Abstract

We propose a novel scheme that lengthens the plasma channel in filamentation with a multi-focal-length beam. Instead of one focal length introduced by a conventional convex lens, the multi-focal-length beam modulated by a spatial light modulator (SLM) produces a filament in an extended range with limited but strictly manipulated laser energy. The results show that the scheme is capable of doubling the filament length compared to a single-lens scheme with a 2-mJ input pulse. The filament location and length can be simply tuned by altering the spatial amplitude and phase or employing higher energies. Furthermore, the extended filament length leads to the generation of a broadened continuum ranging from visible (VIS) to infrared (IR) domain. This versatile scheme offers an efficient tool for the development of a variety of applications involving ultrafast nonlinear optics.

© 2016 Optical Society of America

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References

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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
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2016 (1)

X. Ma, Y. Zhou, and P. Lu, “Multiple recollisions in strong-field nonsequential double ionization,” Phys. Rev. A 93, 013425 (2016).
[Crossref]

2015 (6)

M. Li, P. Zhang, S. Luo, Y. Zhou, Q. Zhang, P. Lan, and P. Lu, “Selective enhancement of resonant multiphoton ionization with strong laser fields,” Phys. Rev. A 92, 063404 (2015).
[Crossref]

L. He, P. Lan, Q. Zhang, C. Zhai, F. Wang, W. Shi, and P. Lu, “Spectrally resolved spatiotemporal features of quantum paths in high-order harmonic generation,” Phys. Rev. A 92, 043403 (2015).
[Crossref]

X. Sun, T. Zeng, H. Gao, S. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. B: At. Mol. Opt. Phys. 48, 094004 (2015).
[Crossref]

M. Mills, M. Heinrich, M. Kolesik, and D. Christodoulides, “Extending optical filaments using auxiliary dress beams,” J. Phys. B: At. Mol. Opt. Phys. 48, 094014 (2015).
[Crossref]

Z. F. Feng, W. Li, C. X. Yu, X. Liu, J. Liu, and L. B. Fu, “Extended laser filamentation in air generated by femtosecond annular Gaussian beams,” Phys. Rev. A 91, 033839 (2015).
[Crossref]

S. Butkus, D. Paipulas, D. Kaškelytė, E. Gaižauskas, and V. Sirutkaitis, “Improvement of cut quality in rapid-cutting of glass method via femtosecond laser filamentation,” Journal of Laser Micro/Nanoengineering 10, 59–63 (2015).
[Crossref]

2014 (8)

A. Valenzuela, C. Munson, A. Porwitzky, M. Weidman, and M. Richardson, “Comparison between geometrically focused pulses versus filaments in femtosecond laser ablation of steel and titanium alloys,” Appl. Phys. B 116, 485–491 (2014).
[Crossref]

Z. Hong, Q. Zhang, P. Lan, and P. Lu, ”Generation of few-cycle infrared pulses from a degenerate dual-pump OPCPA,” Opt. Express 22, 5544–5557 (2014).
[Crossref] [PubMed]

V. Jukna, J. Galinis, G. Tamosauskas, D. Majus, and A. Dubietis, “Infrared extension of femtosecond supercontinuum generated by filamentation in solid-state media,” Appl. Phys. B 116, 477–483 (2014).
[Crossref]

L. Zhu and J. Wang, Arbitrary manipulation of spatial amplitude and phase using phase-only spatial light modulators, Sci. Rep. 4, 7441 (2014).
[Crossref] [PubMed]

M. Scheller, M. S. Mills, M.-A. Miri, W. Cheng, J. V. Moloney, M Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nat. Photon. 8, 297–301 (2014).
[Crossref]

K. Lim, M. Durand, M. Baudelet, and M. Richardson, “Transition from linear- to nonlinear-focusing regime in filamentation,” Sci. Rep. 4, 7217 (2014).
[Crossref] [PubMed]

J. Zhao, W. Chu, L. Guo, Z. Wang, J. Yang, W. Liu, Y. Cheng, and Z. Xu, “Terahertz imaging with sub-wavelength resolution by femtosecond laser filament in air,” Sci. Rep. 4, 3880 (2014).
[PubMed]

N. V. Vvedenskii, A. I. Korytin, V. A. Kostin, A. A. Murzanev, A. A. Silaev, and A. N. Stepanov, “Two-color laser-plasma generation of terahertz radiation using a frequency-tunable half harmonic of a femtosecond pulse,” Phys. Rev. Lett. 112, 055004 (2014).
[Crossref] [PubMed]

2013 (7)

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. A 110, 073901 (2013).

P. Klarskov, A. C Strikwerda, K. Iwaszczuk, and P. U. Jepsen, “Experimental three-dimensional beam profiling and modeling of a terahertz beam generated from a two-color air plasma,” New J. Phys. 15, 075012 (2013).
[Crossref]

L. He, Y. Li, Q. Zhang, and P. Lu, “Ultra-broadband water window supercontinuum generation with high efficiency in a three-color laser field,” Opt. Express 21, 2683–2692 (2013).
[Crossref] [PubMed]

F. Hagemann, O. Gause, L. Wöste, and T. Siebert, “Supercontinuum pulse shaping in the few-cycle regime,” Opt. Express 21, 5536–5549 (2013).
[Crossref] [PubMed]

J. P. Vizcaíno, O. M.-Yero, R. B.-Varillas, G. M.-Vega, J. R. Vázquez de Aldana, and J. Láncis, “On-axis non-linear effects with programmable Dammann lenses under femtosecond illumination,” Opt. Lett. 38, 1621–1623 (2013).
[Crossref]

P. Vasa, M. Singh, R. Bernard, A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Supercontinuum generation in water doped with gold nanoparticles,” Appl. Phys. Lett. 103, 111109 (2013).
[Crossref]

J. Darginavičius, D. Majus, V. Jukna, Nail Garejev, G. Valiulis, A. Couairon, and A. Dubietis, “Ultrabroadband supercontinuum and third-harmonic generation in bulk solids with two optical-cycle carrier-envelope phase-stable pulses at 2 μm,” Opt. Express 21, 25210–25220 (2013).
[Crossref]

2012 (2)

