Abstract

We propose theoretically various kinds of filaments via the Mathieu modulation. Our results indicate curved filaments, in-phase and out-of-phase quasi-solitons and nonlinear light bullets can be formed successfully in air. Through calculated initial Mathieu accelerating beam (MAB), curved filament is able to propagate along a predesigned elliptical trajectory. By transforming the MAB into an axial symmetrical structure with in-phase and out-of-phase modulations, we obtain two kinds of quasi-solitons in air, respectively. The latter case can even propagate in a breathing fashion. With a ring structure of MAB, we successfully form a light bullet in air that generates a chain of intensity peaks over extended distances. These unique filaments can offer significant advantages for numerous applications, such as micro engineering of materials, THz radiation generation and attosecond physics.

© 2017 Optical Society of America

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2016 (8)

Z. Feng, W. Li, C. Yu, X. Liu, Y. Liu, J. Liu, and L. Fu, “Influence of the external focusing and the pulse parameters on the propagation of femtosecond annular Gaussian filaments in air,” Opt. Express 24(6), 6381–6390 (2016).
[Crossref] [PubMed]

V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
[Crossref] [PubMed]

Y. Qian and S. Zhang, “Quasi-Airy beams along tunable propagation trajectories and directions,” Opt. Express 24(9), 9489–9500 (2016).
[Crossref] [PubMed]

M. Shen, W. Li, and R. K. Lee, “Control on the anomalous interactions of Airy beams in nematic liquid crystals,” Opt. Express 24(8), 8501–8511 (2016).
[Crossref] [PubMed]

Y. Hu, J. Nie, K. Sun, X. Dou, X. Chen, and L. Wang, “Filamentation of femtosecond laser pulses with amplitude modulation of a diffraction-free beam,” J. Mod. Opt. 64, 1–6 (2016).
[Crossref]

D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
[Crossref]

Y. Hu, J. Nie, K. Sun, J. Bian, X. Dou, and L. Wang, “Generation of periodic filament arrays in air through two-dimensional acousto-optic modulation,” J. Opt. Soc. Am. B 33(10), 2144–2148 (2016).
[Crossref]

M. Shen, W. Li, and R. K. Lee, “Control on the anomalous interactions of Airy beams in nematic liquid crystals,” Opt. Express 24(8), 8501–8511 (2016).
[Crossref] [PubMed]

2015 (9)

P. Panagiotopoulos, P. Whalen, M. Kolesik, and J. V. Moloney, “Super high power mid-infrared femtosecond light bullet,” Nat. Photonics 9(8), 543–548 (2015).
[Crossref]

N. A. Panov, D. E. Shipilo, V. A. Andreeva, D. S. Uryupina, A. B. Savel’ev, O. G. Kosareva, and S. L. Chin, “Robust near-infrared light bullet in 800-nm femtosecond light filaments in air,” Appl. Phys. B 120(3), 383–387 (2015).
[Crossref]

M. Shen, J. Gao, and L. Ge, “Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media,” Sci. Rep. 5(1), 9814 (2015).
[Crossref] [PubMed]

B. Chen, C. Chen, X. Peng, Y. Peng, M. Zhou, and D. Deng, “Propagation of sharply autofocused ring Airy Gaussian vortex beams,” Opt. Express 23(15), 19288–19298 (2015).
[Crossref] [PubMed]

C. Ruiz-Jiménez, K. Z. Nóbrega, and M. A. Porras, “On the dynamics of Airy beams in nonlinear media with nonlinear losses,” Opt. Express 23(7), 8918–8928 (2015).
[Crossref] [PubMed]

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
[Crossref]

H. Liang, P. Krogen, R. Grynko, O. Novak, C. L. Chang, G. J. Stein, D. Weerawarne, B. Shim, F. X. Kärtner, and K. H. Hong, “Three-octave-spanning supercontinuum generation and sub-two-cycle self-compression of mid-infrared filaments in dielectrics,” Opt. Lett. 40(6), 1069–1072 (2015).
[Crossref] [PubMed]

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

P. Wei, X. Yuan, C. Liu, Z. Zeng, Y. Zheng, J. Jiang, X. Ge, and R. Li, “Enhanced high-order harmonic generation from spatially prepared filamentation in argon,” Opt. Express 23(13), 17229–17236 (2015).
[Crossref] [PubMed]

2014 (4)

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
[Crossref]

R. Driben, V. V. Konotop, and T. Meier, “Coupled Airy breathers,” Opt. Lett. 39(19), 5523–5526 (2014).
[Crossref] [PubMed]

I. M. Allayarov and E. N. Tsoy, “Dynamics of Airy beams in nonlinear media,” Phys. Rev. A 90(2), 023852 (2014).
[Crossref]

N. Wiersma, N. Marsal, M. Sciamanna, and D. Wolfersberger, “All-optical interconnects using Airy beams,” Opt. Lett. 39(20), 5997–6000 (2014).
[Crossref] [PubMed]

2013 (3)

2012 (10)

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

J.-K. Park, J.-W. Yoon, K.-H. Whang, and S.-H. Cho, “Removal of nanoparticles on silicon wafer using a self-channeled plasma filament,” Appl. Phys., A Mater. Sci. Process. 108(2), 269–274 (2012).
[Crossref]

C. Ament, M. Kolesik, J. V. Moloney, and P. Polynkin, “Self-focusing dynamics of ultraintense accelerating Airy waveforms in water,” Phys. Rev. A 86(4), 043842 (2012).
[Crossref]

W. J. Liu, X. Lin, L. H. Pang, and X. W. Song, “Multiple refocusing in BK9 glass generated by a loosely focused high-intensity femtosecond pulse,” Opt. Eng. 51(9), 099001 (2012).
[Crossref]

X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85(1), 013815 (2012).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, “Nondiffracting Accelerating Wave Packets of Maxwell’s Equations,” Phys. Rev. Lett. 108(16), 163901 (2012).
[Crossref] [PubMed]

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, “Generation of linear and nonlinear nonparaxial accelerating beams,” Opt. Lett. 37(14), 2820–2822 (2012).
[Crossref] [PubMed]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber Accelerating Beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

