Abstract

Femtosecond filamentation inside a periodic lattice in air is numerically shown to form intense dynamic bullets. The long propagation distance of the bullet structure is primarily attributed to the effect of the lattice that regulates the competition between linear and nonlinear spatiotemporal effects in the region of normal dispersion.

© 2011 OSA

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    [CrossRef]

2010 (3)

A. Chong, W. H. Renninger, D. N. Christodoulides, F. Wise, “AiryBessel wave packets as versatile linear light bullets,” Nature Photon. 4, 103–106 (2010).
[CrossRef]

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

P. Panagiotopoulos, N. K. Efremidis, D. G. Papazoglou, A. Couairon, S. Tzortzakis, “Tailoring the filamentation of intense femtosecond laser pulses with periodic lattices,” Phys. Rev. A 82, 061803 (2010).
[CrossRef]

2009 (3)

2007 (3)

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

N. K. Efremidis, K. Hizanidis, B. A. Malomed, P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[CrossRef] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76, 011803R (2007).
[CrossRef]

2006 (3)

A. A. Sukhorukov, Y. S. Kivshar, “Slow-light optical bullets in arrays of nonlinear Bragg-grating waveguides,” Phys. Rev. Lett. 97, 233901 (2006).
[CrossRef]

H. S. Chakraborty, M.B. Gaarde, A. Couairon, “Single attosecond pulses from high harmonics driven by self-compressed filaments,” Opt. Lett. 31, 3662–3664 (2006).
[CrossRef] [PubMed]

A. Couairon, E. Gaiauskas, D. Faccio, A. Dubietis, P. Di Trapani, “Nonlinear X-wave formation by femtosecond filamentation in Kerr media,” Phys. Rev. E 73, 016608 (2006).
[CrossRef]

2005 (3)

A. Szameit, D. Blmer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express 13, 10552–10557 (2005).
[CrossRef] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable spatiotemporal solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).
[CrossRef] [PubMed]

B. A. Malomed, D. Mihalache, F. Wise, L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quantum Semiclassical Opt. 7, R53 (2005).
[CrossRef]

2004 (3)

G. Fibich, B. Ilan, “Optical light bullets in a pure Kerr medium,” Opt. Lett. 29, 887–889 (2004).
[CrossRef] [PubMed]

B. B. Baizakov, B. A. Malomed, M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A 70, 053613 (2004).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E 70, 055603 (2004).
[CrossRef]

2003 (4)

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef] [PubMed]

A. Couairon, “Light bullets from femtosecond filamentation,” Eur. Phys. J. D 27, 159–167 (2003).
[CrossRef]

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

M. Leibscher, I. Sh. Averbukh, H. Rabitz, “Molecular Alignment by Trains of Short Laser Pulses,” Phys. Rev. Lett. 90, 213001 (2003).
[CrossRef] [PubMed]

2002 (1)

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

1999 (1)

X. Liu, L. J. Qian, F. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

1994 (2)

1992 (1)

1990 (1)

1985 (1)

S. K. Turitsyn, “Spatial dispersion of nonlinearity and stability of multidimensional solitons,” Theor. Math. Phys. 64, 226–232 (1985).
[CrossRef]

1965 (1)

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965).
[CrossRef]

Abdollahpour, D.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, S. Tzortzakis, “Femtosecond laser induced plasma diffraction gratings in air as photonic devices for high intensity laser applications,” Appl. Phys. Lett. 94, 251104 (2009).
[CrossRef]

Aceves, A. B.

Averbukh, I. Sh.

M. Leibscher, I. Sh. Averbukh, H. Rabitz, “Molecular Alignment by Trains of Short Laser Pulses,” Phys. Rev. Lett. 90, 213001 (2003).
[CrossRef] [PubMed]

Averchi, A.

Baizakov, B. B.

B. B. Baizakov, B. A. Malomed, M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A 70, 053613 (2004).
[CrossRef]

Blmer, D.

Bonaretti, F.

Burghoff, J.

Buryak, A. V.

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

Chakraborty, H. S.

Chong, A.

A. Chong, W. H. Renninger, D. N. Christodoulides, F. Wise, “AiryBessel wave packets as versatile linear light bullets,” Nature Photon. 4, 103–106 (2010).
[CrossRef]

Christodoulides, D. N.

