Abstract

The spatial wandering of a femtosecond laser filament caused by the filament heating effect in air has been studied. An empirical formula has also been derived from the classical Karman turbulence model, which determines quantitatively the displacement of the beam center as a function of the propagation distance and the effective turbulence structure constant. After fitting the experimental data with this formula, the effective turbulence structure constant has been estimated for a single filament generated in laboratory environment. With this result, one may be able to estimate quantitatively the displacement of a filament over long distance propagation and interpret the practical performance of the experiments assisted by femtosecond laser filamentation, such as remote air lasing, pulse compression, high order harmonic generation (HHG), etc.

© 2015 Optical Society of America

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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
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    [Crossref]

2015 (1)

X. D. Sun, T. Zeng, H. Gao, S. W. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. At. Mol. Opt. Phys. 48(9), 094004 (2015).
[Crossref]

2014 (1)

N. Jhajj, E. W. Rosenthal, R. Birnbaum, J. K. Wahlstrand, and H. M. Milchberg, “Demonstration of long-lived high-power optical waveguides in air,” Phys. Rev. X 4(1), 011027 (2014).
[Crossref]

2013 (3)

2012 (2)

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

2011 (2)

P. R. Hemmer, R. B. Miles, P. Polynkin, T. Siebert, A. V. Sokolov, P. Sprangle, and M. O. Scully, “Standoff spectroscopy via remote generation of a backward-propagating laser beam,” Proc. Natl. Acad. Sci. U.S.A. 108(8), 3130–3134 (2011).
[Crossref] [PubMed]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

2010 (2)

2008 (1)

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

2007 (5)

W. Liu and S. L. Chin, “Abnormal wavelength dependence of the self-cleaning phenomenon during femtosecond-laser-pulse filamentation,” Phys. Rev. A 76(1), 013826 (2007).
[Crossref]

W. Liu, J. Bernhardt, F. Théberge, S. L. Chin, M. Châteauneuf, and J. Dubois, “Spectroscopic characterization of femtosecond laser filament in argon gas,” J. Appl. Phys. 102, 033111 (2007).
[Crossref]

W. Liu and S. L. Chin, “Abnormal wavelength dependence of the self-cleaning phenomenon during femtosecond-laser-pulse filamentation,” Phys. Rev. A 76(1), 013826 (2007).
[Crossref]

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

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J. P. Wolf, “Ultrashort filaments of light in weakly ionized, optically transparent media,” Rep. Prog. Phys. 70(10), 1633–1713 (2007).
[Crossref]

2006 (4)

B. Prade, M. Franco, A. Mysyrowicz, A. Couairon, H. Buersing, B. Eberle, M. Krenz, D. Seiffer, and O. Vasseur, “Spatial mode cleaning by femtosecond filamentation in air,” Opt. Lett. 31(17), 2601–2603 (2006).
[Crossref] [PubMed]

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, “Tunable ultrashort laser pulses generated through filamentation in gases,” Phys. Rev. Lett. 97(2), 023904 (2006).
[Crossref] [PubMed]

G. Stibenz, N. Zhavoronkov, and G. Steinmeyer, “Self-compression of millijoule pulses to 7.8 fs duration in a white-light filament,” Opt. Lett. 31(2), 274–276 (2006).
[Crossref] [PubMed]

S. Skupin, G. Stibenz, L. Bergé, F. Lederer, T. Sokollik, M. Schnürer, N. Zhavoronkov, and G. Steinmeyer, “Self-compression by femtosecond pulse filamentation: experiments versus numerical simulations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056604 (2006).
[Crossref] [PubMed]

2005 (2)

A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller, “Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient,” Opt. Lett. 30(19), 2657–2659 (2005).
[Crossref] [PubMed]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

2004 (2)

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

S. A. Shlyonov and V. P. Kandidov, “Filament bunch formation upon femtosecond laser pulse propagation through the turbulent atmosphere. Part1. Method,” Atmos. Oceanic Opt. 17, 565–570 (2004).

2003 (4)

W. Liu, S. L. Chin, O. G. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

Q. Luo, W. Liu, and S. L. Chin, “Lasing action in air induced by ultra-fast laser filamentation,” Appl. Phys. B 76(3), 337–340 (2003).
[Crossref]

1998 (1)

H. R. Lange, A. Chiron, J. F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81(8), 1611–1613 (1998).
[Crossref]

1966 (1)

Agostini, P.