P. Aleahmad, M.-A. Miri, M. S. Mills, I. Kaminer, M. Segev, and D. N. Christodoulides, “Fully Vectorial Accelerating Diffraction-Free Helmholtz Beams,” Phys. Rev. Lett. 109(20), 203902 (2012).
[Crossref] [PubMed]

2011 (4)

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Spec. Top. 199, 5–76 (2011).
[Crossref]

R. Chen and C. Ying, “Beam propagation factor of an Airy beam,” J. Opt. 13(13), 459–462 (2011).

A. Rudnick and D. M. Marom, “Airy-soliton interactions in Kerr media,” Opt. Express 19(25), 25570–25582 (2011).
[Crossref] [PubMed]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84, 021807 (2011).
[Crossref]

2010 (3)

2009 (3)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

B. G. Bale and J. N. Kutz, “Analytic theory of parabolic pulses in dissipative systems with rapidly varying mean-zero dispersion,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(4), 046602 (2009).
[Crossref] [PubMed]

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

2008 (3)

2007 (1)

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2-4), 47–189 (2007).
[Crossref]

2006 (1)

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long-range interactions between optical solitons,” Nat. Phys. 2(11), 769–774 (2006).
[Crossref]

2005 (3)

S. Champeaux and L. Bergé, “Postionization regimes of femtosecond laser pulses self-channeling in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(4), 046604 (2005).
[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]

A. Vinçotte and L. Bergé, “Femtosecond Optical Vortices in Air,” Phys. Rev. Lett. 95(19), 193901 (2005).
[Crossref] [PubMed]

2004 (3)

M. Kolesik and J. V. Moloney, “Nonlinear optical pulse propagation simulation: From Maxwell’s to unidirectional equations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(3), 036604 (2004).
[Crossref] [PubMed]

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “Routing of anisotropic spatial solitons and modulational instability in liquid crystals,” Nature 432(7018), 733–737 (2004).
[Crossref] [PubMed]

2002 (3)

M. Rodriguez, R. Sauerbrey, H. Wille, L. Wöste, T. Fujii, Y.-B. André, A. Mysyrowicz, L. Klingbeil, K. Rethmeier, W. Kalkner, J. Kasparian, E. Salmon, J. Yu, and J.-P. Wolf, “Triggering and guiding megavolt discharges by use of laser-induced ionized filaments,” Opt. Lett. 27(9), 772–774 (2002).
[Crossref] [PubMed]

M. Kolesik, J. V. Moloney, and M. Mlejnek, “Unidirectional Optical Pulse Propagation Equation,” Phys. Rev. Lett. 89(28), 283902 (2002).
[Crossref] [PubMed]

N. Aközbek, A. Iwasaki, A. Becker, M. Scalora, S. L. Chin, and C. M. Bowden, “Third-harmonic generation and self-channeling in air using high-power femtosecond laser pulses,” Phys. Rev. Lett. 89(14), 143901 (2002).
[Crossref] [PubMed]

2000 (1)

1997 (1)

1995 (1)

Abdollahpour, D.

A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, S. Tzortzakis, F. Courvoisier, and J. M. Dudley, “Ultrashort laser pulse filamentation with Airy and Bessel beams,” Proc. SPIE 8770, 87701E (2013).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84, 021807 (2011).
[Crossref]

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy Light Bullets in the Linear and Nonlinear Regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
[Crossref] [PubMed]

Ackermann, R.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

Aközbek, N.

N. Aközbek, A. Iwasaki, A. Becker, M. Scalora, S. L. Chin, and C. M. Bowden, “Third-harmonic generation and self-channeling in air using high-power femtosecond laser pulses,” Phys. Rev. Lett. 89(14), 143901 (2002).
[Crossref] [PubMed]

Aleahmad, P.

P. Aleahmad, M.-A. Miri, M. S. Mills, I. Kaminer, M. Segev, and D. N. Christodoulides, “Fully Vectorial Accelerating Diffraction-Free Helmholtz Beams,” Phys. Rev. Lett. 109(20), 203902 (2012).
[Crossref] [PubMed]

Alfassi, B.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long-range interactions between optical solitons,” Nat. Phys. 2(11), 769–774 (2006).
[Crossref]

Allayarov, I. M.

I. M. Allayarov and E. N. Tsoy, “Dynamics of Airy beams in nonlinear media,” Phys. Rev. A 90(2), 023852 (2014).
[Crossref]

Ament, C.

C. Ament, M. Kolesik, J. V. Moloney, and P. Polynkin, “Self-focusing dynamics of ultraintense accelerating Airy waveforms in water,” Phys. Rev. A 86(4), 043842 (2012).
[Crossref]

Anania, M. P.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
[Crossref]

André, Y.-B.

Andreeva, V. A.

V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
[Crossref] [PubMed]

D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
[Crossref]

N. A. Panov, D. E. Shipilo, V. A. Andreeva, D. S. Uryupina, A. B. Savel’ev, O. G. Kosareva, and S. L. Chin, “Robust near-infrared light bullet in 800-nm femtosecond light filaments in air,” Appl. Phys. B 120(3), 383–387 (2015).
[Crossref]

Arévalo, E.

Assanto, G.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “Routing of anisotropic spatial solitons and modulational instability in liquid crystals,” Nature 432(7018), 733–737 (2004).
[Crossref] [PubMed]

Bale, B. G.

B. G. Bale and J. N. Kutz, “Analytic theory of parabolic pulses in dissipative systems with rapidly varying mean-zero dispersion,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(4), 046602 (2009).
[Crossref] [PubMed]

Becker, A.

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]

N. Aközbek, A. Iwasaki, A. Becker, M. Scalora, S. L. Chin, and C. M. Bowden, “Third-harmonic generation and self-channeling in air using high-power femtosecond laser pulses,” Phys. Rev. Lett. 89(14), 143901 (2002).
[Crossref] [PubMed]

Bekenstein, R.

I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, “Nondiffracting Accelerating Wave Packets of Maxwell’s Equations,” Phys. Rev. Lett. 108(16), 163901 (2012).
[Crossref] [PubMed]

Belic, M.

Bergé, L.