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

N. Kaya, J. Strohaber, A. A. Kolomenskii, G. Kaya, H. Schroeder, and H. A. Schuessler, “White-light generation using spatially-structured beams of femtosecond radiation,” Opt. Express 20, 13337–13346 (2012).
[Crossref] [PubMed]

2011 (2)

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioners guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
[Crossref]

H. L. Xu and S. L. Chin, “Femtosecond laser filamentation for atmospheric sensing,” Sensors 11, 32–53 (2011).
[Crossref]

2010 (2)

2009 (6)

M. Bradler, P. Baum, and E. Riedle, “Femtosecond continuum generation in bulk laser host materials with sub-μJ pump pulses,” Appl. Phys. B 97, 561–574 (2009).
[Crossref]

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, 5052–5057 (2009).
[Crossref] [PubMed]

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).
[Crossref]

Z. Song, Z. Zhang, and T. Nakajima, “Transverse-mode dependence of femtosecond filamentation,” Opt. Express 17, 12217–12229 (2009).
[Crossref] [PubMed]

D. Walter, S. Eyring, J. Lohbreier, R. Spitzenpfeil, and C. Spielmann, “Spatial optimization of filaments,” Appl. Phys. B 88, 175–178 (2009).
[Crossref]

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys. 81, 163–234 (2009).
[Crossref]

2008 (3)

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101, 213901 (2008).
[Crossref] [PubMed]

L. Bergé and S. Skupin, “Few-cycle light bullets created by femtosecond filaments,” Phys. Rev. Lett. 100, 113902 (2008).
[Crossref] [PubMed]

2007 (1)

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
[Crossref]

2006 (5)

F. Théberge, W. Liu, P. Tr. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[Crossref]

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O.G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2006).
[Crossref]

Q. Luo, H. L. Xu, S. A. Hosseini, J. F. Daigle, F. Théberge, M. Sharifi, and S. L. Chin, “Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy,” Appl. Phys. B 82, 105–109 (2006).
[Crossref]

W. Liu, F. Théberge, J.-F. Daigle, P.T. Simard, S.M. Sarifi, Y. Kamali, H.L. Xu, and S.L. Chin, “An efficient control of ultrashort laser filament location in air for the purpose of remote sensing,” App. Phys. B 85, 55–58 (2006).
[Crossref]

2004 (1)

L. Bergé, “Boosted propagation of femtosecond filaments in air by double-pulse combination,” Phys. Rev. E 69, 065601(R) (2004).
[Crossref]

2003 (3)

S. Tzortzakis, G. Méchain, G. Patalano, M. Franco, B. Prade, and A. Mysyrowicz, “Concatenation of plasma filaments created in air by femtosecond infrared laser pulses,” Appl. Phys. B 76, 609–612 (2003).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[Crossref] [PubMed]

G. Cerullo and S. De Silvestri, “Ultrafast optical parametric amplifiers,” Rev. Sci. Instrum. 74, 1–18 (2003).
[Crossref]

1995 (1)

1975 (1)

J. H. Marburger, “Self-focusing: Theory,” Prog. Quant. Electr. 4, 35–110 (1975).
[Crossref]

Abdollahpour, D.

Ackermann, R.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

Aközbek, N.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O.G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2006).
[Crossref]

Akturk, S.

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).
[Crossref]

André, Y. B.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

André, Y.-B.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[Crossref] [PubMed]

Aquila, A. L.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

Attwood, D. T.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

Austin, D. R.

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

B.-Varillas, R.

Babushkin, I.

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. A 110, 073901 (2013).

Baudelet, M.

K. Lim, M. Durand, M. Baudelet, and M. Richardson, “Transition from linear- to nonlinear-focusing regime in filamentation,” Sci. Rep. 4, 7217 (2014).
[Crossref] [PubMed]

Baudisch, M.

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

Baum, P.

M. Bradler, P. Baum, and E. Riedle, “Femtosecond continuum generation in bulk laser host materials with sub-μJ pump pulses,” Appl. Phys. B 97, 561–574 (2009).
[Crossref]

Becker, A.

F. Théberge, W. Liu, P. Tr. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[Crossref]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O.G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2006).
[Crossref]

Bergé, L.

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. A 110, 073901 (2013).

L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101, 213901 (2008).
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L. Bergé and S. Skupin, “Few-cycle light bullets created by femtosecond filaments,” Phys. Rev. Lett. 100, 113902 (2008).
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L. Bergé, “Boosted propagation of femtosecond filaments in air by double-pulse combination,” Phys. Rev. E 69, 065601(R) (2004).
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Bernard, R.

P. Vasa, M. Singh, R. Bernard, A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Supercontinuum generation in water doped with gold nanoparticles,” Appl. Phys. Lett. 103, 111109 (2013).
[Crossref]

Biegert, J.

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

Bourayou, R.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[Crossref] [PubMed]

Bourrillon, J. F.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

Bradler, M.

M. Bradler, P. Baum, and E. Riedle, “Femtosecond continuum generation in bulk laser host materials with sub-μJ pump pulses,” Appl. Phys. B 97, 561–574 (2009).
[Crossref]

Brambilla, E.

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioners guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
[Crossref]

Braun, A.

Butkus, S.

S. Butkus, D. Paipulas, D. Kaškelytė, E. Gaižauskas, and V. Sirutkaitis, “Improvement of cut quality in rapid-cutting of glass method via femtosecond laser filamentation,” Journal of Laser Micro/Nanoengineering 10, 59–63 (2015).
[Crossref]

Campo, C.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

Cascelli, J. P.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
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Cerullo, G.

G. Cerullo and S. De Silvestri, “Ultrafast optical parametric amplifiers,” Rev. Sci. Instrum. 74, 1–18 (2003).
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Cheng, W.

M. Scheller, M. S. Mills, M.-A. Miri, W. Cheng, J. V. Moloney, M Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nat. Photon. 8, 297–301 (2014).
[Crossref]

Cheng, Y.

J. Zhao, W. Chu, L. Guo, Z. Wang, J. Yang, W. Liu, Y. Cheng, and Z. Xu, “Terahertz imaging with sub-wavelength resolution by femtosecond laser filament in air,” Sci. Rep. 4, 3880 (2014).
[PubMed]

Chin, S. L.