H. R. Lange, A. Chiron, J. F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81(8), 1611–1613 (1998).
[Crossref]

Aközbek, N.

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, “Tunable ultrashort laser pulses generated through filamentation in gases,” Phys. Rev. Lett. 97(2), 023904 (2006).
[Crossref] [PubMed]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

Ališauskas, S.

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

Alonso, B.

André, Y. B.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Andriukaitis, G.

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

Azarm, A.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Baltuška, A.

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

Becker, A.

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, “Tunable ultrashort laser pulses generated through filamentation in gases,” Phys. Rev. Lett. 97(2), 023904 (2006).
[Crossref] [PubMed]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

Bergé, L.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J. P. Wolf, “Ultrashort filaments of light in weakly ionized, optically transparent media,” Rep. Prog. Phys. 70(10), 1633–1713 (2007).
[Crossref]

S. Skupin, G. Stibenz, L. Bergé, F. Lederer, T. Sokollik, M. Schnürer, N. Zhavoronkov, and G. Steinmeyer, “Self-compression by femtosecond pulse filamentation: experiments versus numerical simulations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056604 (2006).
[Crossref] [PubMed]

Bernhardt, J.

W. Liu, J. Bernhardt, F. Théberge, S. L. Chin, M. Châteauneuf, and J. Dubois, “Spectroscopic characterization of femtosecond laser filament in argon gas,” J. Appl. Phys. 102, 033111 (2007).
[Crossref]

Biegert, J.

A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller, “Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient,” Opt. Lett. 30(19), 2657–2659 (2005).
[Crossref] [PubMed]

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

Birnbaum, R.

N. Jhajj, E. W. Rosenthal, R. Birnbaum, J. K. Wahlstrand, and H. M. Milchberg, “Demonstration of long-lived high-power optical waveguides in air,” Phys. Rev. X 4(1), 011027 (2014).
[Crossref]

Bourayou, R.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Bourdon, P.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

Bowden, C. M.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

Breger, P.

H. R. Lange, A. Chiron, J. F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81(8), 1611–1613 (1998).
[Crossref]

Buersing, H.

Châteauneuf, M.

W. Liu, J. Bernhardt, F. Théberge, S. L. Chin, M. Châteauneuf, and J. Dubois, “Spectroscopic characterization of femtosecond laser filament in argon gas,” J. Appl. Phys. 102, 033111 (2007).
[Crossref]

Chen, Y. P.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Cheng, Y.

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).
[Crossref] [PubMed]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

Chin, S. L.

H. Sun, J. Liu, C. Wang, J. Ju, Z. Wang, W. Wang, X. Ge, C. Li, S. L. Chin, R. Li, and Z. Xu, “Laser filamentation induced air-flow motion in a diffusion cloud chamber,” Opt. Express 21(8), 9255–9266 (2013).
[Crossref] [PubMed]

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

D. Uryupina, M. Kurilova, A. Mazhorova, N. Panov, R. Volkov, S. Gorgutsa, O. Kosareva, A. Savel’ev, and S. L. Chin, “Few-cycle optical pulse production from collimated femtosecond laser beam filamentation,” J. Opt. Soc. Am. B 27(4), 667–674 (2010).
[Crossref]

W. Liu, J. Bernhardt, F. Théberge, S. L. Chin, M. Châteauneuf, and J. Dubois, “Spectroscopic characterization of femtosecond laser filament in argon gas,” J. Appl. Phys. 102, 033111 (2007).
[Crossref]

W. Liu and S. L. Chin, “Abnormal wavelength dependence of the self-cleaning phenomenon during femtosecond-laser-pulse filamentation,” Phys. Rev. A 76(1), 013826 (2007).
[Crossref]

W. Liu and S. L. Chin, “Abnormal wavelength dependence of the self-cleaning phenomenon during femtosecond-laser-pulse filamentation,” Phys. Rev. A 76(1), 013826 (2007).
[Crossref]

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, “Tunable ultrashort laser pulses generated through filamentation in gases,” Phys. Rev. Lett. 97(2), 023904 (2006).
[Crossref] [PubMed]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

W. Liu, S. L. Chin, O. G. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[Crossref]

Q. Luo, W. Liu, and S. L. Chin, “Lasing action in air induced by ultra-fast laser filamentation,” Appl. Phys. B 76(3), 337–340 (2003).
[Crossref]

Chiron, A.