V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
[Crossref] [PubMed]

S. Champeaux and L. Bergé, “Postionization regimes of femtosecond laser pulses self-channeling in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(4), 046604 (2005).
[Crossref] [PubMed]

A. Vinçotte and L. Bergé, “Femtosecond Optical Vortices in Air,” Phys. Rev. Lett. 95(19), 193901 (2005).
[Crossref] [PubMed]

L. Bergé, M. R. Schmidt, J. J. Rasmussen, P. L. Christiansen, and K. Ø. Rasmussen, “Amalgamation of interacting light beamlets in Kerr-type media,” J. Opt. Soc. Am. B 14(10), 2550–2562 (1997).
[Crossref]

Bergmann, V.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

Bernhardt, J.

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Berti, N.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
[Crossref]

Bian, J.

Bowden, C. M.

N. Aközbek, A. Iwasaki, A. Becker, M. Scalora, S. L. Chin, and C. M. Bowden, “Third-harmonic generation and self-channeling in air using high-power femtosecond laser pulses,” Phys. Rev. Lett. 89(14), 143901 (2002).
[Crossref] [PubMed]

Brambilla, E.

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Spec. Top. 199, 5–76 (2011).
[Crossref]

Braun, A.

Broky, J.

Cannan, D.

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, “Generation of linear and nonlinear nonparaxial accelerating beams,” Opt. Lett. 37(14), 2820–2822 (2012).
[Crossref] [PubMed]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber Accelerating Beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

Chagas, J.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
[Crossref]

Chakraborty, H. S.

A. Couairon, H. S. Chakraborty, and M. B. Gaarde, “From single-cycle self-compressed filaments to isolated attosecond pulses in noble gases,” Phys. Rev. A 77(5), 053814 (2008).
[Crossref]

Champeaux, S.

S. Champeaux and L. Bergé, “Postionization regimes of femtosecond laser pulses self-channeling in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(4), 046604 (2005).
[Crossref] [PubMed]

Chang, C. L.

Chávez-Cerda, S.

Chen, B.

Chen, C.

Chen, R.

X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85(1), 013815 (2012).
[Crossref]

R. Chen and C. Ying, “Beam propagation factor of an Airy beam,” J. Opt. 13(13), 459–462 (2011).

Chen, X.

Y. Hu, J. Nie, K. Sun, X. Dou, X. Chen, and L. Wang, “Filamentation of femtosecond laser pulses with amplitude modulation of a diffraction-free beam,” J. Mod. Opt. 64, 1–6 (2016).
[Crossref]

Chen, Z.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber Accelerating Beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, “Generation of linear and nonlinear nonparaxial accelerating beams,” Opt. Lett. 37(14), 2820–2822 (2012).
[Crossref] [PubMed]

Y. Hu, P. Zhang, C. Lou, S. Huang, J. Xu, and Z. Chen, “Optimal control of the ballistic motion of Airy beams,” Opt. Lett. 35(13), 2260–2262 (2010).
[Crossref] [PubMed]

Y. Hu, P. Zhang, C. Lou, S. Huang, J. Xu, and Z. Chen, “Optimal control of the ballistic motion of Airy beams,” Opt. Lett. 35(13), 2260–2262 (2010).
[Crossref] [PubMed]

Cheng, Y.

Chin, S. L.

D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
[Crossref]

V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
[Crossref] [PubMed]

N. A. Panov, D. E. Shipilo, V. A. Andreeva, D. S. Uryupina, A. B. Savel’ev, O. G. Kosareva, and S. L. Chin, “Robust near-infrared light bullet in 800-nm femtosecond light filaments in air,” Appl. Phys. B 120(3), 383–387 (2015).
[Crossref]

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

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]

N. Aközbek, A. Iwasaki, A. Becker, M. Scalora, S. L. Chin, and C. M. Bowden, “Third-harmonic generation and self-channeling in air using high-power femtosecond laser pulses,” Phys. Rev. Lett. 89(14), 143901 (2002).
[Crossref] [PubMed]

Cho, S.-H.

J.-K. Park, J.-W. Yoon, K.-H. Whang, and S.-H. Cho, “Removal of nanoparticles on silicon wafer using a self-channeled plasma filament,” Appl. Phys., A Mater. Sci. Process. 108(2), 269–274 (2012).
[Crossref]

Christiansen, P. L.

Christodoulides, D. N.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

P. Aleahmad, M.-A. Miri, M. S. Mills, I. Kaminer, M. Segev, and D. N. Christodoulides, “Fully Vectorial Accelerating Diffraction-Free Helmholtz Beams,” Phys. Rev. Lett. 109(20), 203902 (2012).
[Crossref] [PubMed]

P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324(5924), 229–232 (2009).
[Crossref] [PubMed]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Ballistic dynamics of Airy beams,” Opt. Lett. 33(3), 207–209 (2008).
[Crossref] [PubMed]

J. Broky, G. A. Siviloglou, A. Dogariu, and D. N. Christodoulides, “Self-healing properties of optical Airy beams,” Opt. Express 16(17), 12880–12891 (2008).
[Crossref] [PubMed]

Chu, W.

Chu, X.

X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85(1), 013815 (2012).
[Crossref]

Clerici, M.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Cohen, O.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long-range interactions between optical solitons,” Nat. Phys. 2(11), 769–774 (2006).
[Crossref]

Conti, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “Routing of anisotropic spatial solitons and modulational instability in liquid crystals,” Nature 432(7018), 733–737 (2004).
[Crossref] [PubMed]

Corti, T.

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Spec. Top. 199, 5–76 (2011).
[Crossref]

Couairon, A.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, S. Tzortzakis, F. Courvoisier, and J. M. Dudley, “Ultrashort laser pulse filamentation with Airy and Bessel beams,” Proc. SPIE 8770, 87701E (2013).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84, 021807 (2011).
[Crossref]

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Spec. Top. 199, 5–76 (2011).
[Crossref]

A. Couairon, H. S. Chakraborty, and M. B. Gaarde, “From single-cycle self-compressed filaments to isolated attosecond pulses in noble gases,” Phys. Rev. A 77(5), 053814 (2008).
[Crossref]

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2-4), 47–189 (2007).
[Crossref]

Courvoisier, F.