H. L. Xu and S. L. Chin, “Femtosecond laser filamentation for atmospheric sensing,” Sensors 11, 32–53 (2011).
[Crossref]

Q. Luo, H. L. Xu, S. A. Hosseini, J. F. Daigle, F. Théberge, M. Sharifi, and S. L. Chin, “Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy,” Appl. Phys. B 82, 105–109 (2006).
[Crossref]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O.G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2006).
[Crossref]

F. Théberge, W. Liu, P. Tr. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[Crossref]

S. L. Chin and K. Miyazaki, “A comment on lightning control using a femtosecond laser,” Jpn. J. Appl. Phys.38 (2011).

Chin, S.L.

W. Liu, F. Théberge, J.-F. Daigle, P.T. Simard, S.M. Sarifi, Y. Kamali, H.L. Xu, and S.L. Chin, “An efficient control of ultrashort laser filament location in air for the purpose of remote sensing,” App. Phys. B 85, 55–58 (2006).
[Crossref]

Christodoulides, D.

M. Mills, M. Heinrich, M. Kolesik, and D. Christodoulides, “Extending optical filaments using auxiliary dress beams,” J. Phys. B: At. Mol. Opt. Phys. 48, 094014 (2015).
[Crossref]

Christodoulides, D. N.

M. Scheller, M. S. Mills, M.-A. Miri, W. Cheng, J. V. Moloney, M Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nat. Photon. 8, 297–301 (2014).
[Crossref]

Chu, W.

J. Zhao, W. Chu, L. Guo, Z. Wang, J. Yang, W. Liu, Y. Cheng, and Z. Xu, “Terahertz imaging with sub-wavelength resolution by femtosecond laser filament in air,” Sci. Rep. 4, 3880 (2014).
[PubMed]

Corti, T.

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioners guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
[Crossref]

Couairon, A.

J. Darginavičius, D. Majus, V. Jukna, Nail Garejev, G. Valiulis, A. Couairon, and A. Dubietis, “Ultrabroadband supercontinuum and third-harmonic generation in bulk solids with two optical-cycle carrier-envelope phase-stable pulses at 2 μm,” Opt. Express 21, 25210–25220 (2013).
[Crossref]

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioners guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
[Crossref]

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, 5052–5057 (2009).
[Crossref] [PubMed]

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).
[Crossref]

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441, 47–189 (2007).
[Crossref]

Daigle, J. F.

Q. Luo, H. L. Xu, S. A. Hosseini, J. F. Daigle, F. Théberge, M. Sharifi, and S. L. Chin, “Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy,” Appl. Phys. B 82, 105–109 (2006).
[Crossref]

Daigle, J.-F.

W. Liu, F. Théberge, J.-F. Daigle, P.T. Simard, S.M. Sarifi, Y. Kamali, H.L. Xu, and S.L. Chin, “An efficient control of ultrashort laser filament location in air for the purpose of remote sensing,” App. Phys. B 85, 55–58 (2006).
[Crossref]

Darginavicius, J.

Davoise, C.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

De Silvestri, S.

G. Cerullo and S. De Silvestri, “Ultrafast optical parametric amplifiers,” Rev. Sci. Instrum. 74, 1–18 (2003).
[Crossref]

Dharmadhikari, A. K.

P. Vasa, M. Singh, R. Bernard, A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Supercontinuum generation in water doped with gold nanoparticles,” Appl. Phys. Lett. 103, 111109 (2013).
[Crossref]

Dharmadhikari, J. A.

P. Vasa, M. Singh, R. Bernard, A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Supercontinuum generation in water doped with gold nanoparticles,” Appl. Phys. Lett. 103, 111109 (2013).
[Crossref]

Di Trapani, P.

Du, D.

Dubietis, A.

V. Jukna, J. Galinis, G. Tamosauskas, D. Majus, and A. Dubietis, “Infrared extension of femtosecond supercontinuum generated by filamentation in solid-state media,” Appl. Phys. B 116, 477–483 (2014).
[Crossref]

J. Darginavičius, D. Majus, V. Jukna, Nail Garejev, G. Valiulis, A. Couairon, and A. Dubietis, “Ultrabroadband supercontinuum and third-harmonic generation in bulk solids with two optical-cycle carrier-envelope phase-stable pulses at 2 μm,” Opt. Express 21, 25210–25220 (2013).
[Crossref]

Durand, M.

K. Lim, M. Durand, M. Baudelet, and M. Richardson, “Transition from linear- to nonlinear-focusing regime in filamentation,” Sci. Rep. 4, 7217 (2014).
[Crossref] [PubMed]

Eyring, S.

D. Walter, S. Eyring, J. Lohbreier, R. Spitzenpfeil, and C. Spielmann, “Spatial optimization of filaments,” Appl. Phys. B 88, 175–178 (2009).
[Crossref]

Faccio, D.

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

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, 5052–5057 (2009).
[Crossref] [PubMed]

Feng, Z. F.

Z. F. Feng, W. Li, C. X. Yu, X. Liu, J. Liu, and L. B. Fu, “Extended laser filamentation in air generated by femtosecond annular Gaussian beams,” Phys. Rev. A 91, 033839 (2015).
[Crossref]

Franco, M.

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).
[Crossref]

S. Tzortzakis, G. Méchain, G. Patalano, M. Franco, B. Prade, and A. Mysyrowicz, “Concatenation of plasma filaments created in air by femtosecond infrared laser pulses,” Appl. Phys. B 76, 609–612 (2003).
[Crossref]

Frey, S.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[Crossref] [PubMed]

Fu, L. B.

Z. F. Feng, W. Li, C. X. Yu, X. Liu, J. Liu, and L. B. Fu, “Extended laser filamentation in air generated by femtosecond annular Gaussian beams,” Phys. Rev. A 91, 033839 (2015).
[Crossref]

Gagnon, J.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

Gaižauskas, E.