H. R. Lange, A. Chiron, J. F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81(8), 1611–1613 (1998).
[Crossref]

Chu, W.

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).
[Crossref] [PubMed]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

Couairon, A.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

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

B. Prade, M. Franco, A. Mysyrowicz, A. Couairon, H. Buersing, B. Eberle, M. Krenz, D. Seiffer, and O. Vasseur, “Spatial mode cleaning by femtosecond filamentation in air,” Opt. Lett. 31(17), 2601–2603 (2006).
[Crossref] [PubMed]

A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller, “Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient,” Opt. Lett. 30(19), 2657–2659 (2005).
[Crossref] [PubMed]

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

Daigle, J. F.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Dubois, J.

W. Liu, J. Bernhardt, F. Théberge, S. L. Chin, M. Châteauneuf, and J. Dubois, “Spectroscopic characterization of femtosecond laser filament in argon gas,” J. Appl. Phys. 102, 033111 (2007).
[Crossref]

Durécu, A.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

Eberle, B.

Fleury, B.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

Franco, M.

Frey, S.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Fried, D. L.

Gao, H.

X. D. Sun, T. Zeng, H. Gao, S. W. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. At. Mol. Opt. Phys. 48(9), 094004 (2015).
[Crossref]

X. D. Sun, H. Gao, S. W. Zhang, and W. Liu, “Numerical simulation of the generation of multiple laser filaments by an axicon array,” J. Mod. Opt. 60(19), 1637–1643 (2013).
[Crossref]

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).
[Crossref] [PubMed]

Ge, X.

Golubtsov, I. S.

W. Liu, S. L. Chin, O. G. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[Crossref]

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

Gorgutsa, S.

Hauri, C. P.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

Heinrich, A.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

Helbing, F. W.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

Hemmer, P. R.

P. R. Hemmer, R. B. Miles, P. Polynkin, T. Siebert, A. V. Sokolov, P. Sprangle, and M. O. Scully, “Standoff spectroscopy via remote generation of a backward-propagating laser beam,” Proc. Natl. Acad. Sci. U.S.A. 108(8), 3130–3134 (2011).
[Crossref] [PubMed]

Hosseini, S. A.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

Houard, A.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

Jhajj, N.

N. Jhajj, E. W. Rosenthal, R. Birnbaum, J. K. Wahlstrand, and H. M. Milchberg, “Demonstration of long-lived high-power optical waveguides in air,” Phys. Rev. X 4(1), 011027 (2014).
[Crossref]

Ju, J.

Kandidov, V. P.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

S. A. Shlyonov and V. P. Kandidov, “Filament bunch formation upon femtosecond laser pulse propagation through the turbulent atmosphere. Part1. Method,” Atmos. Oceanic Opt. 17, 565–570 (2004).

W. Liu, S. L. Chin, O. G. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[Crossref]

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

Kartashov, D.

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

Kasparian, J.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J. P. Wolf, “Ultrashort filaments of light in weakly ionized, optically transparent media,” Rep. Prog. Phys. 70(10), 1633–1713 (2007).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Keller, U.

A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller, “Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient,” Opt. Lett. 30(19), 2657–2659 (2005).
[Crossref] [PubMed]

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

Kornelis, W.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

Kosareva, O.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

D. Uryupina, M. Kurilova, A. Mazhorova, N. Panov, R. Volkov, S. Gorgutsa, O. Kosareva, A. Savel’ev, and S. L. Chin, “Few-cycle optical pulse production from collimated femtosecond laser beam filamentation,” J. Opt. Soc. Am. B 27(4), 667–674 (2010).
[Crossref]

Kosareva, O. G.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

W. Liu, S. L. Chin, O. G. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[Crossref]

Krenz, M.

Kurilova, M.

Lange, H. R.

H. R. Lange, A. Chiron, J. F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81(8), 1611–1613 (1998).
[Crossref]

Lederer, F.

