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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

A. C. Bernstein, M. McCormick, G. M. Dyer, J. C. Sanders, and T. Ditmire, “Two-beam coupling between filament-forming beams in
air,” Phys. Rev. Lett.102, 123902 (2009).

R. W. Boyd, Nonlinear Optics, 3rd ed.
(Academic, 2008).

Y. E. Geints, A. M. Kabanov, A. A. Zemlyanov, E. E. Bykova, O. A. Bukin, and S. S. Golik, “Kerr-driven nonlinear refractive index of air at 800 and 400nm measured through femtosecond laser pulse filamentation,” Appl. Phys. Lett.99, 181114 (2011).

Y. E. Geints, A. M. Kabanov, A. A. Zemlyanov, E. E. Bykova, O. A. Bukin, and S. S. Golik, “Kerr-driven nonlinear refractive index of air at 800 and 400nm measured through femtosecond laser pulse filamentation,” Appl. Phys. Lett.99, 181114 (2011).

Y. Liu, M. Durand, S. Chen, A. Houard, B. Prade, B. Forestier, and A. Mysyrowicz, “Energy exchange between femtosecond laser filaments in
air,” Phys. Rev. Lett.105, 055003 (2010).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

G. Cheng, Y. H. Zheng, Y. Zhong, Z. N. Zeng, C. Li, X. C. Ge, R. X. Li, and Z. Z. Xu, “Energy transfer between few-cycle laser filaments in air,” Appl. Phys. Lett.101, 251111 (2012).

J. K. Wahlstrand, J. H. Odhner, E. T. McCole, Y.-H. Cheng, J. P. Palastro, R. J. Levis, and H. M. Milchberg, “Effect of two-beam coupling in strong-field optical
pump-probe experiments,” Phys. Rev. A87, 053801 (2013).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

Y. Liu, M. Durand, A. Houard, B. Forestier, A. Couairon, and A. Mysyrowicz, “Efficient generation of third harmonic radiation in air filaments: A revisit,” Opt. Commun.284, 4706–4713 (2011).

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

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

X. Yang, J. Wu, Y. Tong, L.’en Ding, Z. Xu, and H. Zeng, “Femtosecond laser pulse energy transfer induced by plasma grating due to filament interaction in air,” Appl. Phys. Lett.97, 071108 (2010).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

A. C. Bernstein, M. McCormick, G. M. Dyer, J. C. Sanders, and T. Ditmire, “Two-beam coupling between filament-forming beams in
air,” Phys. Rev. Lett.102, 123902 (2009).

M. Durand, A. Jarnac, Y. Liu, B. Prade, A. Houard, V. Tikhonchuk, and A. Mysyrowicz, ”Dynamics of plasma gratings in atomic and molecular
gases,” Phys. Rev. E86, 036405 (2012).

Y. Liu, M. Durand, A. Houard, B. Forestier, A. Couairon, and A. Mysyrowicz, “Efficient generation of third harmonic radiation in air filaments: A revisit,” Opt. Commun.284, 4706–4713 (2011).

M. Durand, Y. Liu, B. Forestier, A. Houard, and A. Mysyrowicz, “Experimental observation of a traveling plasma grating formed by two crossing filaments in gases,” Appl. Phys. Lett.98, 121110 (2011).

Y. Liu, M. Durand, S. Chen, A. Houard, B. Prade, B. Forestier, and A. Mysyrowicz, “Energy exchange between femtosecond laser filaments in
air,” Phys. Rev. Lett.105, 055003 (2010).

A. C. Bernstein, M. McCormick, G. M. Dyer, J. C. Sanders, and T. Ditmire, “Two-beam coupling between filament-forming beams in
air,” Phys. Rev. Lett.102, 123902 (2009).

Y. Liu, M. Durand, A. Houard, B. Forestier, A. Couairon, and A. Mysyrowicz, “Efficient generation of third harmonic radiation in air filaments: A revisit,” Opt. Commun.284, 4706–4713 (2011).

M. Durand, Y. Liu, B. Forestier, A. Houard, and A. Mysyrowicz, “Experimental observation of a traveling plasma grating formed by two crossing filaments in gases,” Appl. Phys. Lett.98, 121110 (2011).