S. Butkus, D. Paipulas, D. Kaškelytė, E. Gaižauskas, and V. Sirutkaitis, “Improvement of cut quality in rapid-cutting of glass method via femtosecond laser filamentation,” Journal of Laser Micro/Nanoengineering 10, 59–63 (2015).
[Crossref]

Galinis, J.

V. Jukna, J. Galinis, G. Tamosauskas, D. Majus, and A. Dubietis, “Infrared extension of femtosecond supercontinuum generated by filamentation in solid-state media,” Appl. Phys. B 116, 477–483 (2014).
[Crossref]

Gao, H.

X. Sun, T. Zeng, H. Gao, S. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. B: At. Mol. Opt. Phys. 48, 094004 (2015).
[Crossref]

Garejev, Nail

Gause, O.

Goulielmakis, E.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

Gullikson, E. M.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

Guo, L.

J. Zhao, W. Chu, L. Guo, Z. Wang, J. Yang, W. Liu, Y. Cheng, and Z. Xu, “Terahertz imaging with sub-wavelength resolution by femtosecond laser filament in air,” Sci. Rep. 4, 3880 (2014).
[PubMed]

Hagemann, F.

He, L.

L. He, P. Lan, Q. Zhang, C. Zhai, F. Wang, W. Shi, and P. Lu, “Spectrally resolved spatiotemporal features of quantum paths in high-order harmonic generation,” Phys. Rev. A 92, 043403 (2015).
[Crossref]

L. He, Y. Li, Q. Zhang, and P. Lu, “Ultra-broadband water window supercontinuum generation with high efficiency in a three-color laser field,” Opt. Express 21, 2683–2692 (2013).
[Crossref] [PubMed]

Heinrich, M.

M. Mills, M. Heinrich, M. Kolesik, and D. Christodoulides, “Extending optical filaments using auxiliary dress beams,” J. Phys. B: At. Mol. Opt. Phys. 48, 094014 (2015).
[Crossref]

Hemmer, M.

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

Herrmann, J.

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. A 110, 073901 (2013).

Hofstetter, M.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

Hong, Z.

Hosseini, S. A.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O.G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2006).
[Crossref]

Q. Luo, H. L. Xu, S. A. Hosseini, J. F. Daigle, F. Théberge, M. Sharifi, and S. L. Chin, “Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy,” Appl. Phys. B 82, 105–109 (2006).
[Crossref]

Ivanov, M.

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys. 81, 163–234 (2009).
[Crossref]

Iwaszczuk, K.

P. Klarskov, A. C Strikwerda, K. Iwaszczuk, and P. U. Jepsen, “Experimental three-dimensional beam profiling and modeling of a terahertz beam generated from a two-color air plasma,” New J. Phys. 15, 075012 (2013).
[Crossref]

Jedrkiewicz, O.

Jepsen, P. U.

P. Klarskov, A. C Strikwerda, K. Iwaszczuk, and P. U. Jepsen, “Experimental three-dimensional beam profiling and modeling of a terahertz beam generated from a two-color air plasma,” New J. Phys. 15, 075012 (2013).
[Crossref]

Jukna, V.

V. Jukna, J. Galinis, G. Tamosauskas, D. Majus, and A. Dubietis, “Infrared extension of femtosecond supercontinuum generated by filamentation in solid-state media,” Appl. Phys. B 116, 477–483 (2014).
[Crossref]

J. Darginavičius, D. Majus, V. Jukna, Nail Garejev, G. Valiulis, A. Couairon, and A. Dubietis, “Ultrabroadband supercontinuum and third-harmonic generation in bulk solids with two optical-cycle carrier-envelope phase-stable pulses at 2 μm,” Opt. Express 21, 25210–25220 (2013).
[Crossref]

Kamali, Y.

W. Liu, F. Théberge, J.-F. Daigle, P.T. Simard, S.M. Sarifi, Y. Kamali, H.L. Xu, and S.L. Chin, “An efficient control of ultrashort laser filament location in air for the purpose of remote sensing,” App. Phys. B 85, 55–58 (2006).
[Crossref]

Kandidov, V. P.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O.G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2006).
[Crossref]

Kaškelyte, D.

S. Butkus, D. Paipulas, D. Kaškelytė, E. Gaižauskas, and V. Sirutkaitis, “Improvement of cut quality in rapid-cutting of glass method via femtosecond laser filamentation,” Journal of Laser Micro/Nanoengineering 10, 59–63 (2015).
[Crossref]

Kasparian, J.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
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J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
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A. Valenzuela, C. Munson, A. Porwitzky, M. Weidman, and M. Richardson, “Comparison between geometrically focused pulses versus filaments in femtosecond laser ablation of steel and titanium alloys,” Appl. Phys. B 116, 485–491 (2014).
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Prade, B.

S. Tzortzakis, G. Méchain, G. Patalano, M. Franco, B. Prade, and A. Mysyrowicz, “Concatenation of plasma filaments created in air by femtosecond infrared laser pulses,” Appl. Phys. B 76, 609–612 (2003).
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A. Valenzuela, C. Munson, A. Porwitzky, M. Weidman, and M. Richardson, “Comparison between geometrically focused pulses versus filaments in femtosecond laser ablation of steel and titanium alloys,” Appl. Phys. B 116, 485–491 (2014).
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[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
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[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
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W. Liu, F. Théberge, J.-F. Daigle, P.T. Simard, S.M. Sarifi, Y. Kamali, H.L. Xu, and S.L. Chin, “An efficient control of ultrashort laser filament location in air for the purpose of remote sensing,” App. Phys. B 85, 55–58 (2006).
[Crossref]

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R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
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N. Kaya, M. Sayrac, G. Kaya, J. Strohaber, A. A. Kolomenskii, and H. A. Schuessler, “Filament propagation length of femtosecond pulses with different transverse modes,” arXiv preprint arXiv: 1406.5570 (2014).

Scheller, M.

M. Scheller, M. S. Mills, M.-A. Miri, W. Cheng, J. V. Moloney, M Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nat. Photon. 8, 297–301 (2014).
[Crossref]

Schroeder, H.

N. Kaya, J. Strohaber, A. A. Kolomenskii, G. Kaya, H. Schroeder, and H. A. Schuessler, “White-light generation using spatially-structured beams of femtosecond radiation,” Opt. Express 20, 13337–13346 (2012).
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S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O.G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2006).
[Crossref]

Schuessler, H. A.