A. Chong, W. H. Renninger, D. N. Christodoulides, F. Wise, “AiryBessel wave packets as versatile linear light bullets,” Nature Photon. 4, 103–106 (2010).
[CrossRef]

Conti, C.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef] [PubMed]

Couairon, A.

P. Panagiotopoulos, N. K. Efremidis, D. G. Papazoglou, A. Couairon, S. Tzortzakis, “Tailoring the filamentation of intense femtosecond laser pulses with periodic lattices,” Phys. Rev. A 82, 061803 (2010).
[CrossRef]

J. M. Manceau, A. Averchi, F. Bonaretti, D. Faccio, P. Di Trapani, A. Couairon, S. Tzortzakis, “Terahertz pulse emission optimization from tailored femtosecond laser pulse filamentation in air,” Opt. Lett. 34, 2165–2167 (2009).
[CrossRef] [PubMed]

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

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76, 011803R (2007).
[CrossRef]

H. S. Chakraborty, M.B. Gaarde, A. Couairon, “Single attosecond pulses from high harmonics driven by self-compressed filaments,” Opt. Lett. 31, 3662–3664 (2006).
[CrossRef] [PubMed]

A. Couairon, E. Gaiauskas, D. Faccio, A. Dubietis, P. Di Trapani, “Nonlinear X-wave formation by femtosecond filamentation in Kerr media,” Phys. Rev. E 73, 016608 (2006).
[CrossRef]

A. Couairon, “Light bullets from femtosecond filamentation,” Eur. Phys. J. D 27, 159–167 (2003).
[CrossRef]

Crasovan, L.-C.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable spatiotemporal solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).
[CrossRef] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E 70, 055603 (2004).
[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

De Angelis, C.

Di Trapani, P.

J. M. Manceau, A. Averchi, F. Bonaretti, D. Faccio, P. Di Trapani, A. Couairon, S. Tzortzakis, “Terahertz pulse emission optimization from tailored femtosecond laser pulse filamentation in air,” Opt. Lett. 34, 2165–2167 (2009).
[CrossRef] [PubMed]

N. K. Efremidis, K. Hizanidis, B. A. Malomed, P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[CrossRef] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76, 011803R (2007).
[CrossRef]

A. Couairon, E. Gaiauskas, D. Faccio, A. Dubietis, P. Di Trapani, “Nonlinear X-wave formation by femtosecond filamentation in Kerr media,” Phys. Rev. E 73, 016608 (2006).
[CrossRef]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef] [PubMed]

Ding, L.

Dubietis, A.

A. Couairon, E. Gaiauskas, D. Faccio, A. Dubietis, P. Di Trapani, “Nonlinear X-wave formation by femtosecond filamentation in Kerr media,” Phys. Rev. E 73, 016608 (2006).
[CrossRef]

Edmundson, D. E.

Efremidis, N. K.

P. Panagiotopoulos, N. K. Efremidis, D. G. Papazoglou, A. Couairon, S. Tzortzakis, “Tailoring the filamentation of intense femtosecond laser pulses with periodic lattices,” Phys. Rev. A 82, 061803 (2010).
[CrossRef]

N. K. Efremidis, K. Hizanidis, B. A. Malomed, P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[CrossRef] [PubMed]

Enns, R. H.

Faccio, D.

J. M. Manceau, A. Averchi, F. Bonaretti, D. Faccio, P. Di Trapani, A. Couairon, S. Tzortzakis, “Terahertz pulse emission optimization from tailored femtosecond laser pulse filamentation in air,” Opt. Lett. 34, 2165–2167 (2009).
[CrossRef] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76, 011803R (2007).
[CrossRef]

A. Couairon, E. Gaiauskas, D. Faccio, A. Dubietis, P. Di Trapani, “Nonlinear X-wave formation by femtosecond filamentation in Kerr media,” Phys. Rev. E 73, 016608 (2006).
[CrossRef]

Fibich, G.

Franco, M.

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

Gaarde, M.B.

Gaiauskas, E.

A. Couairon, E. Gaiauskas, D. Faccio, A. Dubietis, P. Di Trapani, “Nonlinear X-wave formation by femtosecond filamentation in Kerr media,” Phys. Rev. E 73, 016608 (2006).
[CrossRef]

Hizanidis, K.