S. Skupin, G. Stibenz, L. Bergé, F. Lederer, T. Sokollik, M. Schnürer, N. Zhavoronkov, and G. Steinmeyer, “Self-compression by femtosecond pulse filamentation: experiments versus numerical simulations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056604 (2006).
[Crossref] [PubMed]

Li, C.

Li, G.

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

Li, R.

H. Sun, J. Liu, C. Wang, J. Ju, Z. Wang, W. Wang, X. Ge, C. Li, S. L. Chin, R. Li, and Z. Xu, “Laser filamentation induced air-flow motion in a diffusion cloud chamber,” Opt. Express 21(8), 9255–9266 (2013).
[Crossref] [PubMed]

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Liu, J.

Liu, J. S.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Liu, W.

X. D. Sun, T. Zeng, H. Gao, S. W. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. At. Mol. Opt. Phys. 48(9), 094004 (2015).
[Crossref]

X. D. Sun, H. Gao, S. W. Zhang, and W. Liu, “Numerical simulation of the generation of multiple laser filaments by an axicon array,” J. Mod. Opt. 60(19), 1637–1643 (2013).
[Crossref]

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).
[Crossref] [PubMed]

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

W. Liu, J. Bernhardt, F. Théberge, S. L. Chin, M. Châteauneuf, and J. Dubois, “Spectroscopic characterization of femtosecond laser filament in argon gas,” J. Appl. Phys. 102, 033111 (2007).
[Crossref]

W. Liu and S. L. Chin, “Abnormal wavelength dependence of the self-cleaning phenomenon during femtosecond-laser-pulse filamentation,” Phys. Rev. A 76(1), 013826 (2007).
[Crossref]

W. Liu and S. L. Chin, “Abnormal wavelength dependence of the self-cleaning phenomenon during femtosecond-laser-pulse filamentation,” Phys. Rev. A 76(1), 013826 (2007).
[Crossref]

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, “Tunable ultrashort laser pulses generated through filamentation in gases,” Phys. Rev. Lett. 97(2), 023904 (2006).
[Crossref] [PubMed]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

W. Liu, S. L. Chin, O. G. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[Crossref]

Q. Luo, W. Liu, and S. L. Chin, “Lasing action in air induced by ultra-fast laser filamentation,” Appl. Phys. B 76(3), 337–340 (2003).
[Crossref]

Liu, W. W.

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

Lombard, L.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

Luo, Q.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

Q. Luo, W. Liu, and S. L. Chin, “Lasing action in air induced by ultra-fast laser filamentation,” Appl. Phys. B 76(3), 337–340 (2003).
[Crossref]

Marceau, C.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Mazhorova, A.

Méjean, G.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Méndez, C.

Michau, V.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

Milchberg, H. M.

N. Jhajj, E. W. Rosenthal, R. Birnbaum, J. K. Wahlstrand, and H. M. Milchberg, “Demonstration of long-lived high-power optical waveguides in air,” Phys. Rev. X 4(1), 011027 (2014).
[Crossref]

Miles, R. B.

P. R. Hemmer, R. B. Miles, P. Polynkin, T. Siebert, A. V. Sokolov, P. Sprangle, and M. O. Scully, “Standoff spectroscopy via remote generation of a backward-propagating laser beam,” Proc. Natl. Acad. Sci. U.S.A. 108(8), 3130–3134 (2011).
[Crossref] [PubMed]

Mysyrowicz, A.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

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

B. Prade, M. Franco, A. Mysyrowicz, A. Couairon, H. Buersing, B. Eberle, M. Krenz, D. Seiffer, and O. Vasseur, “Spatial mode cleaning by femtosecond filamentation in air,” Opt. Lett. 31(17), 2601–2603 (2006).
[Crossref] [PubMed]

A. Couairon, M. Franco, A. Mysyrowicz, J. Biegert, and U. Keller, “Pulse self-compression to the single-cycle limit by filamentation in a gas with a pressure gradient,” Opt. Lett. 30(19), 2657–2659 (2005).
[Crossref] [PubMed]

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

H. R. Lange, A. Chiron, J. F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81(8), 1611–1613 (1998).
[Crossref]

Ni, J.