A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, S. Tzortzakis, F. Courvoisier, and J. M. Dudley, “Ultrashort laser pulse filamentation with Airy and Bessel beams,” Proc. SPIE 8770, 87701E (2013).
[Crossref]

Dan, D.

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
[Crossref]

de J. Ramírez-Góngora, O.

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Spec. Top. 199, 5–76 (2011).
[Crossref]

De Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “Routing of anisotropic spatial solitons and modulational instability in liquid crystals,” Nature 432(7018), 733–737 (2004).
[Crossref] [PubMed]

Deng, D.

Di Pirro, G.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
[Crossref]

Dogariu, A.

Dou, X.

Y. Hu, J. Nie, K. Sun, J. Bian, X. Dou, and L. Wang, “Generation of periodic filament arrays in air through two-dimensional acousto-optic modulation,” J. Opt. Soc. Am. B 33(10), 2144–2148 (2016).
[Crossref]

Y. Hu, J. Nie, K. Sun, X. Dou, X. Chen, and L. Wang, “Filamentation of femtosecond laser pulses with amplitude modulation of a diffraction-free beam,” J. Mod. Opt. 64, 1–6 (2016).
[Crossref]

Driben, R.

Du, D.

Dudley, J. M.

A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, S. Tzortzakis, F. Courvoisier, and J. M. Dudley, “Ultrashort laser pulse filamentation with Airy and Bessel beams,” Proc. SPIE 8770, 87701E (2013).
[Crossref]

Esaulkov, M. N.

V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
[Crossref] [PubMed]

Faccio, D.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, S. Tzortzakis, F. Courvoisier, and J. M. Dudley, “Ultrashort laser pulse filamentation with Airy and Bessel beams,” Proc. SPIE 8770, 87701E (2013).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84, 021807 (2011).
[Crossref]

Feng, Z.

Ferrario, M.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
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Fu, L.

Fujii, T.

Gaarde, M. B.

A. Couairon, H. S. Chakraborty, and M. B. Gaarde, “From single-cycle self-compressed filaments to isolated attosecond pulses in noble gases,” Phys. Rev. A 77(5), 053814 (2008).
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Gao, H.

Gao, J.

M. Shen, J. Gao, and L. Ge, “Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media,” Sci. Rep. 5(1), 9814 (2015).
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Gatti, G.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
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Ge, L.

M. Shen, J. Gao, and L. Ge, “Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media,” Sci. Rep. 5(1), 9814 (2015).
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Ge, X.

Ghigo, A.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
[Crossref]

González de Alaiza Martínez, P.

V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
[Crossref] [PubMed]

Gravel, J. F.

Grynko, R.

Gutiérrez-Vega, J. C.

Henin, S.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
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Hong, K. H.

Hu, Y.

Y. Hu, J. Nie, K. Sun, J. Bian, X. Dou, and L. Wang, “Generation of periodic filament arrays in air through two-dimensional acousto-optic modulation,” J. Opt. Soc. Am. B 33(10), 2144–2148 (2016).
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Y. Hu, J. Nie, K. Sun, X. Dou, X. Chen, and L. Wang, “Filamentation of femtosecond laser pulses with amplitude modulation of a diffraction-free beam,” J. Mod. Opt. 64, 1–6 (2016).
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M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber Accelerating Beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, “Generation of linear and nonlinear nonparaxial accelerating beams,” Opt. Lett. 37(14), 2820–2822 (2012).
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Y. Hu, P. Zhang, C. Lou, S. Huang, J. Xu, and Z. Chen, “Optimal control of the ballistic motion of Airy beams,” Opt. Lett. 35(13), 2260–2262 (2010).
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Y. Hu, P. Zhang, C. Lou, S. Huang, J. Xu, and Z. Chen, “Optimal control of the ballistic motion of Airy beams,” Opt. Lett. 35(13), 2260–2262 (2010).
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Huang, S.

Ionin, A. A.

D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
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Iturbe-Castillo, M. D.

Iwasaki, A.

N. Aközbek, A. Iwasaki, A. Becker, M. Scalora, S. L. Chin, and C. M. Bowden, “Third-harmonic generation and self-channeling in air using high-power femtosecond laser pulses,” Phys. Rev. Lett. 89(14), 143901 (2002).
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Ji, Z.

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Jiang, J.

Jiang, Y.

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Ju, J.

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Kalkner, W.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

M. Rodriguez, R. Sauerbrey, H. Wille, L. Wöste, T. Fujii, Y.-B. André, A. Mysyrowicz, L. Klingbeil, K. Rethmeier, W. Kalkner, J. Kasparian, E. Salmon, J. Yu, and J.-P. Wolf, “Triggering and guiding megavolt discharges by use of laser-induced ionized filaments,” Opt. Lett. 27(9), 772–774 (2002).
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Kaminer, I.

P. Aleahmad, M.-A. Miri, M. S. Mills, I. Kaminer, M. Segev, and D. N. Christodoulides, “Fully Vectorial Accelerating Diffraction-Free Helmholtz Beams,” Phys. Rev. Lett. 109(20), 203902 (2012).
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I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, “Nondiffracting Accelerating Wave Packets of Maxwell’s Equations,” Phys. Rev. Lett. 108(16), 163901 (2012).
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Kandidov, V. P.

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Kärtner, F. X.

Kasparian, J.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
[Crossref]

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

M. Rodriguez, R. Sauerbrey, H. Wille, L. Wöste, T. Fujii, Y.-B. André, A. Mysyrowicz, L. Klingbeil, K. Rethmeier, W. Kalkner, J. Kasparian, E. Salmon, J. Yu, and J.-P. Wolf, “Triggering and guiding megavolt discharges by use of laser-induced ionized filaments,” Opt. Lett. 27(9), 772–774 (2002).
[Crossref] [PubMed]

Klingbeil, L.

Kolesik, M.

