Abstract

We report generation of third, fifth and seventh harmonics from air by using tightly focused, ultrashort pulses of short-wave infrared (2 μm) radiation. We have measured the third- and fifth-harmonic efficiencies to be 5×105 and 1.4×105, respectively, with the ratio of fifth-to-third-harmonic efficiency being close to 0.28. Our experimental results provide confirmation of expectations of the higher-order Kerr effect model.

© 2013 Optical Society of America

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2012 (3)

2011 (5)

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J.-P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

O. Kosareva, J.-F. Daigle, N. Panov, T. Wang, S. Hosseini, S. Yuan, G. Roy, V. Makarov, and S. L. Chin, Opt. Lett. 36, 1035 (2011).
[CrossRef]

2010 (6)

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, Phys. Rev. Lett. 105, 215005 (2010).
[CrossRef]

M. Kolesik, E. M. Wright, and J. V. Moloney, Opt. Lett. 35, 2550 (2010).
[CrossRef]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, O. Faucher, B. Lavorel, J. Kasparian, and J. P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
[CrossRef]

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. A 81, 033817 (2010).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

2009 (1)

2008 (1)

2007 (1)

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

2006 (1)

2005 (1)

L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).
[CrossRef]

2003 (1)

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

2002 (1)

1998 (1)

N. I. Koroteev and A. M. Zheltikov, Laser Phys. 8, 512 (1998).

Abdollahpour, D.

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. A 81, 033817 (2010).
[CrossRef]

Ališauskas, S.

Antonsen, T. M.

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, Phys. Rev. Lett. 105, 215005 (2010).
[CrossRef]

Ariunbold, G. O.

Baba, M.

Bache, M.

Baltuška, A.

Béjot, P.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J.-P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, O. Faucher, B. Lavorel, J. Kasparian, and J. P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

Berg’e, L.

Bergé, L.

L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).
[CrossRef]

Bloembergen, N.

N. Bloembergen, Nonlinear Optics (Benjamin, 1977).

Brée, C.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

Chen, Y.-H.

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, Phys. Rev. Lett. 105, 215005 (2010).
[CrossRef]

Chen, Z. L.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Cheng, Y.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

Chin, S. L.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

O. Kosareva, J.-F. Daigle, N. Panov, T. Wang, S. Hosseini, S. Yuan, G. Roy, V. Makarov, and S. L. Chin, Opt. Lett. 36, 1035 (2011).
[CrossRef]

Chu, W.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

Couairon, A.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Daigle, J.-F.

Demircan, A.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

Eilenberger, F.

Ettoumi, W.

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, O. Faucher, B. Lavorel, J. Kasparian, and J. P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

Faucher, O.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J.-P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, O. Faucher, B. Lavorel, J. Kasparian, and J. P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
[CrossRef]

Frey, S.

L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).
[CrossRef]

Ganeev, R. A.

Henin, S.

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

Hertz, E.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J.-P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
[CrossRef]

Hosseini, S.

Jing, C.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

Kartashov, D.

Kasparian, J.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J.-P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, O. Faucher, B. Lavorel, J. Kasparian, and J. P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).
[CrossRef]

Kolesik, M.

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

M. Kolesik, E. M. Wright, and J. V. Moloney, Opt. Lett. 35, 2550 (2010).
[CrossRef]

Koroteev, N. I.

N. I. Koroteev and A. M. Zheltikov, Laser Phys. 8, 512 (1998).

Kosareva, O.

Kulagin, I. A.

Kuroda, H.

Lavorel, B.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J.-P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, O. Faucher, B. Lavorel, J. Kasparian, and J. P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
[CrossRef]

Li, G.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

Li, Y. J.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Li, Y. T.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Loriot, V.

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 18, 3011 (2010).
[CrossRef]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, O. Faucher, B. Lavorel, J. Kasparian, and J. P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

V. Loriot, E. Hertz, O. Faucher, and B. Lavorel, Opt. Express 17, 13429 (2009).
[CrossRef]

Ma, J. X.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Makarov, V.

Méjean, G.

L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).
[CrossRef]

Milchberg, H. M.

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, Phys. Rev. Lett. 105, 215005 (2010).
[CrossRef]

Minardi, S.

Moloney, J. V.

Mysyrowicz, A.

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Naumov, A. N.

Ni, J.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

Panov, N.

Papazoglou, D. G.

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. A 81, 033817 (2010).
[CrossRef]

Petit, Y.