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

Nuter, R.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J. P. Wolf, “Ultrashort filaments of light in weakly ionized, optically transparent media,” Rep. Prog. Phys. 70(10), 1633–1713 (2007).
[Crossref]

Panov, N.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

D. Uryupina, M. Kurilova, A. Mazhorova, N. Panov, R. Volkov, S. Gorgutsa, O. Kosareva, A. Savel’ev, and S. L. Chin, “Few-cycle optical pulse production from collimated femtosecond laser beam filamentation,” J. Opt. Soc. Am. B 27(4), 667–674 (2010).
[Crossref]

Polynkin, P.

P. R. Hemmer, R. B. Miles, P. Polynkin, T. Siebert, A. V. Sokolov, P. Sprangle, and M. O. Scully, “Standoff spectroscopy via remote generation of a backward-propagating laser beam,” Proc. Natl. Acad. Sci. U.S.A. 108(8), 3130–3134 (2011).
[Crossref] [PubMed]

Prade, B.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

B. Prade, M. Franco, A. Mysyrowicz, A. Couairon, H. Buersing, B. Eberle, M. Krenz, D. Seiffer, and O. Vasseur, “Spatial mode cleaning by femtosecond filamentation in air,” Opt. Lett. 31(17), 2601–2603 (2006).
[Crossref] [PubMed]

Pugžlys, A.

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

Richardson, M.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Ripoche, J. F.

H. R. Lange, A. Chiron, J. F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81(8), 1611–1613 (1998).
[Crossref]

Robert, C.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

Rodriguez, M.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Román, J. S.

Rosenthal, E. W.

N. Jhajj, E. W. Rosenthal, R. Birnbaum, J. K. Wahlstrand, and H. M. Milchberg, “Demonstration of long-lived high-power optical waveguides in air,” Phys. Rev. X 4(1), 011027 (2014).
[Crossref]

Roso, L.

Salmon, E.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Sauerbrey, R.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Savel’ev, A.

Schnürer, M.

S. Skupin, G. Stibenz, L. Bergé, F. Lederer, T. Sokollik, M. Schnürer, N. Zhavoronkov, and G. Steinmeyer, “Self-compression by femtosecond pulse filamentation: experiments versus numerical simulations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056604 (2006).
[Crossref] [PubMed]

Schroeder, H.

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

Scully, M. O.

P. R. Hemmer, R. B. Miles, P. Polynkin, T. Siebert, A. V. Sokolov, P. Sprangle, and M. O. Scully, “Standoff spectroscopy via remote generation of a backward-propagating laser beam,” Proc. Natl. Acad. Sci. U.S.A. 108(8), 3130–3134 (2011).
[Crossref] [PubMed]

Seideman, T.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Seiffer, D.

Shlyonov, S. A.

S. A. Shlyonov and V. P. Kandidov, “Filament bunch formation upon femtosecond laser pulse propagation through the turbulent atmosphere. Part1. Method,” Atmos. Oceanic Opt. 17, 565–570 (2004).

Shneider, M.

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

Siebert, T.

P. R. Hemmer, R. B. Miles, P. Polynkin, T. Siebert, A. V. Sokolov, P. Sprangle, and M. O. Scully, “Standoff spectroscopy via remote generation of a backward-propagating laser beam,” Proc. Natl. Acad. Sci. U.S.A. 108(8), 3130–3134 (2011).
[Crossref] [PubMed]

Skupin, S.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J. P. Wolf, “Ultrashort filaments of light in weakly ionized, optically transparent media,” Rep. Prog. Phys. 70(10), 1633–1713 (2007).
[Crossref]

S. Skupin, G. Stibenz, L. Bergé, F. Lederer, T. Sokollik, M. Schnürer, N. Zhavoronkov, and G. Steinmeyer, “Self-compression by femtosecond pulse filamentation: experiments versus numerical simulations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056604 (2006).
[Crossref] [PubMed]

Sokollik, T.

S. Skupin, G. Stibenz, L. Bergé, F. Lederer, T. Sokollik, M. Schnürer, N. Zhavoronkov, and G. Steinmeyer, “Self-compression by femtosecond pulse filamentation: experiments versus numerical simulations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056604 (2006).
[Crossref] [PubMed]

Sokolov, A. V.

