filamentation. Increasing the pulse energy in this case typically results in creation of multiple filaments and does not appreciably extend the longitudinal range of filamentation. Bessel beams with their extended linear foci intuitively appear to be better suited for generation of long plasma channels. We report experimental results on creating extended filaments in air using femtosecond Bessel beams. By probing the linear plasma density along the filament, we show that apertured Bessel beams produce stable single plasma channels that span the entire extent of the linear focus of the beam. We further show that by temporally chirping the pulse, the plasma channel can be longitudinally shifted beyond the linear-focus zone, an important effect that may potentially offer additional means of controlling filament formation.

© 2008 Optical Society of America

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2008 (2)

2007 (4)

C. DAmico, A. Houard, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, V. Tikhonchuk, "Conical Forward THz Emission from Femtosecond-Laser-Beam Filamentation in Air," Phys. Rev. Lett. 98, 235002 (2007).
[CrossRef]

A. Couairon, A. Mysyrowitz, "Femtosecond filamentation in transparent media," Phys. Rep. 441, 47-189 (2007).
[CrossRef]

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
[CrossRef]

A. Dubietis, P. Polesana, G. Valiulis, A. Stabinis, P. D. Trapani, A. Piskarkas, "Axial emission and spectral broadening in self-focusing of femtosecond Bessel beams," Opt. Express 15, 4168-4175 (2007).
[CrossRef] [PubMed]

2006 (2)

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Q. Luo, H. Xu, S. Husseini, J.-F. Daigle, F. Th???eberge, M. Sharifi, S. Chin, "Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy," Appl. Phys. B 82, 105-109 (2006).
[CrossRef]

2005 (1)

2004 (4)

G. Fibich, S. Eisenmann, B. Ilan, Z. Zigler, "Control of multiple filaments in air," Opt. Lett. 29, 1772-1774 (2004).
[CrossRef] [PubMed]

M. Kolesik, J. Moloney, "Nonlinear optical pulse propagation simulations: From Maxwell???s to unidirectional equations," Phys. Rev. E 70, 036604 (2004).
[CrossRef]

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Y.-F. Xiao, H.-H. Chu, H.-E. Tsai, C.-H. Lin, J. Wang, S.-Y. Chen, "Efficient generation of extended plasma waveguides with the axicon ignitor-heater scheme," Phys. Plasmas 11, L21-L24 (2004).
[CrossRef]

2003 (1)

A. Couairon, "Filamentation length of powerful laser pulses," Appl. Phys. B 76, 789-792 (2003).
[CrossRef]

2002 (2)

M. Kolesik, J. Moloney, "Unidirectional Optical Pulse Propagation Equation," Phys. Rev. Lett. 89, 283902 (2002).
[CrossRef]

V. Garces-Chavez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef] [PubMed]

2001 (1)

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevicius, A. Stabinis, V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

1998 (1)

1995 (1)

1987 (1)

J. Durnin, J. Miceli, and J. Eberly, "Diffraction-free Beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef] [PubMed]

1960 (1)

Ackermann, R.

Arevalo, E.

Becker, A.

Biegert, J.

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Braun, A.

Chen, S.-Y.

Y.-F. Xiao, H.-H. Chu, H.-E. Tsai, C.-H. Lin, J. Wang, S.-Y. Chen, "Efficient generation of extended plasma waveguides with the axicon ignitor-heater scheme," Phys. Plasmas 11, L21-L24 (2004).
[CrossRef]

Chin, S.

Q. Luo, H. Xu, S. Husseini, J.-F. Daigle, F. Th???eberge, M. Sharifi, S. Chin, "Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy," Appl. Phys. B 82, 105-109 (2006).
[CrossRef]

W. Liu, F. Theberge, E. Arevalo, J.-F. Gravel, A. Becker, S. Chin, "Experiment and simulations on the energy reservoir effect in femtosecond light filaments," Opt. Lett. 30, 2602-2604 (2005).
[CrossRef] [PubMed]

Chu, H.-H.