P. Panagiotopoulos, P. Whalen, M. Kolesik, and J. V. Moloney, “Super high power mid-infrared femtosecond light bullet,” Nat. Photonics 9(8), 543–548 (2015).
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C. Ament, M. Kolesik, J. V. Moloney, and P. Polynkin, “Self-focusing dynamics of ultraintense accelerating Airy waveforms in water,” Phys. Rev. A 86(4), 043842 (2012).
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A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Spec. Top. 199, 5–76 (2011).
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P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324(5924), 229–232 (2009).
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M. Kolesik and J. V. Moloney, “Nonlinear optical pulse propagation simulation: From Maxwell’s to unidirectional equations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(3), 036604 (2004).
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M. Kolesik, J. V. Moloney, and M. Mlejnek, “Unidirectional Optical Pulse Propagation Equation,” Phys. Rev. Lett. 89(28), 283902 (2002).
[Crossref] [PubMed]

Konotop, V. V.

Korn, G.

Kosareva, O. G.

D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
[Crossref]

V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
[Crossref] [PubMed]

N. A. Panov, D. E. Shipilo, V. A. Andreeva, D. S. Uryupina, A. B. Savel’ev, O. G. Kosareva, and S. L. Chin, “Robust near-infrared light bullet in 800-nm femtosecond light filaments in air,” Appl. Phys. B 120(3), 383–387 (2015).
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O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Krogen, P.

Kumm, T.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
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Kutz, J. N.

B. G. Bale and J. N. Kutz, “Analytic theory of parabolic pulses in dissipative systems with rapidly varying mean-zero dispersion,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 79(4), 046602 (2009).
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Lassonde, P.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Lee, R. K.

Légaré, F.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Lei, M.

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
[Crossref]

Leng, Y.

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Li, M.

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
[Crossref]

Li, R.

P. Wei, X. Yuan, C. Liu, Z. Zeng, Y. Zheng, J. Jiang, X. Ge, and R. Li, “Enhanced high-order harmonic generation from spatially prepared filamentation in argon,” Opt. Express 23(13), 17229–17236 (2015).
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O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Li, T.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber Accelerating Beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
[Crossref] [PubMed]

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, “Generation of linear and nonlinear nonparaxial accelerating beams,” Opt. Lett. 37(14), 2820–2822 (2012).
[Crossref] [PubMed]

Li, W.

Li, Y.

Liang, H.

Liang, X.

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Lin, X.

W. J. Liu, X. Lin, L. H. Pang, and X. W. Song, “Multiple refocusing in BK9 glass generated by a loosely focused high-intensity femtosecond pulse,” Opt. Eng. 51(9), 099001 (2012).
[Crossref]

Liu, C.

Liu, J.

Z. Feng, W. Li, C. Yu, X. Liu, Y. Liu, J. Liu, and L. Fu, “Influence of the external focusing and the pulse parameters on the propagation of femtosecond annular Gaussian filaments in air,” Opt. Express 24(6), 6381–6390 (2016).
[Crossref] [PubMed]

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Liu, W.

Liu, W. J.

W. J. Liu, X. Lin, L. H. Pang, and X. W. Song, “Multiple refocusing in BK9 glass generated by a loosely focused high-intensity femtosecond pulse,” Opt. Eng. 51(9), 099001 (2012).
[Crossref]

Liu, X.

Liu, Y.

Lotti, A.

A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, S. Tzortzakis, F. Courvoisier, and J. M. Dudley, “Ultrashort laser pulse filamentation with Airy and Bessel beams,” Proc. SPIE 8770, 87701E (2013).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84, 021807 (2011).
[Crossref]

Lou, C.

Lu, K.

Lu, X.

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Majus, D.

A. Couairon, E. Brambilla, T. Corti, D. Majus, O. de J. Ramírez-Góngora, and M. Kolesik, “Practitioner’s guide to laser pulse propagation models and simulation,” Eur. Phys. J. Spec. Top. 199, 5–76 (2011).
[Crossref]

Makarov, V. A.

V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
[Crossref] [PubMed]

Marom, D. M.

Marsal, N.

Matthews, M.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
[Crossref]

Méchain, G.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

Meier, T.

Méjean, G.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

Milián, C.

M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
[Crossref] [PubMed]

Mills, M. S.

P. Aleahmad, M.-A. Miri, M. S. Mills, I. Kaminer, M. Segev, and D. N. Christodoulides, “Fully Vectorial Accelerating Diffraction-Free Helmholtz Beams,” Phys. Rev. Lett. 109(20), 203902 (2012).
[Crossref] [PubMed]

Min, J.

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
[Crossref]

Miri, M.-A.

P. Aleahmad, M.-A. Miri, M. S. Mills, I. Kaminer, M. Segev, and D. N. Christodoulides, “Fully Vectorial Accelerating Diffraction-Free Helmholtz Beams,” Phys. Rev. Lett. 109(20), 203902 (2012).
[Crossref] [PubMed]

Mlejnek, M.

M. Kolesik, J. V. Moloney, and M. Mlejnek, “Unidirectional Optical Pulse Propagation Equation,” Phys. Rev. Lett. 89(28), 283902 (2002).
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Mokrousova, D. V.