P. R. Hemmer, R. B. Miles, P. Polynkin, T. Siebert, A. V. Sokolov, P. Sprangle, and M. O. Scully, “Standoff spectroscopy via remote generation of a backward-propagating laser beam,” Proc. Natl. Acad. Sci. U.S.A. 108(8), 3130–3134 (2011).
[Crossref] [PubMed]

Sola, I. J.

Sprangle, P.

P. R. Hemmer, R. B. Miles, P. Polynkin, T. Siebert, A. V. Sokolov, P. Sprangle, and M. O. Scully, “Standoff spectroscopy via remote generation of a backward-propagating laser beam,” Proc. Natl. Acad. Sci. U.S.A. 108(8), 3130–3134 (2011).
[Crossref] [PubMed]

Steinmeyer, G.

S. Skupin, G. Stibenz, L. Bergé, F. Lederer, T. Sokollik, M. Schnürer, N. Zhavoronkov, and G. Steinmeyer, “Self-compression by femtosecond pulse filamentation: experiments versus numerical simulations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056604 (2006).
[Crossref] [PubMed]

G. Stibenz, N. Zhavoronkov, and G. Steinmeyer, “Self-compression of millijoule pulses to 7.8 fs duration in a white-light filament,” Opt. Lett. 31(2), 274–276 (2006).
[Crossref] [PubMed]

Stibenz, G.

G. Stibenz, N. Zhavoronkov, and G. Steinmeyer, “Self-compression of millijoule pulses to 7.8 fs duration in a white-light filament,” Opt. Lett. 31(2), 274–276 (2006).
[Crossref] [PubMed]

S. Skupin, G. Stibenz, L. Bergé, F. Lederer, T. Sokollik, M. Schnürer, N. Zhavoronkov, and G. Steinmeyer, “Self-compression by femtosecond pulse filamentation: experiments versus numerical simulations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056604 (2006).
[Crossref] [PubMed]

Sun, H.

Sun, X. D.

X. D. Sun, T. Zeng, H. Gao, S. W. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. At. Mol. Opt. Phys. 48(9), 094004 (2015).
[Crossref]

X. D. Sun, H. Gao, S. W. Zhang, and W. Liu, “Numerical simulation of the generation of multiple laser filaments by an axicon array,” J. Mod. Opt. 60(19), 1637–1643 (2013).
[Crossref]

Théberge, F.

W. Liu, J. Bernhardt, F. Théberge, S. L. Chin, M. Châteauneuf, and J. Dubois, “Spectroscopic characterization of femtosecond laser filament in argon gas,” J. Appl. Phys. 102, 033111 (2007).
[Crossref]

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, “Tunable ultrashort laser pulses generated through filamentation in gases,” Phys. Rev. Lett. 97(2), 023904 (2006).
[Crossref] [PubMed]

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

Uryupina, D.

Varela, O.

Vasseur, O.

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

B. Prade, M. Franco, A. Mysyrowicz, A. Couairon, H. Buersing, B. Eberle, M. Krenz, D. Seiffer, and O. Vasseur, “Spatial mode cleaning by femtosecond filamentation in air,” Opt. Lett. 31(17), 2601–2603 (2006).
[Crossref] [PubMed]

Volkov, R.

Wahlstrand, J. K.

N. Jhajj, E. W. Rosenthal, R. Birnbaum, J. K. Wahlstrand, and H. M. Milchberg, “Demonstration of long-lived high-power optical waveguides in air,” Phys. Rev. X 4(1), 011027 (2014).
[Crossref]

Wang, C.

Wang, T. J.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Wang, W.

Wang, Z.

Wille, H.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Wolf, J. P.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J. P. Wolf, “Ultrashort filaments of light in weakly ionized, optically transparent media,” Rep. Prog. Phys. 70(10), 1633–1713 (2007).
[Crossref]

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Wöste, L.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Wu, J.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Xu, H.

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

Xu, Z.

Xu, Z. Z.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

Yao, J.

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

Yu, G.

Yu, J.

J. Kasparian, M. Rodriguez, G. Méjean, J. Yu, E. Salmon, H. Wille, R. Bourayou, S. Frey, Y. B. André, A. Mysyrowicz, R. Sauerbrey, J. P. Wolf, and L. Wöste, “White-light filaments for atmospheric analysis,” Science 301(5629), 61–64 (2003).
[Crossref] [PubMed]

Yuan, S.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Zaïr, A.