Y. Liu, M. Durand, S. Chen, A. Houard, B. Prade, B. Forestier, and A. Mysyrowicz, “Energy exchange between femtosecond laser filaments in
air,” Phys. Rev. Lett.105, 055003 (2010).

G. Cheng, Y. H. Zheng, Y. Zhong, Z. N. Zeng, C. Li, X. C. Ge, R. X. Li, and Z. Z. Xu, “Energy transfer between few-cycle laser filaments in air,” Appl. Phys. Lett.101, 251111 (2012).

Y. E. Geints, A. M. Kabanov, A. A. Zemlyanov, E. E. Bykova, O. A. Bukin, and S. S. Golik, “Kerr-driven nonlinear refractive index of air at 800 and 400nm measured through femtosecond laser pulse filamentation,” Appl. Phys. Lett.99, 181114 (2011).

Y. E. Geints, A. M. Kabanov, A. A. Zemlyanov, E. E. Bykova, O. A. Bukin, and S. S. Golik, “Kerr-driven nonlinear refractive index of air at 800 and 400nm measured through femtosecond laser pulse filamentation,” Appl. Phys. Lett.99, 181114 (2011).

Y. B. Zhao, T. E. Witt, and J. Gordon, “Efficient energy transfer between laser beams by stimulated
Raman scattering,” Phys. Rev. Lett.103, 173903 (2009).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

M. Durand, A. Jarnac, Y. Liu, B. Prade, A. Houard, V. Tikhonchuk, and A. Mysyrowicz, ”Dynamics of plasma gratings in atomic and molecular
gases,” Phys. Rev. E86, 036405 (2012).

M. Durand, Y. Liu, B. Forestier, A. Houard, and A. Mysyrowicz, “Experimental observation of a traveling plasma grating formed by two crossing filaments in gases,” Appl. Phys. Lett.98, 121110 (2011).

Y. Liu, M. Durand, A. Houard, B. Forestier, A. Couairon, and A. Mysyrowicz, “Efficient generation of third harmonic radiation in air filaments: A revisit,” Opt. Commun.284, 4706–4713 (2011).

Y. Liu, M. Durand, S. Chen, A. Houard, B. Prade, B. Forestier, and A. Mysyrowicz, “Energy exchange between femtosecond laser filaments in
air,” Phys. Rev. Lett.105, 055003 (2010).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

M. Durand, A. Jarnac, Y. Liu, B. Prade, A. Houard, V. Tikhonchuk, and A. Mysyrowicz, ”Dynamics of plasma gratings in atomic and molecular
gases,” Phys. Rev. E86, 036405 (2012).

Y. E. Geints, A. M. Kabanov, A. A. Zemlyanov, E. E. Bykova, O. A. Bukin, and S. S. Golik, “Kerr-driven nonlinear refractive index of air at 800 and 400nm measured through femtosecond laser pulse filamentation,” Appl. Phys. Lett.99, 181114 (2011).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

J. K. Wahlstrand, J. H. Odhner, E. T. McCole, Y.-H. Cheng, J. P. Palastro, R. J. Levis, and H. M. Milchberg, “Effect of two-beam coupling in strong-field optical
pump-probe experiments,” Phys. Rev. A87, 053801 (2013).

G. Cheng, Y. H. Zheng, Y. Zhong, Z. N. Zeng, C. Li, X. C. Ge, R. X. Li, and Z. Z. Xu, “Energy transfer between few-cycle laser filaments in air,” Appl. Phys. Lett.101, 251111 (2012).

G. Cheng, Y. H. Zheng, Y. Zhong, Z. N. Zeng, C. Li, X. C. Ge, R. X. Li, and Z. Z. Xu, “Energy transfer between few-cycle laser filaments in air,” Appl. Phys. Lett.101, 251111 (2012).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

M. Durand, A. Jarnac, Y. Liu, B. Prade, A. Houard, V. Tikhonchuk, and A. Mysyrowicz, ”Dynamics of plasma gratings in atomic and molecular
gases,” Phys. Rev. E86, 036405 (2012).

M. Durand, Y. Liu, B. Forestier, A. Houard, and A. Mysyrowicz, “Experimental observation of a traveling plasma grating formed by two crossing filaments in gases,” Appl. Phys. Lett.98, 121110 (2011).