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, O. Faucher, B. Lavorel, J. Kasparian, and J. P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

Polynkin, P.

G. O. Ariunbold, P. Polynkin, and J. V. Moloney, Opt. Express 20,1662 (2012).
[CrossRef]

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

Pugžlys, A.

Roy, G.

Salmon, E.

L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).
[CrossRef]

Sheng, Z. M.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Skupin, S.

L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).
[CrossRef]

Steinmeyer, G.

C. Brée, A. Demircan, and G. Steinmeyer, Phys. Rev. Lett. 106, 183902 (2011).
[CrossRef]

Suntsov, S.

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. A 81, 033817 (2010).
[CrossRef]

Suzuki, M.

Teng, H.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Tzortzakis, S.

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. A 81, 033817 (2010).
[CrossRef]

Varma, S.

Y.-H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, Phys. Rev. Lett. 105, 215005 (2010).
[CrossRef]

Vieillard, T.

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

Voronin, A. A.

Wang, T.

Wang, Z. H.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Wei, Z. Y.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Wolf, J. P.

P. Béjot, J. Kasparian, S. Henin, V. Loriot, T. Vieillard, E. Hertz, O. Faucher, B. Lavorel, and J. P. Wolf, Phys. Rev. Lett. 104, 103903 (2010).
[CrossRef]

W. Ettoumi, P. Béjot, Y. Petit, V. Loriot, O. Faucher, B. Lavorel, J. Kasparian, and J. P. Wolf, Phys. Rev. A 82, 033826 (2010).
[CrossRef]

L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).
[CrossRef]

Wolf, J.-P.

P. Béjot, E. Hertz, J. Kasparian, B. Lavorel, J.-P. Wolf, and O. Faucher, Phys. Rev. Lett. 106, 243902 (2011).
[CrossRef]

Wright, E. M.

P. Polynkin, M. Kolesik, E. M. Wright, and J. V. Moloney, Phys. Rev. Lett. 106, 153902 (2011).
[CrossRef]

M. Kolesik, E. M. Wright, and J. V. Moloney, Opt. Lett. 35, 2550 (2010).
[CrossRef]

Xu, Z.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

Yang, H.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Yo, J.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

Yu, J.

L. Bergé, S. Skupin, G. Méjean, J. Kasparian, J. Yu, S. Frey, E. Salmon, and J. P. Wolf, Phys. Rev. E 71, 016602 (2005).
[CrossRef]

Yu, W.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Yuan, S.

Zeng, B.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

Zhang, H.

J. Ni, J. Yo, B. Zeng, W. Chu, G. Li, H. Zhang, C. Jing, S. L. Chin, Y. Cheng, and Z. Xu, Phys. Rev. A 84, 063846 (2011).
[CrossRef]

Zhang, J.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Zhao, L. Z.

H. Yang, J. Zhang, L. Z. Zhao, Y. J. Li, H. Teng, Y. T. Li, Z. H. Wang, Z. L. Chen, Z. Y. Wei, J. X. Ma, W. Yu, and Z. M. Sheng, Phys. Rev. E 67, 015401(R) (2003).

Zheltikov, A. M.

Appl. Opt. (1)

Laser Phys. (1)

N. I. Koroteev and A. M. Zheltikov, Laser Phys. 8, 512 (1998).

Opt. Express (5)

Opt. Lett. (4)

Phys. Rep. (1)

A. Couairon and A. Mysyrowicz, Phys. Rep. 441, 47 (2007).
[CrossRef]

Phys. Rev. A (3)

S. Suntsov, D. Abdollahpour, D. G. Papazoglou, and S. Tzortzakis, Phys. Rev. A 81, 033817 (2010).
[CrossRef]

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Phys. Rev. E (2)

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[CrossRef]

Phys. Rev. Lett. (5)

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Other (1)

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Figures (3)

Fig. 1.
Fig. 1.

TH spectrum in air at 2 μm incident wavelength. The small signal near 410 nm corresponds to the FH signal (inset). The focused intensity was 30TW/cm2 (80 μJ).

Fig. 2.
Fig. 2.

(a) TH spectrum in air at 2 μm incident wavelength. The small signal near 410 nm (inset) corresponds to the FH. (b) FH spectrum along with the SVH spectrum (inset). The focused intensity was 73TW/cm2 (200 μJ).

Fig. 3.
Fig. 3.

Ratio of FH to TH harmonic efficiency as a function of intensity at two different incident wavelengths.

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