N. Kaya, J. Strohaber, A. A. Kolomenskii, G. Kaya, H. Schroeder, and H. A. Schuessler, “White-light generation using spatially-structured beams of femtosecond radiation,” Opt. Express 20, 13337–13346 (2012).
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N. Kaya, M. Sayrac, G. Kaya, J. Strohaber, A. A. Kolomenskii, and H. A. Schuessler, “Filament propagation length of femtosecond pulses with different transverse modes,” arXiv preprint arXiv: 1406.5570 (2014).

Schultze, M.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

Sharifi, M.

Q. Luo, H. L. Xu, S. A. Hosseini, J. F. Daigle, F. Théberge, M. Sharifi, and S. L. Chin, “Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy,” Appl. Phys. B 82, 105–109 (2006).
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Shi, W.

L. He, P. Lan, Q. Zhang, C. Zhai, F. Wang, W. Shi, and P. Lu, “Spectrally resolved spatiotemporal features of quantum paths in high-order harmonic generation,” Phys. Rev. A 92, 043403 (2015).
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Siebert, T.

Silaev, A. A.

N. V. Vvedenskii, A. I. Korytin, V. A. Kostin, A. A. Murzanev, A. A. Silaev, and A. N. Stepanov, “Two-color laser-plasma generation of terahertz radiation using a frequency-tunable half harmonic of a femtosecond pulse,” Phys. Rev. Lett. 112, 055004 (2014).
[Crossref] [PubMed]

Silva, F.

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

Simard, P. Tr.

F. Théberge, W. Liu, P. Tr. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[Crossref]

Simard, P.T.

W. Liu, F. Théberge, J.-F. Daigle, P.T. Simard, S.M. Sarifi, Y. Kamali, H.L. Xu, and S.L. Chin, “An efficient control of ultrashort laser filament location in air for the purpose of remote sensing,” App. Phys. B 85, 55–58 (2006).
[Crossref]

Singh, M.

P. Vasa, M. Singh, R. Bernard, A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Supercontinuum generation in water doped with gold nanoparticles,” Appl. Phys. Lett. 103, 111109 (2013).
[Crossref]

Sirutkaitis, V.

S. Butkus, D. Paipulas, D. Kaškelytė, E. Gaižauskas, and V. Sirutkaitis, “Improvement of cut quality in rapid-cutting of glass method via femtosecond laser filamentation,” Journal of Laser Micro/Nanoengineering 10, 59–63 (2015).
[Crossref]

Skupin, S.

L. Bergé, S. Skupin, C. Köhler, I. Babushkin, and J. Herrmann, “3D numerical simulations of THz generation by two-color laser filaments,” Phys. Rev. A 110, 073901 (2013).

L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101, 213901 (2008).
[Crossref] [PubMed]

L. Bergé and S. Skupin, “Few-cycle light bullets created by femtosecond filaments,” Phys. Rev. Lett. 100, 113902 (2008).
[Crossref] [PubMed]

Song, Z.

Spielmann, C.

D. Walter, S. Eyring, J. Lohbreier, R. Spitzenpfeil, and C. Spielmann, “Spatial optimization of filaments,” Appl. Phys. B 88, 175–178 (2009).
[Crossref]

Spitzenpfeil, R.

D. Walter, S. Eyring, J. Lohbreier, R. Spitzenpfeil, and C. Spielmann, “Spatial optimization of filaments,” Appl. Phys. B 88, 175–178 (2009).
[Crossref]

Squier, J.

Steinmeyer, G.

L. Bergé, S. Skupin, and G. Steinmeyer, “Temporal self-restoration of compressed optical filaments,” Phys. Rev. Lett. 101, 213901 (2008).
[Crossref] [PubMed]

Stelmaszczyk, K.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

Stepanov, A. N.

N. V. Vvedenskii, A. I. Korytin, V. A. Kostin, A. A. Murzanev, A. A. Silaev, and A. N. Stepanov, “Two-color laser-plasma generation of terahertz radiation using a frequency-tunable half harmonic of a femtosecond pulse,” Phys. Rev. Lett. 112, 055004 (2014).
[Crossref] [PubMed]

Strikwerda, A. C

P. Klarskov, A. C Strikwerda, K. Iwaszczuk, and P. U. Jepsen, “Experimental three-dimensional beam profiling and modeling of a terahertz beam generated from a two-color air plasma,” New J. Phys. 15, 075012 (2013).
[Crossref]

Strohaber, J.

N. Kaya, J. Strohaber, A. A. Kolomenskii, G. Kaya, H. Schroeder, and H. A. Schuessler, “White-light generation using spatially-structured beams of femtosecond radiation,” Opt. Express 20, 13337–13346 (2012).
[Crossref] [PubMed]

N. Kaya, M. Sayrac, G. Kaya, J. Strohaber, A. A. Kolomenskii, and H. A. Schuessler, “Filament propagation length of femtosecond pulses with different transverse modes,” arXiv preprint arXiv: 1406.5570 (2014).

Sun, X.

X. Sun, T. Zeng, H. Gao, S. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. B: At. Mol. Opt. Phys. 48, 094004 (2015).
[Crossref]

Tamin, L.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

Tamosauskas, G.

V. Jukna, J. Galinis, G. Tamosauskas, D. Majus, and A. Dubietis, “Infrared extension of femtosecond supercontinuum generated by filamentation in solid-state media,” Appl. Phys. B 116, 477–483 (2014).
[Crossref]

Thai, A.

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

Théberge, F.

W. Liu, F. Théberge, J.-F. Daigle, P.T. Simard, S.M. Sarifi, Y. Kamali, H.L. Xu, and S.L. Chin, “An efficient control of ultrashort laser filament location in air for the purpose of remote sensing,” App. Phys. B 85, 55–58 (2006).
[Crossref]

Q. Luo, H. L. Xu, S. A. Hosseini, J. F. Daigle, F. Théberge, M. Sharifi, and S. L. Chin, “Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy,” Appl. Phys. B 82, 105–109 (2006).
[Crossref]

F. Théberge, W. Liu, P. Tr. Simard, A. Becker, and S. L. Chin, “Plasma density inside a femtosecond laser filament in air: strong dependence on external focusing,” Phys. Rev. E 74, 036406 (2006).
[Crossref]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O.G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2006).
[Crossref]

Turconi, M.