N. K. Efremidis, K. Hizanidis, B. A. Malomed, P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[CrossRef] [PubMed]

Ilan, B.

Jedrkiewicz, O.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef] [PubMed]

Kartashov, Y. V.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable spatiotemporal solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).
[CrossRef] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E 70, 055603 (2004).
[CrossRef]

Kelley, P. L.

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965).
[CrossRef]

Kivshar, Y. S.

A. A. Sukhorukov, Y. S. Kivshar, “Slow-light optical bullets in arrays of nonlinear Bragg-grating waveguides,” Phys. Rev. Lett. 97, 233901 (2006).
[CrossRef]

Lederer, F.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable spatiotemporal solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).
[CrossRef] [PubMed]

A. Szameit, D. Blmer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, “Discrete nonlinear localization in femtosecond laser written waveguides in fused silica,” Opt. Express 13, 10552–10557 (2005).
[CrossRef] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E 70, 055603 (2004).
[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

Leibscher, M.

M. Leibscher, I. Sh. Averbukh, H. Rabitz, “Molecular Alignment by Trains of Short Laser Pulses,” Phys. Rev. Lett. 90, 213001 (2003).
[CrossRef] [PubMed]

Liu, X.

X. Liu, L. J. Qian, F. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Lu, P.

Luther, G. G.

Malomed, B. A.

N. K. Efremidis, K. Hizanidis, B. A. Malomed, P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[CrossRef] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable spatiotemporal solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).
[CrossRef] [PubMed]

B. A. Malomed, D. Mihalache, F. Wise, L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quantum Semiclassical Opt. 7, R53 (2005).
[CrossRef]

B. B. Baizakov, B. A. Malomed, M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A 70, 053613 (2004).
[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

Manceau, J. M.

Mazilu, D.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable spatiotemporal solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).
[CrossRef] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E 70, 055603 (2004).
[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

Mechain, G.

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

Mihalache, D.

B. A. Malomed, D. Mihalache, F. Wise, L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quantum Semiclassical Opt. 7, R53 (2005).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable spatiotemporal solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).
[CrossRef] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E 70, 055603 (2004).
[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

Moloney, J. V.

Mysyrowicz, A.

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

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

Newell, A. C.

Nolte, S.

Panagiotopoulos, P.

P. Panagiotopoulos, N. K. Efremidis, D. G. Papazoglou, A. Couairon, S. Tzortzakis, “Tailoring the filamentation of intense femtosecond laser pulses with periodic lattices,” Phys. Rev. A 82, 061803 (2010).
[CrossRef]

Papazoglou, D. G.

P. Panagiotopoulos, N. K. Efremidis, D. G. Papazoglou, A. Couairon, S. Tzortzakis, “Tailoring the filamentation of intense femtosecond laser pulses with periodic lattices,” Phys. Rev. A 82, 061803 (2010).
[CrossRef]

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, S. Tzortzakis, “Femtosecond laser induced plasma diffraction gratings in air as photonic devices for high intensity laser applications,” Appl. Phys. Lett. 94, 251104 (2009).
[CrossRef]

Parola, A.

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76, 011803R (2007).
[CrossRef]

Patalano, G.

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

Peng, Y.

Pertsch, T.

Piskarskas, A.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef] [PubMed]

Porras, M. A.

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76, 011803R (2007).
[CrossRef]

Prade, B.

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

Qian, L. J.

X. Liu, L. J. Qian, F. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Rabitz, H.

M. Leibscher, I. Sh. Averbukh, H. Rabitz, “Molecular Alignment by Trains of Short Laser Pulses,” Phys. Rev. Lett. 90, 213001 (2003).
[CrossRef] [PubMed]

Renninger, W. H.

A. Chong, W. H. Renninger, D. N. Christodoulides, F. Wise, “AiryBessel wave packets as versatile linear light bullets,” Nature Photon. 4, 103–106 (2010).
[CrossRef]

Rubenchik, A. M.

Salerno, M.

B. B. Baizakov, B. A. Malomed, M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A 70, 053613 (2004).
[CrossRef]

Schreiber, T.