Y.-F. Xiao, H.-H. Chu, H.-E. Tsai, C.-H. Lin, J. Wang, S.-Y. Chen, "Efficient generation of extended plasma waveguides with the axicon ignitor-heater scheme," Phys. Plasmas 11, L21-L24 (2004).
[CrossRef]

Couairon, A.

A. Couairon, A. Mysyrowitz, "Femtosecond filamentation in transparent media," Phys. Rep. 441, 47-189 (2007).
[CrossRef]

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
[CrossRef]

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

A. Couairon, "Filamentation length of powerful laser pulses," Appl. Phys. B 76, 789-792 (2003).
[CrossRef]

Daigle, J.-F.

Q. Luo, H. Xu, S. Husseini, J.-F. Daigle, F. Th???eberge, M. Sharifi, S. Chin, "Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy," Appl. Phys. B 82, 105-109 (2006).
[CrossRef]

Dholakia, K.

V. Garces-Chavez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef] [PubMed]

Di Trapani, P.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
[CrossRef]

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Druart, G.

Du, D.

Dubietis, A.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
[CrossRef]

A. Dubietis, P. Polesana, G. Valiulis, A. Stabinis, P. D. Trapani, A. Piskarkas, "Axial emission and spectral broadening in self-focusing of femtosecond Bessel beams," Opt. Express 15, 4168-4175 (2007).
[CrossRef] [PubMed]

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Durnin, J.

J. Durnin, J. Miceli, and J. Eberly, "Diffraction-free Beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef] [PubMed]

Eberly, J.

J. Durnin, J. Miceli, and J. Eberly, "Diffraction-free Beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef] [PubMed]

Eisenmann, S.

Faccio, D.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
[CrossRef]

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Fibich, G.

Gadonas, R.

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevicius, A. Stabinis, V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Garces-Chavez, V.

V. Garces-Chavez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef] [PubMed]

Gravel, J.-F.

Gu???erineau, N.

Haidar, R.

Hauri, C.

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Heinrich, A.

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Helbing, F.

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Husseini, S.

Q. Luo, H. Xu, S. Husseini, J.-F. Daigle, F. Th???eberge, M. Sharifi, S. Chin, "Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy," Appl. Phys. B 82, 105-109 (2006).
[CrossRef]

Ilan, B.

Jarutis, V.

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevicius, A. Stabinis, V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Kasparian, J.

Kattnig, A.

Keller, U.

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Kolesik, M.

M. Kolesik, J. Moloney, "Nonlinear optical pulse propagation simulations: From Maxwell???s to unidirectional equations," Phys. Rev. E 70, 036604 (2004).
[CrossRef]

M. Kolesik, J. Moloney, "Unidirectional Optical Pulse Propagation Equation," Phys. Rev. Lett. 89, 283902 (2002).
[CrossRef]

Korn, G.

Kornelis, W.

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Kucinskas, E.

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Lin, C.-H.

Y.-F. Xiao, H.-H. Chu, H.-E. Tsai, C.-H. Lin, J. Wang, S.-Y. Chen, "Efficient generation of extended plasma waveguides with the axicon ignitor-heater scheme," Phys. Plasmas 11, L21-L24 (2004).
[CrossRef]

Liu, W.

Liu, X.

Luo, Q.

Q. Luo, H. Xu, S. Husseini, J.-F. Daigle, F. Th???eberge, M. Sharifi, S. Chin, "Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy," Appl. Phys. B 82, 105-109 (2006).
[CrossRef]

McGloin, D.

V. Garces-Chavez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef] [PubMed]

McLeod, J. H.

Melville, H.

V. Garces-Chavez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef] [PubMed]

Miceli, J.

J. Durnin, J. Miceli, and J. Eberly, "Diffraction-free Beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef] [PubMed]

Mleinek, M.

Moloney, J.