Tzortzakis, S.

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, 5052–5057 (2009).
[Crossref] [PubMed]

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

S. Tzortzakis, G. Méchain, G. Patalano, M. Franco, B. Prade, and A. Mysyrowicz, “Concatenation of plasma filaments created in air by femtosecond infrared laser pulses,” Appl. Phys. B 76, 609–612 (2003).
[Crossref]

Uiberacker, M.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

Valenzuela, A.

A. Valenzuela, C. Munson, A. Porwitzky, M. Weidman, and M. Richardson, “Comparison between geometrically focused pulses versus filaments in femtosecond laser ablation of steel and titanium alloys,” Appl. Phys. B 116, 485–491 (2014).
[Crossref]

Valiulis, G.

Vasa, P.

P. Vasa, M. Singh, R. Bernard, A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Supercontinuum generation in water doped with gold nanoparticles,” Appl. Phys. Lett. 103, 111109 (2013).
[Crossref]

Vázquez de Aldana, J. R.

Vizcaíno, J. P.

Vvedenskii, N. V.

N. V. Vvedenskii, A. I. Korytin, V. A. Kostin, A. A. Murzanev, A. A. Silaev, and A. N. Stepanov, “Two-color laser-plasma generation of terahertz radiation using a frequency-tunable half harmonic of a femtosecond pulse,” Phys. Rev. Lett. 112, 055004 (2014).
[Crossref] [PubMed]

Walter, D.

D. Walter, S. Eyring, J. Lohbreier, R. Spitzenpfeil, and C. Spielmann, “Spatial optimization of filaments,” Appl. Phys. B 88, 175–178 (2009).
[Crossref]

Wang, F.

L. He, P. Lan, Q. Zhang, C. Zhai, F. Wang, W. Shi, and P. Lu, “Spectrally resolved spatiotemporal features of quantum paths in high-order harmonic generation,” Phys. Rev. A 92, 043403 (2015).
[Crossref]

Wang, J.

L. Zhu and J. Wang, Arbitrary manipulation of spatial amplitude and phase using phase-only spatial light modulators, Sci. Rep. 4, 7441 (2014).
[Crossref] [PubMed]

Wang, Z.

J. Zhao, W. Chu, L. Guo, Z. Wang, J. Yang, W. Liu, Y. Cheng, and Z. Xu, “Terahertz imaging with sub-wavelength resolution by femtosecond laser filament in air,” Sci. Rep. 4, 3880 (2014).
[PubMed]

Weidman, M.

A. Valenzuela, C. Munson, A. Porwitzky, M. Weidman, and M. Richardson, “Comparison between geometrically focused pulses versus filaments in femtosecond laser ablation of steel and titanium alloys,” Appl. Phys. B 116, 485–491 (2014).
[Crossref]

Wille, H.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[Crossref] [PubMed]

Woeste, L.

D. Kiselev, L. Woeste, and J.-P. Wolf, “Filament-induced laser machining (FILM),” Appl. Phys. B 100, 515–520 (2010).
[Crossref]

Wolf, J. P.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

Wolf, J.-P.

D. Kiselev, L. Woeste, and J.-P. Wolf, “Filament-induced laser machining (FILM),” Appl. Phys. B 100, 515–520 (2010).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[Crossref] [PubMed]

Wöste, L.

F. Hagemann, O. Gause, L. Wöste, and T. Siebert, “Supercontinuum pulse shaping in the few-cycle regime,” Opt. Express 21, 5536–5549 (2013).
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R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[Crossref] [PubMed]

Xu, H. L.

H. L. Xu and S. L. Chin, “Femtosecond laser filamentation for atmospheric sensing,” Sensors 11, 32–53 (2011).
[Crossref]

Q. Luo, H. L. Xu, S. A. Hosseini, J. F. Daigle, F. Théberge, M. Sharifi, and S. L. Chin, “Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy,” Appl. Phys. B 82, 105–109 (2006).
[Crossref]

Xu, H.L.

W. Liu, F. Théberge, J.-F. Daigle, P.T. Simard, S.M. Sarifi, Y. Kamali, H.L. Xu, and S.L. Chin, “An efficient control of ultrashort laser filament location in air for the purpose of remote sensing,” App. Phys. B 85, 55–58 (2006).
[Crossref]

Xu, Z.

J. Zhao, W. Chu, L. Guo, Z. Wang, J. Yang, W. Liu, Y. Cheng, and Z. Xu, “Terahertz imaging with sub-wavelength resolution by femtosecond laser filament in air,” Sci. Rep. 4, 3880 (2014).
[PubMed]

Yakovlev, V. S.

E. Goulielmakis, M. Schultze, M. Hofstetter, V. S. Yakovlev, J. Gagnon, M. Uiberacker, A. L. Aquila, E. M. Gullikson, D. T. Attwood, R. Kienberger, F. Krausz, and U. Kleineberg, ”Single-Cycle Nonlinear Optics,” Science 320, 1614–1617 (2008).
[Crossref] [PubMed]

Yang, J.

J. Zhao, W. Chu, L. Guo, Z. Wang, J. Yang, W. Liu, Y. Cheng, and Z. Xu, “Terahertz imaging with sub-wavelength resolution by femtosecond laser filament in air,” Sci. Rep. 4, 3880 (2014).
[PubMed]

Yu, C. X.

Z. F. Feng, W. Li, C. X. Yu, X. Liu, J. Liu, and L. B. Fu, “Extended laser filamentation in air generated by femtosecond annular Gaussian beams,” Phys. Rev. A 91, 033839 (2015).
[Crossref]

Yu, J.

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y.-B. André, A. Mysyrowicz, R. Sauerbrey, J.-P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301, 61–64 (2003).
[Crossref] [PubMed]

Zeng, T.

X. Sun, T. Zeng, H. Gao, S. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. B: At. Mol. Opt. Phys. 48, 094004 (2015).
[Crossref]

Zhai, C.