Silberberg, Y.

Sukhorukov, A. A.

A. A. Sukhorukov, Y. S. Kivshar, “Slow-light optical bullets in arrays of nonlinear Bragg-grating waveguides,” Phys. Rev. Lett. 97, 233901 (2006).
[CrossRef]

Suntsov, S.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, S. Tzortzakis, “Femtosecond laser induced plasma diffraction gratings in air as photonic devices for high intensity laser applications,” Appl. Phys. Lett. 94, 251104 (2009).
[CrossRef]

Szameit, A.

Tong, Y.

Torner, L.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable spatiotemporal solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).
[CrossRef] [PubMed]

B. A. Malomed, D. Mihalache, F. Wise, L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quantum Semiclassical Opt. 7, R53 (2005).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E 70, 055603 (2004).
[CrossRef]

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

Torres, J. P.

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

Towers, I.

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

Trillo, S.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef] [PubMed]

Trull, J.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef] [PubMed]

Tünnermann, A.

Turitsyn, S. K.

A. B. Aceves, C. De Angelis, A. M. Rubenchik, S. K. Turitsyn, “Multidimensional solitons in fiber arrays,” Opt. Lett. 19, 329–331 (1994).
[CrossRef] [PubMed]

S. K. Turitsyn, “Spatial dispersion of nonlinearity and stability of multidimensional solitons,” Theor. Math. Phys. 64, 226–232 (1985).
[CrossRef]

Tzortzakis, S.

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

P. Panagiotopoulos, N. K. Efremidis, D. G. Papazoglou, A. Couairon, S. Tzortzakis, “Tailoring the filamentation of intense femtosecond laser pulses with periodic lattices,” Phys. Rev. A 82, 061803 (2010).
[CrossRef]

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, S. Tzortzakis, “Femtosecond laser induced plasma diffraction gratings in air as photonic devices for high intensity laser applications,” Appl. Phys. Lett. 94, 251104 (2009).
[CrossRef]

J. M. Manceau, A. Averchi, F. Bonaretti, D. Faccio, P. Di Trapani, A. Couairon, S. Tzortzakis, “Terahertz pulse emission optimization from tailored femtosecond laser pulse filamentation in air,” Opt. Lett. 34, 2165–2167 (2009).
[CrossRef] [PubMed]

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

Valiulis, G.

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef] [PubMed]

Wise, F.

A. Chong, W. H. Renninger, D. N. Christodoulides, F. Wise, “AiryBessel wave packets as versatile linear light bullets,” Nature Photon. 4, 103–106 (2010).
[CrossRef]

B. A. Malomed, D. Mihalache, F. Wise, L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quantum Semiclassical Opt. 7, R53 (2005).
[CrossRef]

X. Liu, L. J. Qian, F. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

Wright, E. M.

Wu, J.

Xu, Z.

Yang, X.

Zeng, H.

Appl. Phys. B (1)

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

Appl. Phys. Lett. (1)

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, S. Tzortzakis, “Femtosecond laser induced plasma diffraction gratings in air as photonic devices for high intensity laser applications,” Appl. Phys. Lett. 94, 251104 (2009).
[CrossRef]

Eur. Phys. J. D (1)

A. Couairon, “Light bullets from femtosecond filamentation,” Eur. Phys. J. D 27, 159–167 (2003).
[CrossRef]

J. Opt. B: Quantum Semiclassical Opt. (1)

B. A. Malomed, D. Mihalache, F. Wise, L. Torner, “Spatiotemporal optical solitons,” J. Opt. B: Quantum Semiclassical Opt. 7, R53 (2005).
[CrossRef]

Nature Photon. (1)

A. Chong, W. H. Renninger, D. N. Christodoulides, F. Wise, “AiryBessel wave packets as versatile linear light bullets,” Nature Photon. 4, 103–106 (2010).
[CrossRef]

Opt. Express (1)

Opt. Lett. (8)

Phys. Rev. A (1)

B. B. Baizakov, B. A. Malomed, M. Salerno, “Multidimensional solitons in a low-dimensional periodic potential,” Phys. Rev. A 70, 053613 (2004).
[CrossRef]

Phys. Rev. Lett. (2)