M. Kolesik, J. Moloney, "Nonlinear optical pulse propagation simulations: From Maxwell???s to unidirectional equations," Phys. Rev. E 70, 036604 (2004).
[CrossRef]

M. Kolesik, J. Moloney, "Unidirectional Optical Pulse Propagation Equation," Phys. Rev. Lett. 89, 283902 (2002).
[CrossRef]

M. Mleinek, E. Wright, J. Moloney, "Dynamic spatial replenishment of femtosecond pulses propagating in air," Opt. Lett. 23, 382-384 (1998).
[CrossRef]

Mourou, G.

Mysyrowicz, A.

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

Mysyrowitz, A.

A. Couairon, A. Mysyrowitz, "Femtosecond filamentation in transparent media," Phys. Rep. 441, 47-189 (2007).
[CrossRef]

Parola, A.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
[CrossRef]

Paskauskas, R.

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevicius, A. Stabinis, V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Piskarkas, A.

Piskarskas, A.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
[CrossRef]

Polesana, P.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
[CrossRef]

A. Dubietis, P. Polesana, G. Valiulis, A. Stabinis, P. D. Trapani, A. Piskarkas, "Axial emission and spectral broadening in self-focusing of femtosecond Bessel beams," Opt. Express 15, 4168-4175 (2007).
[CrossRef] [PubMed]

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Porras, M.

P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
[CrossRef]

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Primot, J.

Sauer, H.

Sharifi, M.

Q. Luo, H. Xu, S. Husseini, J.-F. Daigle, F. Th???eberge, M. Sharifi, S. Chin, "Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy," Appl. Phys. B 82, 105-109 (2006).
[CrossRef]

Sibbett, W.

V. Garces-Chavez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef] [PubMed]

Smilgevicius, V.

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevicius, A. Stabinis, V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Squier, J.

Stabinis, A.

A. Dubietis, P. Polesana, G. Valiulis, A. Stabinis, P. D. Trapani, A. Piskarkas, "Axial emission and spectral broadening in self-focusing of femtosecond Bessel beams," Opt. Express 15, 4168-4175 (2007).
[CrossRef] [PubMed]

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevicius, A. Stabinis, V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Taboury, J.

Th???eberge, F.

Q. Luo, H. Xu, S. Husseini, J.-F. Daigle, F. Th???eberge, M. Sharifi, S. Chin, "Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy," Appl. Phys. B 82, 105-109 (2006).
[CrossRef]

Theberge, F.

Trapani, P. D.

Tsai, H.-E.

Y.-F. Xiao, H.-H. Chu, H.-E. Tsai, C.-H. Lin, J. Wang, S.-Y. Chen, "Efficient generation of extended plasma waveguides with the axicon ignitor-heater scheme," Phys. Plasmas 11, L21-L24 (2004).
[CrossRef]

Vaicaitis, V.

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevicius, A. Stabinis, V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Valiulis, G.

Wang, J.

Y.-F. Xiao, H.-H. Chu, H.-E. Tsai, C.-H. Lin, J. Wang, S.-Y. Chen, "Efficient generation of extended plasma waveguides with the axicon ignitor-heater scheme," Phys. Plasmas 11, L21-L24 (2004).
[CrossRef]

Wright, E.

Xiao, Y.-F.

Y.-F. Xiao, H.-H. Chu, H.-E. Tsai, C.-H. Lin, J. Wang, S.-Y. Chen, "Efficient generation of extended plasma waveguides with the axicon ignitor-heater scheme," Phys. Plasmas 11, L21-L24 (2004).
[CrossRef]

Xu, H.

Q. Luo, H. Xu, S. Husseini, J.-F. Daigle, F. Th???eberge, M. Sharifi, S. Chin, "Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy," Appl. Phys. B 82, 105-109 (2006).
[CrossRef]

Zigler, Z.