L. He, P. Lan, Q. Zhang, C. Zhai, F. Wang, W. Shi, and P. Lu, “Spectrally resolved spatiotemporal features of quantum paths in high-order harmonic generation,” Phys. Rev. A 92, 043403 (2015).
[Crossref]

Zhang, P.

M. Li, P. Zhang, S. Luo, Y. Zhou, Q. Zhang, P. Lan, and P. Lu, “Selective enhancement of resonant multiphoton ionization with strong laser fields,” Phys. Rev. A 92, 063404 (2015).
[Crossref]

Zhang, Q.

M. Li, P. Zhang, S. Luo, Y. Zhou, Q. Zhang, P. Lan, and P. Lu, “Selective enhancement of resonant multiphoton ionization with strong laser fields,” Phys. Rev. A 92, 063404 (2015).
[Crossref]

L. He, P. Lan, Q. Zhang, C. Zhai, F. Wang, W. Shi, and P. Lu, “Spectrally resolved spatiotemporal features of quantum paths in high-order harmonic generation,” Phys. Rev. A 92, 043403 (2015).
[Crossref]

Z. Hong, Q. Zhang, P. Lan, and P. Lu, ”Generation of few-cycle infrared pulses from a degenerate dual-pump OPCPA,” Opt. Express 22, 5544–5557 (2014).
[Crossref] [PubMed]

L. He, Y. Li, Q. Zhang, and P. Lu, “Ultra-broadband water window supercontinuum generation with high efficiency in a three-color laser field,” Opt. Express 21, 2683–2692 (2013).
[Crossref] [PubMed]

Zhang, S.

X. Sun, T. Zeng, H. Gao, S. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. B: At. Mol. Opt. Phys. 48, 094004 (2015).
[Crossref]

Zhang, Z.

Zhao, J.

J. Zhao, W. Chu, L. Guo, Z. Wang, J. Yang, W. Liu, Y. Cheng, and Z. Xu, “Terahertz imaging with sub-wavelength resolution by femtosecond laser filament in air,” Sci. Rep. 4, 3880 (2014).
[PubMed]

Zhou, B.

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).
[Crossref]

Zhou, Y.

X. Ma, Y. Zhou, and P. Lu, “Multiple recollisions in strong-field nonsequential double ionization,” Phys. Rev. A 93, 013425 (2016).
[Crossref]

M. Li, P. Zhang, S. Luo, Y. Zhou, Q. Zhang, P. Lan, and P. Lu, “Selective enhancement of resonant multiphoton ionization with strong laser fields,” Phys. Rev. A 92, 063404 (2015).
[Crossref]

Zhu, L.

L. Zhu and J. Wang, Arbitrary manipulation of spatial amplitude and phase using phase-only spatial light modulators, Sci. Rep. 4, 7441 (2014).
[Crossref] [PubMed]

App. Phys. B (1)

W. Liu, F. Théberge, J.-F. Daigle, P.T. Simard, S.M. Sarifi, Y. Kamali, H.L. Xu, and S.L. Chin, “An efficient control of ultrashort laser filament location in air for the purpose of remote sensing,” App. Phys. B 85, 55–58 (2006).
[Crossref]

Appl. Phys. B (8)

M. Bradler, P. Baum, and E. Riedle, “Femtosecond continuum generation in bulk laser host materials with sub-μJ pump pulses,” Appl. Phys. B 97, 561–574 (2009).
[Crossref]

S. Tzortzakis, G. Méchain, G. Patalano, M. Franco, B. Prade, and A. Mysyrowicz, “Concatenation of plasma filaments created in air by femtosecond infrared laser pulses,” Appl. Phys. B 76, 609–612 (2003).
[Crossref]

V. Jukna, J. Galinis, G. Tamosauskas, D. Majus, and A. Dubietis, “Infrared extension of femtosecond supercontinuum generated by filamentation in solid-state media,” Appl. Phys. B 116, 477–483 (2014).
[Crossref]

Q. Luo, H. L. Xu, S. A. Hosseini, J. F. Daigle, F. Théberge, M. Sharifi, and S. L. Chin, “Remote sensing of pollutants using femtosecond laser pulse fluorescence spectroscopy,” Appl. Phys. B 82, 105–109 (2006).
[Crossref]

R. Ackermann, G. Méchain, G. Méjean, R. Bourayou, M. Rodriguez, K. Stelmaszczyk, J. Kasparian, J. Yu, E. Salmon, S. Tzortzakis, Y. B. André, J. F. Bourrillon, L. Tamin, J. P. Cascelli, C. Campo, C. Davoise, A. Mysyrowicz, R. Sauerbrey, L. Wöste, and J. P. Wolf, ”Influence of negative leader propagation on the triggering and guiding of high voltage discharges by laser filaments,” Appl. Phys. B 82, 561–566 (2006).
[Crossref]

D. Walter, S. Eyring, J. Lohbreier, R. Spitzenpfeil, and C. Spielmann, “Spatial optimization of filaments,” Appl. Phys. B 88, 175–178 (2009).
[Crossref]

D. Kiselev, L. Woeste, and J.-P. Wolf, “Filament-induced laser machining (FILM),” Appl. Phys. B 100, 515–520 (2010).
[Crossref]

A. Valenzuela, C. Munson, A. Porwitzky, M. Weidman, and M. Richardson, “Comparison between geometrically focused pulses versus filaments in femtosecond laser ablation of steel and titanium alloys,” Appl. Phys. B 116, 485–491 (2014).
[Crossref]

Appl. Phys. Lett. (1)

P. Vasa, M. Singh, R. Bernard, A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Supercontinuum generation in water doped with gold nanoparticles,” Appl. Phys. Lett. 103, 111109 (2013).
[Crossref]

Can. J. Phys. (1)

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O.G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in optical media: physics, applications, and new challenges,” Can. J. Phys. 83, 863–905 (2006).
[Crossref]

Eur. Phys. J. Special Topics (1)

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioners guide to laser pulse propagation models and simulation,” Eur. Phys. J. Special Topics 199, 5–76 (2011).
[Crossref]