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P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324(5924), 229–232 (2009).
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Y. Hu, J. Nie, K. Sun, X. Dou, X. Chen, and L. Wang, “Filamentation of femtosecond laser pulses with amplitude modulation of a diffraction-free beam,” J. Mod. Opt. 64, 1–6 (2016).
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Y. Hu, J. Nie, K. Sun, J. Bian, X. Dou, and L. Wang, “Generation of periodic filament arrays in air through two-dimensional acousto-optic modulation,” J. Opt. Soc. Am. B 33(10), 2144–2148 (2016).
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P. Panagiotopoulos, P. Whalen, M. Kolesik, and J. V. Moloney, “Super high power mid-infrared femtosecond light bullet,” Nat. Photonics 9(8), 543–548 (2015).
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A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, S. Tzortzakis, F. Courvoisier, and J. M. Dudley, “Ultrashort laser pulse filamentation with Airy and Bessel beams,” Proc. SPIE 8770, 87701E (2013).
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P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
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P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
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W. J. Liu, X. Lin, L. H. Pang, and X. W. Song, “Multiple refocusing in BK9 glass generated by a loosely focused high-intensity femtosecond pulse,” Opt. Eng. 51(9), 099001 (2012).
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V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
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N. A. Panov, D. E. Shipilo, V. A. Andreeva, D. S. Uryupina, A. B. Savel’ev, O. G. Kosareva, and S. L. Chin, “Robust near-infrared light bullet in 800-nm femtosecond light filaments in air,” Appl. Phys. B 120(3), 383–387 (2015).
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O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
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A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, S. Tzortzakis, F. Courvoisier, and J. M. Dudley, “Ultrashort laser pulse filamentation with Airy and Bessel beams,” Proc. SPIE 8770, 87701E (2013).
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P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
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P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84, 021807 (2011).
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D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy Light Bullets in the Linear and Nonlinear Regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
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J.-K. Park, J.-W. Yoon, K.-H. Whang, and S.-H. Cho, “Removal of nanoparticles on silicon wafer using a self-channeled plasma filament,” Appl. Phys., A Mater. Sci. Process. 108(2), 269–274 (2012).
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M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “Routing of anisotropic spatial solitons and modulational instability in liquid crystals,” Nature 432(7018), 733–737 (2004).
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C. Ament, M. Kolesik, J. V. Moloney, and P. Polynkin, “Self-focusing dynamics of ultraintense accelerating Airy waveforms in water,” Phys. Rev. A 86(4), 043842 (2012).
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P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324(5924), 229–232 (2009).
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Qian, Y.

Rasmussen, J. J.

Rasmussen, K. Ø.

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M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
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R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
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Savel’ev, A. B.

D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
[Crossref]

N. A. Panov, D. E. Shipilo, V. A. Andreeva, D. S. Uryupina, A. B. Savel’ev, O. G. Kosareva, and S. L. Chin, “Robust near-infrared light bullet in 800-nm femtosecond light filaments in air,” Appl. Phys. B 120(3), 383–387 (2015).
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I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, “Nondiffracting Accelerating Wave Packets of Maxwell’s Equations,” Phys. Rev. Lett. 108(16), 163901 (2012).
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C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, “Long-range interactions between optical solitons,” Nat. Phys. 2(11), 769–774 (2006).
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D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
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O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
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Shim, B.

Shipilo, D. E.

D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
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N. A. Panov, D. E. Shipilo, V. A. Andreeva, D. S. Uryupina, A. B. Savel’ev, O. G. Kosareva, and S. L. Chin, “Robust near-infrared light bullet in 800-nm femtosecond light filaments in air,” Appl. Phys. B 120(3), 383–387 (2015).
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V. A. Andreeva, O. G. Kosareva, N. A. Panov, D. E. Shipilo, P. M. Solyankin, M. N. Esaulkov, P. González de Alaiza Martínez, A. P. Shkurinov, V. A. Makarov, L. Bergé, and S. L. Chin, “Ultrabroad Terahertz Spectrum Generation from an Air-Based Filament Plasma,” Phys. Rev. Lett. 116(6), 063902 (2016).
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Solyankin, P. M.

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W. J. Liu, X. Lin, L. H. Pang, and X. W. Song, “Multiple refocusing in BK9 glass generated by a loosely focused high-intensity femtosecond pulse,” Opt. Eng. 51(9), 099001 (2012).
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Squier, J.

Stein, G. J.

Stelmaszczyk, K.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
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Y. Hu, J. Nie, K. Sun, J. Bian, X. Dou, and L. Wang, “Generation of periodic filament arrays in air through two-dimensional acousto-optic modulation,” J. Opt. Soc. Am. B 33(10), 2144–2148 (2016).
[Crossref]

Y. Hu, J. Nie, K. Sun, X. Dou, X. Chen, and L. Wang, “Filamentation of femtosecond laser pulses with amplitude modulation of a diffraction-free beam,” J. Mod. Opt. 64, 1–6 (2016).
[Crossref]

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D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
[Crossref]

Suntsov, S.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy Light Bullets in the Linear and Nonlinear Regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
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A. Couairon, A. Lotti, P. Panagiotopoulos, D. Abdollahpour, D. Faccio, D. G. Papazoglou, S. Tzortzakis, F. Courvoisier, and J. M. Dudley, “Ultrashort laser pulse filamentation with Airy and Bessel beams,” Proc. SPIE 8770, 87701E (2013).
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P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
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P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
[Crossref]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84, 021807 (2011).
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D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, “Spatiotemporal Airy Light Bullets in the Linear and Nonlinear Regimes,” Phys. Rev. Lett. 105(25), 253901 (2010).
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M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “Routing of anisotropic spatial solitons and modulational instability in liquid crystals,” Nature 432(7018), 733–737 (2004).
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N. A. Panov, D. E. Shipilo, V. A. Andreeva, D. S. Uryupina, A. B. Savel’ev, O. G. Kosareva, and S. L. Chin, “Robust near-infrared light bullet in 800-nm femtosecond light filaments in air,” Appl. Phys. B 120(3), 383–387 (2015).
[Crossref]

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M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
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Y. Hu, J. Nie, K. Sun, X. Dou, X. Chen, and L. Wang, “Filamentation of femtosecond laser pulses with amplitude modulation of a diffraction-free beam,” J. Mod. Opt. 64, 1–6 (2016).
[Crossref]

Y. Hu, J. Nie, K. Sun, J. Bian, X. Dou, and L. Wang, “Generation of periodic filament arrays in air through two-dimensional acousto-optic modulation,” J. Opt. Soc. Am. B 33(10), 2144–2148 (2016).
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H. Gao, W. Chu, G. Yu, B. Zeng, J. Zhao, Z. Wang, W. Liu, Y. Cheng, and Z. Xu, “Femtosecond laser filament array generated with step phase plate in air,” Opt. Express 21(4), 4612–4622 (2013).
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O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
[Crossref]

Weerawarne, D.

Wei, P.

Weise, B.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

Whalen, P.

P. Panagiotopoulos, P. Whalen, M. Kolesik, and J. V. Moloney, “Super high power mid-infrared femtosecond light bullet,” Nat. Photonics 9(8), 543–548 (2015).
[Crossref]

Whang, K.-H.

J.-K. Park, J.-W. Yoon, K.-H. Whang, and S.-H. Cho, “Removal of nanoparticles on silicon wafer using a self-channeled plasma filament,” Appl. Phys., A Mater. Sci. Process. 108(2), 269–274 (2012).
[Crossref]

Wiersma, N.