D. Abdollahpour, S. Suntsov, D. G. Papazoglou, S. Tzortzakis, “Spatiotemporal airy light bullets in the linear and nonlinear regimes,” Phys. Rev. Lett. 105, 253901 (2010).
[CrossRef]

A. A. Sukhorukov, Y. S. Kivshar, “Slow-light optical bullets in arrays of nonlinear Bragg-grating waveguides,” Phys. Rev. Lett. 97, 233901 (2006).
[CrossRef]

Phys. Rep. (1)

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

Phys. Rev. Lett. (2)

N. K. Efremidis, K. Hizanidis, B. A. Malomed, P. Di Trapani, “Three-Dimensional Vortex Solitons in Self-Defocusing Media,” Phys. Rev. Lett. 98, 113901 (2007).
[CrossRef] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable spatiotemporal solitons in Bessel optical lattices,” Phys. Rev. Lett. 95, 023902 (2005).
[CrossRef] [PubMed]

Phys. Rev. A (2)

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76, 011803R (2007).
[CrossRef]

P. Panagiotopoulos, N. K. Efremidis, D. G. Papazoglou, A. Couairon, S. Tzortzakis, “Tailoring the filamentation of intense femtosecond laser pulses with periodic lattices,” Phys. Rev. A 82, 061803 (2010).
[CrossRef]

Phys. Rev. E (2)

A. Couairon, E. Gaiauskas, D. Faccio, A. Dubietis, P. Di Trapani, “Nonlinear X-wave formation by femtosecond filamentation in Kerr media,” Phys. Rev. E 73, 016608 (2006).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, L. Torner, “Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice,” Phys. Rev. E 70, 055603 (2004).
[CrossRef]

Phys. Rev. Lett. (5)

D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, F. Lederer, “Stable spinning optical solitons in three dimensions,” Phys. Rev. Lett. 88, 073902 (2002).
[CrossRef] [PubMed]

P. L. Kelley, “Self-focusing of optical beams,” Phys. Rev. Lett. 15, 1005–1008 (1965).
[CrossRef]

X. Liu, L. J. Qian, F. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631 (1999).
[CrossRef]

P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, S. Trillo, “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).
[CrossRef] [PubMed]

M. Leibscher, I. Sh. Averbukh, H. Rabitz, “Molecular Alignment by Trains of Short Laser Pulses,” Phys. Rev. Lett. 90, 213001 (2003).
[CrossRef] [PubMed]

Theor. Math. Phys. (1)

S. K. Turitsyn, “Spatial dispersion of nonlinearity and stability of multidimensional solitons,” Theor. Math. Phys. 64, 226–232 (1985).
[CrossRef]

Supplementary Material (1)

» Media 1: MOV (1255 KB)     

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Figures (4)

Fig. 1
Fig. 1

(Color Online) Input radial intensity distribution superimposed on the lattice potential.

Fig. 2
Fig. 2

(Color Online) 3D iso-surface plots of the intensity distributions for the cases of (a) standard filamentation (red iso-surfaces, first row) and (b) IDB formation inside the periodic lattice (blue iso-surfaces, second row), for various propagation distances (Media 1). Isovalue is set to half of the peak intensity at each z position.

Fig. 3
Fig. 3

(Color Online) (a) Peak intensity vs z for a standard filament in air (continuous line) and the IDB (dashed line). (b) Pulse duration (Radially averaged over 100 μm) of the IDB vs propagation distance z when all effects are accounted for (continuous curve) or when a specific effect is switched off at z = 150 cm: dotted curve: the lattice is removed; dashed curve: self-steepening is switched off; dash-doted curve: GVD is switched off.

Fig. 4
Fig. 4

(Color Online) The smallest lengths characterize the most important physical effects in competition along the propagation axis. (a) Case of a standard filament. (b) Case of an IDB in a periodic lattice.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

E ^ z = i [ Δ 2 𝒦 ω + D ( ω ) + k 0 Δ n ] E ^ + i ω 2 c P ^ N L ε 0
P ^ NL ε 0 = 2 n 0 n 2 | E | 2 E ^ ω 0 2 ω 2 ρ ρ c E ^ c β K ω | E | 2 K 2 ^ E
ρ t = σ K | E | 2 K ρ nt

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