J. Phys. B: At. Mol. Opt. Phys. (2)

M. Mills, M. Heinrich, M. Kolesik, and D. Christodoulides, “Extending optical filaments using auxiliary dress beams,” J. Phys. B: At. Mol. Opt. Phys. 48, 094014 (2015).
[Crossref]

X. Sun, T. Zeng, H. Gao, S. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. B: At. Mol. Opt. Phys. 48, 094004 (2015).
[Crossref]

Journal of Laser Micro/Nanoengineering (1)

S. Butkus, D. Paipulas, D. Kaškelytė, E. Gaižauskas, and V. Sirutkaitis, “Improvement of cut quality in rapid-cutting of glass method via femtosecond laser filamentation,” Journal of Laser Micro/Nanoengineering 10, 59–63 (2015).
[Crossref]

Nat. Photon. (1)

M. Scheller, M. S. Mills, M.-A. Miri, W. Cheng, J. V. Moloney, M Kolesik, P. Polynkin, and D. N. Christodoulides, “Externally refuelled optical filaments,” Nat. Photon. 8, 297–301 (2014).
[Crossref]

Nature Commun. (1)

F. Silva, D. R. Austin, A. Thai, M. Baudisch, M. Hemmer, D. Faccio, A. Couairon, and J. Biegert, “Multi-octave supercontinuum generation from mid-infrared fiamentation in a bulk crystal,” Nature Commun. 3, 807 (2012).
[Crossref]

New J. Phys. (1)

P. Klarskov, A. C Strikwerda, K. Iwaszczuk, and P. U. Jepsen, “Experimental three-dimensional beam profiling and modeling of a terahertz beam generated from a two-color air plasma,” New J. Phys. 15, 075012 (2013).
[Crossref]

Opt. Commun. (1)

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).
[Crossref]

Opt. Express (8)

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, 5052–5057 (2009).
[Crossref] [PubMed]

Z. Song, Z. Zhang, and T. Nakajima, “Transverse-mode dependence of femtosecond filamentation,” Opt. Express 17, 12217–12229 (2009).
[Crossref] [PubMed]

Z. Song and T. 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).
[Crossref] [PubMed]

N. Kaya, J. Strohaber, A. A. Kolomenskii, G. Kaya, H. Schroeder, and H. A. Schuessler, “White-light generation using spatially-structured beams of femtosecond radiation,” Opt. Express 20, 13337–13346 (2012).
[Crossref] [PubMed]

L. He, Y. Li, Q. Zhang, and P. Lu, “Ultra-broadband water window supercontinuum generation with high efficiency in a three-color laser field,” Opt. Express 21, 2683–2692 (2013).
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S. L. Chin and K. Miyazaki, “A comment on lightning control using a femtosecond laser,” Jpn. J. Appl. Phys.38 (2011).

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Figures (6)

Fig. 1
Fig. 1 Concept of the scheme.
Fig. 2
Fig. 2 Modulated amplitude (a) and phase (b) of a multi-focal-length beam.
Fig. 3
Fig. 3 (a) On-axis peak intensity, (b) plasma density, and (c) fluence evolutions of the multi-focal-length filamentation in comparison with the single lens scheme. The peak intensity and plasma density of single lens schemes are compared in (a) and (b), in which the focal lengths are 1.1 m, 1.3 m, and 1.5 m for the red, blue, and green lines, respectively. White lines in (c) indicate the beam radius during propagation.
Fig. 4
Fig. 4 Tunability of the multi-focal-length scheme by changing (a) input pulse energy and (b) effective focal lengths. (c). Blue line: energy 4 mJ, focal length 1.0∼1.8 m with 0.2-m interval, red line: energy 5 mJ, focal length 1.0∼2.2 m with 0.3-m interval, purple line: energy 5 mJ, focal length 1.0∼2.6 m with 0.4-m interval.
Fig. 5
Fig. 5 The temporal distribution of the pulse with respect to the propagation distance in the multi-focal-length scheme (a) and single-lens scheme (b).
Fig. 6
Fig. 6 (a). Black line is the initial spectrum, blue and red lines are the output spectra in multi-focal-length scheme and single-lens scheme, respectively. (b) and (c). Temporal shape (blue solid lines) and phase (red lines) of the output pulses in multi-focal-length scheme and single lens scheme, respectively. The FWHM duration of the transform limited pulses (blue dashed lines) are 8.2 fs and 20.1 fs, respectively.

Equations (9)

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exp [ i ϕ ( r ) ] = exp ( i k 0 r 2 / 2 f ) ,
A SLM ( r ) exp [ i ϕ SLM ( r ) ] = n A n exp ( i k 0 r 2 / 2 f n ) ,
A SLM ( r ) = | n A n exp ( i k 0 r 2 / 2 f n ) | , exp [ i ϕ SLM ( r ) ] = n A n exp ( i k 0 r 2 / 2 f n ) / A SLM ( r ) .
A ( r ) = | n = 1 5 A n exp [ i k 0 r 2 / 2 ( 1 + 0.1 n ) ] | , exp [ i ϕ ( r ) ] = n = 1 5 A n exp [ i k 0 r 2 / 2 ( 1 + 0.1 n ) ] / A ( r ) ,
ε ( r , t , z = 0 ) = A ( r ) exp ( r 2 / ω r 2 ) exp ( t 2 / τ 0 2 ) exp [ i ϕ ( r ) ] ,
z ε = i 2 k 0 T 1 Δ ε + l = 2 4 i k ( l ) l ! l t l ε + i k 0 n 2 n 0 T [ ( 1 f ) | ε ( t ) | 2 + f t R ( t t ) | ε ( t ) | 2 d t ] ε i k 0 2 n 0 2 ρ c T 1 ρ ε ε 2 ( σ ρ + m = O 2 , N 2 β K m | ε | 2 K m 2 ) .
t ρ l = W ( I ) ( ρ at , l ρ l ) + σ U i , l ρ l I α ρ l 2 , l = O 2 , N 2 ,
ρ = ρ O 2 + ρ N 2 .
ε ( r , t , z + d z ) = ε ( r , t , z ) exp [ N ( ε ) d z ] ,

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