Wille, H.

Wolf, J. P.

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
[Crossref]

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

Wolf, J.-P.

Wolfersberger, D.

Wöste, L.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
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Wu, Z.

Xu, J.

Xu, Z.

H. Gao, W. Chu, G. Yu, B. Zeng, J. Zhao, Z. Wang, W. Liu, Y. Cheng, and Z. Xu, “Femtosecond laser filament array generated with step phase plate in air,” Opt. Express 21(4), 4612–4622 (2013).
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O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
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Yan, S.

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
[Crossref]

Yang, Y.

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
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Yao, B.

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
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Yin, X.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber Accelerating Beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
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Ying, C.

R. Chen and C. Ying, “Beam propagation factor of an Airy beam,” J. Opt. 13(13), 459–462 (2011).

Yoon, J.-W.

J.-K. Park, J.-W. Yoon, K.-H. Whang, and S.-H. Cho, “Removal of nanoparticles on silicon wafer using a self-channeled plasma filament,” Appl. Phys., A Mater. Sci. Process. 108(2), 269–274 (2012).
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Yu, C.

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Yu, J.

R. Ackermann, K. Stelmaszczyk, P. Rohwetter, G. Méjean, E. Salmon, J. Yu, J. Kasparian, G. Méchain, V. Bergmann, S. Schaper, B. Weise, T. Kumm, K. Rethmeier, W. Kalkner, L. Wöste, and J. P. Wolf, “Triggering and guiding of megavolt discharges by laser-induced filaments under rain conditions,” Appl. Phys. Lett. 85(23), 5781–5783 (2004).
[Crossref]

M. Rodriguez, R. Sauerbrey, H. Wille, L. Wöste, T. Fujii, Y.-B. André, A. Mysyrowicz, L. Klingbeil, K. Rethmeier, W. Kalkner, J. Kasparian, E. Salmon, J. Yu, and J.-P. Wolf, “Triggering and guiding megavolt discharges by use of laser-induced ionized filaments,” Opt. Lett. 27(9), 772–774 (2002).
[Crossref] [PubMed]

Yu, X.

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
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Yuan, X.

Zeng, B.

Zeng, Z.

Zhang, P.

Zhang, S.

Zhang, X.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, “Nonparaxial Mathieu and Weber Accelerating Beams,” Phys. Rev. Lett. 109(19), 193901 (2012).
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P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, “Generation of linear and nonlinear nonparaxial accelerating beams,” Opt. Lett. 37(14), 2820–2822 (2012).
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Appl. Phys. B (2)

M. Petrarca, S. Henin, N. Berti, M. Matthews, J. Chagas, J. Kasparian, J. P. Wolf, G. Gatti, G. Di Pirro, M. P. Anania, M. Ferrario, and A. Ghigo, “White-light femtosecond Lidar at 100 TW power level,” Appl. Phys. B 114(3), 319–325 (2014).
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Appl. Phys., A Mater. Sci. Process. (1)

J.-K. Park, J.-W. Yoon, K.-H. Whang, and S.-H. Cho, “Removal of nanoparticles on silicon wafer using a self-channeled plasma filament,” Appl. Phys., A Mater. Sci. Process. 108(2), 269–274 (2012).
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Eur. Phys. J. Spec. Top. (1)

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Y. Hu, J. Nie, K. Sun, X. Dou, X. Chen, and L. Wang, “Filamentation of femtosecond laser pulses with amplitude modulation of a diffraction-free beam,” J. Mod. Opt. 64, 1–6 (2016).
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R. Chen and C. Ying, “Beam propagation factor of an Airy beam,” J. Opt. 13(13), 459–462 (2011).

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Laser Phys. (1)

O. G. Kosareva, W. Liu, N. A. Panov, J. Bernhardt, Z. Ji, M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju, X. Lu, Y. Jiang, Y. Leng, X. Liang, V. P. Kandidov, and S. L. Chin, “Can we reach very high intensity in air with femtosecond PW laser pulses?” Laser Phys. 19(8), 1776–1792 (2009).
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Laser Phys. Lett. (1)

D. E. Shipilo, N. A. Panov, E. S. Sunchugasheva, D. V. Mokrousova, V. A. Andreeva, O. G. Kosareva, L. V. Seleznev, A. B. Savel’ev, A. A. Ionin, and S. L. Chin, “Fusion of regularized femtosecond filaments in air: far field on-axis emission,” Laser Phys. Lett. 13(11), 116005 (2016).
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Nat. Photonics (1)

P. Panagiotopoulos, P. Whalen, M. Kolesik, and J. V. Moloney, “Super high power mid-infrared femtosecond light bullet,” Nat. Photonics 9(8), 543–548 (2015).
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A. Rudnick and D. M. Marom, “Airy-soliton interactions in Kerr media,” Opt. Express 19(25), 25570–25582 (2011).
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H. Gao, W. Chu, G. Yu, B. Zeng, J. Zhao, Z. Wang, W. Liu, Y. Cheng, and Z. Xu, “Femtosecond laser filament array generated with step phase plate in air,” Opt. Express 21(4), 4612–4622 (2013).
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C. Ruiz-Jiménez, K. Z. Nóbrega, and M. A. Porras, “On the dynamics of Airy beams in nonlinear media with nonlinear losses,” Opt. Express 23(7), 8918–8928 (2015).
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B. Chen, C. Chen, X. Peng, Y. Peng, M. Zhou, and D. Deng, “Propagation of sharply autofocused ring Airy Gaussian vortex beams,” Opt. Express 23(15), 19288–19298 (2015).
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Z. Feng, W. Li, C. Yu, X. Liu, Y. Liu, J. Liu, and L. Fu, “Influence of the external focusing and the pulse parameters on the propagation of femtosecond annular Gaussian filaments in air,” Opt. Express 24(6), 6381–6390 (2016).
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M. Shen, W. Li, and R. K. Lee, “Control on the anomalous interactions of Airy beams in nematic liquid crystals,” Opt. Express 24(8), 8501–8511 (2016).
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M. Shen, W. Li, and R. K. Lee, “Control on the anomalous interactions of Airy beams in nematic liquid crystals,” Opt. Express 24(8), 8501–8511 (2016).
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Y. Qian and S. Zhang, “Quasi-Airy beams along tunable propagation trajectories and directions,” Opt. Express 24(9), 9489–9500 (2016).
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Y. Zhang, M. Belić, Z. Wu, H. Zheng, K. Lu, Y. Li, and Y. Zhang, “Soliton pair generation in the interactions of airy and nonlinear accelerating beams,” Opt. Lett. 38(22), 4585–4588 (2013).
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P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, “Generation of linear and nonlinear nonparaxial accelerating beams,” Opt. Lett. 37(14), 2820–2822 (2012).
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Phys. Lett. A (1)