Y. Liu, M. Durand, A. Houard, B. Forestier, A. Couairon, and A. Mysyrowicz, “Efficient generation of third harmonic radiation in air filaments: A revisit,” Opt. Commun.284, 4706–4713 (2011).

Y. Liu, M. Durand, S. Chen, A. Houard, B. Prade, B. Forestier, and A. Mysyrowicz, “Energy exchange between femtosecond laser filaments in
air,” Phys. Rev. Lett.105, 055003 (2010).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

J. K. Wahlstrand, J. H. Odhner, E. T. McCole, Y.-H. Cheng, J. P. Palastro, R. J. Levis, and H. M. Milchberg, “Effect of two-beam coupling in strong-field optical
pump-probe experiments,” Phys. Rev. A87, 053801 (2013).

A. C. Bernstein, M. McCormick, G. M. Dyer, J. C. Sanders, and T. Ditmire, “Two-beam coupling between filament-forming beams in
air,” Phys. Rev. Lett.102, 123902 (2009).

J. K. Wahlstrand, J. H. Odhner, E. T. McCole, Y.-H. Cheng, J. P. Palastro, R. J. Levis, and H. M. Milchberg, “Effect of two-beam coupling in strong-field optical
pump-probe experiments,” Phys. Rev. A87, 053801 (2013).

M. Durand, A. Jarnac, Y. Liu, B. Prade, A. Houard, V. Tikhonchuk, and A. Mysyrowicz, ”Dynamics of plasma gratings in atomic and molecular
gases,” Phys. Rev. E86, 036405 (2012).

Y. Liu, M. Durand, A. Houard, B. Forestier, A. Couairon, and A. Mysyrowicz, “Efficient generation of third harmonic radiation in air filaments: A revisit,” Opt. Commun.284, 4706–4713 (2011).

M. Durand, Y. Liu, B. Forestier, A. Houard, and A. Mysyrowicz, “Experimental observation of a traveling plasma grating formed by two crossing filaments in gases,” Appl. Phys. Lett.98, 121110 (2011).

Y. Liu, M. Durand, S. Chen, A. Houard, B. Prade, B. Forestier, and A. Mysyrowicz, “Energy exchange between femtosecond laser filaments in
air,” Phys. Rev. Lett.105, 055003 (2010).

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

E. T. J. Nibbering, G. Grillon, M. A. Franco, B. S. Prade, and A. Mysyrowicz, “Determination of the inertial contribution to the nonlinear refractive index of air, N2, and O2by use of unfocused high-intensity femtosecond laser pulses,” J. Opt. Soc. Am. B14, 650–660 (1997).

J. K. Wahlstrand, J. H. Odhner, E. T. McCole, Y.-H. Cheng, J. P. Palastro, R. J. Levis, and H. M. Milchberg, “Effect of two-beam coupling in strong-field optical
pump-probe experiments,” Phys. Rev. A87, 053801 (2013).

J. K. Wahlstrand, J. H. Odhner, E. T. McCole, Y.-H. Cheng, J. P. Palastro, R. J. Levis, and H. M. Milchberg, “Effect of two-beam coupling in strong-field optical
pump-probe experiments,” Phys. Rev. A87, 053801 (2013).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

M. Durand, A. Jarnac, Y. Liu, B. Prade, A. Houard, V. Tikhonchuk, and A. Mysyrowicz, ”Dynamics of plasma gratings in atomic and molecular
gases,” Phys. Rev. E86, 036405 (2012).

Y. Liu, M. Durand, S. Chen, A. Houard, B. Prade, B. Forestier, and A. Mysyrowicz, “Energy exchange between femtosecond laser filaments in
air,” Phys. Rev. Lett.105, 055003 (2010).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

A. C. Bernstein, M. McCormick, G. M. Dyer, J. C. Sanders, and T. Ditmire, “Two-beam coupling between filament-forming beams in
air,” Phys. Rev. Lett.102, 123902 (2009).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

P. J. Ding, Z. Y. Liu, Y. C. Shi, S. H. Sun, X. L. Liu, X. Sh. Wang, Z. Q. Guo, Q. C. Liu, Y. H. Li, and B. T. Hu, “Spectral characterization of third-order harmonic
generation assisted by a two-dimensional plasma grating in air,”
Phys. Rev. A87, 043828 (2013).