Zeng, B.

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).
[Crossref] [PubMed]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

Zeng, H. P.

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Zeng, T.

X. D. Sun, T. Zeng, H. Gao, S. W. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. At. Mol. Opt. Phys. 48(9), 094004 (2015).
[Crossref]

Zhang, H.

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

Zhang, S. W.

X. D. Sun, T. Zeng, H. Gao, S. W. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. At. Mol. Opt. Phys. 48(9), 094004 (2015).
[Crossref]

X. D. Sun, H. Gao, S. W. Zhang, and W. Liu, “Numerical simulation of the generation of multiple laser filaments by an axicon array,” J. Mod. Opt. 60(19), 1637–1643 (2013).
[Crossref]

Zhao, J.

Zhavoronkov, N.

G. Stibenz, N. Zhavoronkov, and G. Steinmeyer, “Self-compression of millijoule pulses to 7.8 fs duration in a white-light filament,” Opt. Lett. 31(2), 274–276 (2006).
[Crossref] [PubMed]

S. Skupin, G. Stibenz, L. Bergé, F. Lederer, T. Sokollik, M. Schnürer, N. Zhavoronkov, and G. Steinmeyer, “Self-compression by femtosecond pulse filamentation: experiments versus numerical simulations,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(5), 056604 (2006).
[Crossref] [PubMed]

Zheltikov, A.

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

Appl. Phys. B (3)

V. P. Kandidov, O. G. Kosareva, I. S. Golubtsov, W. W. Liu, A. Becker, N. Aközbek, C. M. Bowden, and S. L. Chin, “Self-transformation of a powerful femtosecond laser pulse into a white-light laser pulse in bulk optical media,” Appl. Phys. B 77(2-3), 149–165 (2003).
[Crossref]

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, “Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation,” Appl. Phys. B 79(6), 673–677 (2004).
[Crossref]

Q. Luo, W. Liu, and S. L. Chin, “Lasing action in air induced by ultra-fast laser filamentation,” Appl. Phys. B 76(3), 337–340 (2003).
[Crossref]

Atmos. Oceanic Opt. (1)

S. A. Shlyonov and V. P. Kandidov, “Filament bunch formation upon femtosecond laser pulse propagation through the turbulent atmosphere. Part1. Method,” Atmos. Oceanic Opt. 17, 565–570 (2004).

Can. J. Phys. (1)

S. L. Chin, S. A. Hosseini, W. Liu, Q. Luo, F. Théberge, N. Aközbek, A. Becker, V. P. Kandidov, O. G. Kosareva, and H. Schroeder, “The propagation of powerful femtosecond laser pulses in opticalmedia: physics, applications, and new challenges,” Can. J. Phys. 83(9), 863–905 (2005).
[Crossref]

J. Appl. Phys. (1)

W. Liu, J. Bernhardt, F. Théberge, S. L. Chin, M. Châteauneuf, and J. Dubois, “Spectroscopic characterization of femtosecond laser filament in argon gas,” J. Appl. Phys. 102, 033111 (2007).
[Crossref]

J. Mod. Opt. (1)

X. D. Sun, H. Gao, S. W. Zhang, and W. Liu, “Numerical simulation of the generation of multiple laser filaments by an axicon array,” J. Mod. Opt. 60(19), 1637–1643 (2013).
[Crossref]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (1)

J. Phys. At. Mol. Opt. Phys. (1)

X. D. Sun, T. Zeng, H. Gao, S. W. Zhang, and W. Liu, “Power dependent filamentation of a femtosecond laser pulse in air by focusing with an axicon,” J. Phys. At. Mol. Opt. Phys. 48(9), 094004 (2015).
[Crossref]

Laser Phys. (1)

S. L. Chin, T. J. Wang, C. Marceau, J. Wu, J. S. Liu, O. Kosareva, N. Panov, Y. P. Chen, J. F. Daigle, S. Yuan, A. Azarm, W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Li, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in air,” Laser Phys. 22(1), 1–53 (2012).
[Crossref]

Opt. Commun. (1)

W. Liu, S. L. Chin, O. G. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[Crossref]

Opt. Express (2)