S. Yan, M. Li, B. Yao, X. Yu, M. Lei, D. Dan, Y. Yang, J. Min, and T. Peng, “Accelerating nondiffracting beams,” Phys. Lett. A 379(12-13), 983–987 (2015).
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Phys. Rep. (1)

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Phys. Rev. A (7)

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, “Stationary nonlinear Airy beams,” Phys. Rev. A 84, 021807 (2011).
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P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
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I. M. Allayarov and E. N. Tsoy, “Dynamics of Airy beams in nonlinear media,” Phys. Rev. A 90(2), 023852 (2014).
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X. Chu, G. Zhou, and R. Chen, “Analytical study of the self-healing property of Airy beams,” Phys. Rev. A 85(1), 013815 (2012).
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P. Panagiotopoulos, D. Abdollahpour, A. Lotti, A. Couairon, D. Faccio, D. G. Papazoglou, and S. Tzortzakis, “Nonlinear propagation dynamics of finite-energy Airy beams,” Phys. Rev. A 86(1), 013842 (2012).
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M. Kolesik and J. V. Moloney, “Nonlinear optical pulse propagation simulation: From Maxwell’s to unidirectional equations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(3), 036604 (2004).
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Proc. SPIE (1)

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M. Clerici, Y. Hu, P. Lassonde, C. Milián, A. Couairon, D. N. Christodoulides, Z. Chen, L. Razzari, F. Vidal, F. Légaré, D. Faccio, and R. Morandotti, “Laser-assisted guiding of electric discharges around objects,” Sci. Adv. 1(5), e1400111 (2015).
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Science (1)

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Figures (10)

Fig. 1
Fig. 1 (a) Illustration of elliptical trajectory associated with MABs; (b) Amplitudes of the MABs in the y direction at z=0(normalized), case 1 to case 3 corresponding to three different semiaxes a=4,2,1mm, respectively.
Fig. 2
Fig. 2 Left column, 2D representations of the filament intensity in transverse plane (x=0,y) as a function of propagation distancez. Top to bottom, cases of MABs with (a) case 1, (b) case 2, (c) case 3 in the y direction as sketched in Fig. 1.
Fig. 3
Fig. 3 Displacements of the main lobes for three cases (left column) and peak intensities for three cases (right column) as a function of propagation distance.
Fig. 4
Fig. 4 The calculated transverse energy flow at different distances of (a) z=10 cm (b) z=20 cm and (c) z=25 cm for the case 2. The arrows indicate the direction of the energy flux while its strength is proportional to arrow lengths and widths. The x=0position is marked the black dashed line.
Fig. 5
Fig. 5 Amplitude of the in-phase and out-of-phase MABs in the y direction. (a) in-phase amplitude modulation, (b) out-of-phase amplitude modulation.
Fig. 6
Fig. 6 Propagations of quasi-solitons formed by filaments in air for two cases. The first row, the in-phase case. The second row, the out-of-phase case. Left column, cross-sectional intensity profiles I( 0,y,z )of the beams. Right column, cross-sectional phase distributions of the beams. The x=0plane is marked by the red dashed line.
Fig. 7
Fig. 7 3D surface plots of plasma strings in cases of (a) in-phase case and (b) out-of-phase case.
Fig. 8
Fig. 8 Beam patterns at different locations along the propagation direction for the in-phase quasi-soliton [(a)-(d)] and out-of-phase quasi-soliton [(e)-(h)].
Fig. 9
Fig. 9 Simulation results of forming light bullet via ring MAB. (a) Schematic diagram of energy evolution process in the linear regime. (b) Schematic diagram of energy evolution process in the nonlinear regime. (c) Peak intensity distribution of ring MAB in the linear regime. (d) Peak intensity distribution of ring MAB in the nonlinear regime.
Fig. 10
Fig. 10 Spatiotemporal evolution of intensity distribution of the filament at six propagation distances. (a)- (f) correspond to the distances at z=0.8,1.0,1.2,1.4,1.6,and1.8m, respectively.

Equations (10)

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E ^ ω, k z =i K ω 0 ( ω, k ) E ^ ω, k +i Q ω 0 ( ω )( P ω, k ε 0 + i ω J ω, k ε 0 ).
K ω0 ( ω,k , x k y )= k 2 ( ω ) k x 2 k y 2 .
P( τ,x,y,z )=2 n 0 n 2 ε 0 | E | 2 E.
J( τ,x,y,z )=cσ ε 0 ( 1+i ω 0 τ c )ρE+c n 0 ε 0 β K ( 1 ρ ρ nt ) | E | 2K2 E.
ρ t = β ( K ) K w 0 | E | 2K ( 1 ρ ρ nt )+ σ U i ρ | E | 2 .
d 2 R( ξ ) d ξ 2 =( β2qcosh2ξ )R( ξ ),
d 2 Θ( η ) d η 2 =( β2qcos2η )Θ( η ).
M( ξ,η,z=0 )={ m=0 A mq C e m ( ξ,q )c e m ( η,q )(even) m=0 B mq S e m ( ξ,q )s e m ( η,q )(odd)
M(y,z=0)=exp( αy )H( -y- m 2 2q /k ) ×C e m ( Re( arccosh( i ( y+ m 2 2q /k )/h ) );q ).
E( x,y,z=0,t )= I 0 M(y,z=0)exp( x 2 / r 0 2 )exp( t 2 / t p 2 ).

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