Appl. Phys. B (3)

Q. Luo, H. Xu, S. Husseini, J.-F. Daigle, F. Th???eberge, M. Sharifi, S. Chin, "Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy," Appl. Phys. B 82, 105-109 (2006).
[CrossRef]

C. Hauri,W. Kornelis, F. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673-677 (2004).
[CrossRef]

A. Couairon, "Filamentation length of powerful laser pulses," Appl. Phys. B 76, 789-792 (2003).
[CrossRef]

J. Opt. Soc. Am. (1)

Nature (1)

V. Garces-Chavez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
[CrossRef] [PubMed]

Opt. Commun. (1)

R. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevicius, A. Stabinis, V. Vaicaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Opt. Express (2)

Opt. Lett. (5)

Phys. Plasmas (1)

Y.-F. Xiao, H.-H. Chu, H.-E. Tsai, C.-H. Lin, J. Wang, S.-Y. Chen, "Efficient generation of extended plasma waveguides with the axicon ignitor-heater scheme," Phys. Plasmas 11, L21-L24 (2004).
[CrossRef]

Phys. Rep. (1)

A. Couairon, A. Mysyrowitz, "Femtosecond filamentation in transparent media," Phys. Rep. 441, 47-189 (2007).
[CrossRef]

Phys. Rev. E (2)

P. Polesana, A. Dubietis, M. Porras, E. Kucinskas, D. Faccio, A. Couairon, P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

M. Kolesik, J. Moloney, "Nonlinear optical pulse propagation simulations: From Maxwell???s to unidirectional equations," Phys. Rev. E 70, 036604 (2004).
[CrossRef]

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P. Polesana, A. Couairon, D. Faccio, A. Parola, M. Porras, A. Dubietis, A. Piskarskas, P. Di Trapani, "Observation of Conical Waves in Focusing, Dispersive, and Dissipative Kerr Media," Phys. Rev. Lett. 99, 223902 (2007).
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C. DAmico, A. Houard, M. Franco, B. Prade, A. Mysyrowicz, A. Couairon, V. Tikhonchuk, "Conical Forward THz Emission from Femtosecond-Laser-Beam Filamentation in Air," Phys. Rev. Lett. 98, 235002 (2007).
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M. Kolesik, J. Moloney, "Unidirectional Optical Pulse Propagation Equation," Phys. Rev. Lett. 89, 283902 (2002).
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Other (1)

S. Akturk, B. Zhou, B. Pasquiou, A. Houard, M. Franco, A. Couairon, A. Mysyrowicz, "Generation of long plasma channels in air by using axicon-generated Bessel beams," in Proc. CLEO 2008, San Jose, California, May 4-9, 2008, Paper CWI7.

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Figures (4)

Fig. 1.
Fig. 1.

Schematic of the experiment. Top: Filamentation with apertured femtosecond Bessel beam. Bottom: Setup for probing local charge density in the plasma channel.

Fig. 2.
Fig. 2.

Case of focusing with a lens with focal length of 1.3 m. a: On-axis intensity in the linear propagation regime (low intensity). Experimental data is shown with circles, solid line is a calculation based on the Kirchhoff diffraction integral. b: Plasma density along the filament probed with the flat-electrode setup. Different curves correspond to four different values of the pulse energy as specified in the inset.

Fig. 3.
Fig. 3.

Filamentation initiated by the apertured Bessel beam with pulse duration of 50 fs. a: Linear on-axis intensity fitted by calculation based on the Kirchhoff diffraction integral. b: Plasma density measured for different values of pulse energy. Units on the vertical axis are same as in Fig. 2(b). c: Results of the numerical simulations for the total charge integrated over the entire cross-section of the beam, for different input pulse energy. The linear plasma density is shown in units of the number of electrons per centimeter.

Fig. 4.
Fig. 4.

a: Linear plasma density for temporally chirped femtosecond Bessel beams. Pulse energy is 14.5 mJ in all cases. Different curves correspond to different pulse widths as specified in the inset. b: Same for 500 fs–long pulse. Different curves correspond to three different values of the pulse energy as specified in the inset. Units on the vertical axes of both graphs are same as in Figs. 2(b) and 3(b).

Equations (1)

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z 0 = r 0 ( n 1 ) tan ( 90 ° α / 2 )

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