Opt. Lett. (4)

Phys. Rep. (1)

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

Phys. Rev. A (5)

W. Liu and S. L. Chin, “Abnormal wavelength dependence of the self-cleaning phenomenon during femtosecond-laser-pulse filamentation,” Phys. Rev. A 76(1), 013826 (2007).
[Crossref]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A 84(5), 051802 (2011).
[Crossref]

D. Kartashov, S. Ališauskas, G. Andriukaitis, A. Pugžlys, M. Shneider, A. Zheltikov, S. L. Chin, and A. Baltuška, “Free-space nitrogen gas laser driven by a femtosecond filament,” Phys. Rev. A 86(3), 033831 (2012).
[Crossref]

A. Houard, M. Franco, B. Prade, A. Durécu, L. Lombard, P. Bourdon, O. Vasseur, B. Fleury, C. Robert, V. Michau, A. Couairon, and A. Mysyrowicz, “Femtosecond filamentation in turbulent air,” Phys. Rev. A 78(3), 033804 (2008).
[Crossref]

W. Liu and S. L. Chin, “Abnormal wavelength dependence of the self-cleaning phenomenon during femtosecond-laser-pulse filamentation,” Phys. Rev. A 76(1), 013826 (2007).
[Crossref]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

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H. R. Lange, A. Chiron, J. F. Ripoche, A. Mysyrowicz, P. Breger, and P. Agostini, “High-order harmonic generation and quasiphase matching in xenon using self-guided femtosecond pulses,” Phys. Rev. Lett. 81(8), 1611–1613 (1998).
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F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, “Tunable ultrashort laser pulses generated through filamentation in gases,” Phys. Rev. Lett. 97(2), 023904 (2006).
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Phys. Rev. X (1)

N. Jhajj, E. W. Rosenthal, R. Birnbaum, J. K. Wahlstrand, and H. M. Milchberg, “Demonstration of long-lived high-power optical waveguides in air,” Phys. Rev. X 4(1), 011027 (2014).
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Proc. Natl. Acad. Sci. U.S.A. (1)

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Figures (3)

Fig. 1
Fig. 1 (a) Fluorescence distribution perpendicular to the propagation axis of a filament. (b) Beam full width at half maximum (FWHM) along the horizontal and vertical axises versus the propagation distance, tree insets show beam pattern at various distance.
Fig. 2
Fig. 2 Standard deviation of the beam center position along both the horizontal and vertical direction versus the propagation distance and three fitting curves with different turbulent structure constants C n 2 = 1.9 × 10 12 cm 2 / 3 (orange dashed line), C n 2 = 1.0 × 10 12 cm 2 / 3 (green short dotted line) and C n 2 = 4.9 × 10 13 cm 2 / 3 (blue dotted line).
Fig. 3
Fig. 3 (a) A representative phase screen with the structure constant C n 2 = 1.0 × 10 13 cm 2 / 3 and the distance Δz = 1 m. (b) Simulative and theoretical result of the structure function of phase fluctuations. (c) Spatial displacement of filament in turbulent air with the turbulence parameter C n 2 = 1.0 × 10 12 cm 2 / 3 , which is introduced after filament formation. (d) Relationship between the standard deviation of the single beam wandering and filament length in turbulent air with different turbulent structure constants and the fitting (solid line).

Equations (7)

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x c = x y x S ( x , y ) / x y S ( x , y ) , y c = x y y S ( x , y ) / x y S ( x , y ) ,
F n ( κ x , κ y , κ z ) = 0.033 C n 2 ( κ 2 + κ 0 2 ) 11 / 6 exp ( ( κ / κ m ) 2 )
F ϕ ( κ x , κ y ) = 2 π k 0 2 Δ z F n ( κ x , κ y , 0 )
2 i k 0 A z + ( 2 x 2 + 2 y 2 ) A + 2 k 0 2 Δ n A + 2 k 0 2 n ˜ ( x , y , z ) A = 0
n ˜ ( x , y , z ) = ϕ ( x , y ) / k 0 Δ z .
D ( r ) = [ φ ( r ) φ ( r + r ) ] 2 = 6.88 ( r / r 0 ) 5 / 3
δ = C n 2 / 10 14 z 3 / 2

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