M. Durand, A. Jarnac, Y. Liu, B. Prade, A. Houard, V. Tikhonchuk, and A. Mysyrowicz, ”Dynamics of plasma gratings in atomic and molecular
gases,” Phys. Rev. E86, 036405 (2012).

X. Yang, J. Wu, Y. Tong, L.’en Ding, Z. Xu, and H. Zeng, “Femtosecond laser pulse energy transfer induced by plasma grating due to filament interaction in air,” Appl. Phys. Lett.97, 071108 (2010).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

J. K. Wahlstrand, J. H. Odhner, E. T. McCole, Y.-H. Cheng, J. P. Palastro, R. J. Levis, and H. M. Milchberg, “Effect of two-beam coupling in strong-field optical
pump-probe experiments,” Phys. Rev. A87, 053801 (2013).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

Y. B. Zhao, T. E. Witt, and J. Gordon, “Efficient energy transfer between laser beams by stimulated
Raman scattering,” Phys. Rev. Lett.103, 173903 (2009).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

X. Yang, J. Wu, Y. Tong, L.’en Ding, Z. Xu, and H. Zeng, “Femtosecond laser pulse energy transfer induced by plasma grating due to filament interaction in air,” Appl. Phys. Lett.97, 071108 (2010).

X. Yang, J. Wu, Y. Tong, L.’en Ding, Z. Xu, and H. Zeng, “Femtosecond laser pulse energy transfer induced by plasma grating due to filament interaction in air,” Appl. Phys. Lett.97, 071108 (2010).

G. Cheng, Y. H. Zheng, Y. Zhong, Z. N. Zeng, C. Li, X. C. Ge, R. X. Li, and Z. Z. Xu, “Energy transfer between few-cycle laser filaments in air,” Appl. Phys. Lett.101, 251111 (2012).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

X. Yang, J. Wu, Y. Tong, L.’en Ding, Z. Xu, and H. Zeng, “Femtosecond laser pulse energy transfer induced by plasma grating due to filament interaction in air,” Appl. Phys. Lett.97, 071108 (2010).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

Y. E. Geints, A. M. Kabanov, A. A. Zemlyanov, E. E. Bykova, O. A. Bukin, and S. S. Golik, “Kerr-driven nonlinear refractive index of air at 800 and 400nm measured through femtosecond laser pulse filamentation,” Appl. Phys. Lett.99, 181114 (2011).

X. Yang, J. Wu, Y. Tong, L.’en Ding, Z. Xu, and H. Zeng, “Femtosecond laser pulse energy transfer induced by plasma grating due to filament interaction in air,” Appl. Phys. Lett.97, 071108 (2010).

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. W. Liu, T. Seideman, H. P. Zeng, M. Richardson, R. Lic, and Z. Z. Xu, “Advances in intense femtosecond laser filamentation in
air,” Laser Phys.22, 1–53
(2011).

G. Cheng, Y. H. Zheng, Y. Zhong, Z. N. Zeng, C. Li, X. C. Ge, R. X. Li, and Z. Z. Xu, “Energy transfer between few-cycle laser filaments in air,” Appl. Phys. Lett.101, 251111 (2012).

Y. B. Zhao, T. E. Witt, and J. Gordon, “Efficient energy transfer between laser beams by stimulated
Raman scattering,” Phys. Rev. Lett.103, 173903 (2009).

G. Cheng, Y. H. Zheng, Y. Zhong, Z. N. Zeng, C. Li, X. C. Ge, R. X. Li, and Z. Z. Xu, “Energy transfer between few-cycle laser filaments in air,” Appl. Phys. Lett.101, 251111 (2012).

B. D. Strycker, M. Springer, C. Trendafilova, X. Hua, M. Zhi, A. A. Kolomenskii, H. Schroeder, J. Strohaber, H. A. Schuessier, G. W. Kattawar, and A. V. Sokolov, “Energy transfer between laser filaments in liquid methanol,” Opt. Lett.37, 16–18 (2012).

G. Cheng, Y. H. Zheng, Y. Zhong, Z. N. Zeng, C. Li, X. C. Ge, R. X. Li, and Z. Z. Xu, “Energy transfer between few-cycle laser filaments in air,” Appl. Phys. Lett.101, 251111 (2012).