Observation of non-odd order harmonics by sub-2-cycle laser pulses

Hao Teng; Chen-Xia Yun; Xin-Kui He; Wei Zhang; Li-Feng Wang; Min-Jie Zhan; Bing-bing Wang; Zhi-Yi Wei

doi:10.1364/OE.19.017408

Optics Express
Vol. 19,
Issue 18,
pp. 17408-17412
(2011)
•https://doi.org/10.1364/OE.19.017408

Observation of non-odd order harmonics by sub-2-cycle laser pulses

Hao Teng, Chen-Xia Yun, Xin-Kui He, Wei Zhang, Li-Feng Wang, Min-Jie Zhan, Bing-bing Wang, and Zhi-Yi Wei

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Hao Teng, Chen-Xia Yun, Xin-Kui He, Wei Zhang, Li-Feng Wang, Min-Jie Zhan, Bing-bing Wang, and Zhi-Yi Wei, "Observation of non-odd order harmonics by sub-2-cycle laser pulses," Opt. Express 19, 17408-17412 (2011)

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Table of Contents Category
- Nonlinear Optics
Optics & Photonics Topics
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The topics in this list come from the Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Strong field laser physics (020.2649)
- Multiharmonic generation (190.4160)
- Ultrafast nonlinear optics (320.7110)

About this Article
History
- Original Manuscript: April 28, 2011
- Revised Manuscript: June 10, 2011
- Manuscript Accepted: August 8, 2011
- Published: August 19, 2011

Abstract

High order harmonics generation from argon gas was comprehensively investigated by using multi-cycle and few-cycle laser pulses. Non-odd order harmonics were observed for sub-5-fs pulses, compare to the normal odd-order harmonics in the multi-cycle case. Theoretic analysis shows that the new spectral structure origins from the asymmetry of laser field in few-cycle pulses. This asymmetry induced both amplitude and phase difference between attosecond pulses from consecutive half-cycle of the laser field, which change the interference property of attosecond pulses and result in complex spectrum.

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References

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Article Order
Year
Author
Publication

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[Crossref]
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[Crossref] [PubMed]
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[Crossref]
C. Yun, H. Teng, W. Zhang, M. Zhan, H. Han, X. Zhong, Z. Wei, B. Wang, and X. Hou, “High-order harmonic generation by few-cycle and multi-cycle femtosecond laser pulses,” Chin. Phys. B 19(12), 124210 (2010).
[Crossref]
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2010 (2)

W. Zhang, H. Teng, C. Yun, X. Zhong, H. Hou, and Z. Wei, “Generation of sub-2-cycle optical pulses with a differentially pumped hollow fiber,” Chin. Phys. Lett. 27(5), 054211 (2010).
[Crossref]

C. Yun, H. Teng, W. Zhang, M. Zhan, H. Han, X. Zhong, Z. Wei, B. Wang, and X. Hou, “High-order harmonic generation by few-cycle and multi-cycle femtosecond laser pulses,” Chin. Phys. B 19(12), 124210 (2010).
[Crossref]

2009 (2)

E. Mansten, J. M. Dahlstrom, J. Mauritsson, T. Ruchon, A. L’huillier, J. Tate, M. B. Gaarde, P. Eckle, A. Guandalini, M. Holler, F. Schapper, L. Gallmann, and U. Keller, “Spectral signature of short attosecond pulse trains,” Phys. Rev. Lett. 102(8), 083002 (2009).
[Crossref] [PubMed]

F. Krausz, “Attosecond physics,” Rev. Mod. Phys. 81(1), 163–234 (2009).
[Crossref]

2008 (2)

H. Mashiko, S. Gilbertson, C. Li, S. D. Khan, M. M. Shakya, E. Moon, and Z. Chang, “Double optical gating of high-order harmonic generation with carrier-envelope phase stabilized lasers,” Phys. Rev. Lett. 100(10), 103906 (2008).
[Crossref] [PubMed]

C. Liu and T. Nakajima, “Controlling the strong field dynamics by a time-delayed near- and mid-infrared two-color laser field,” Phys. Rev. A 78(6), 063424 (2008).
[Crossref]

2006 (2)

T. Pfeifer, L. Gallmann, M. J. Abel, D. M. Neumark, and S. R. Leone, “Single attosecond pulse generation in the multicycle-driver regime by adding a weak second-harmonic field,” Opt. Lett. 31(7), 975–977 (2006).
[Crossref] [PubMed]

G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Poletto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli, “Isolated single-cycle attosecond pulses,” Science 314(5798), 443–446 (2006).
[Crossref] [PubMed]

2004 (3)

R. Kienberger, E. Goulielmakis, M. Uiberacker, A. Baltuska, V. Yakovlev, F. Bammer, A. Scrinzi, Th. Westerwalbesloh, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, “Atomic transient recorder,” Nature 427(6977), 817–821 (2004).
[Crossref] [PubMed]

C. Liu, S. Gong, R. Li, and Z. Xu, “Coherent control in the generation of harmonics and hyper-Raman lines from a strongly driven two-level atom,” Phys. Rev. A 69(2), 023406 (2004).
[Crossref]

K. L. Ishikawa, “Efficient photoemission and ionization of He+ by a combined fundamental laser and high-order harmonic pulse,” Phys. Rev. A 70(1), 013412 (2004).
[Crossref]

2003 (1)

M. Nisoli, G. Sansone, S. Stagira, S. De Silvestri, C. Vozzi, M. Pascolini, L. Poletto, P. Villoresi, and G. Tondello, “Effects of carrier-envelope phase differences of few-optical-cycle light pulses in single-shot high-order-harmonic spectra,” Phys. Rev. Lett. 91(21), 213905 (2003).
[Crossref] [PubMed]

2002 (1)

T. Brabec and F. Krausz, “Intense few-cycle laser fields: Frontiers of nonlinear optics,” Rev. Mod. Phys. 72(2), 545–591 (2002).
[Crossref]

1998 (1)

B. Wang, X. Li, and P. Fu, “The effects of a static electric field on high-order harmonic generation,” J. Phys. At. Mol. Opt. Phys. 31(9), 1961–1972 (1998).
[Crossref]

1995 (1)

P. Salieres, A. L’Huillier, and M. Lewenstein, “Coherence control of high-order harmonics,” Phys. Rev. Lett. 74(19), 3776–3779 (1995).
[Crossref] [PubMed]

Abel, M. J.

Altucci, C.

Avaldi, L.

Baltuska, A.

Bammer, F.

Benedetti, E.

Brabec, T.

T. Brabec and F. Krausz, “Intense few-cycle laser fields: Frontiers of nonlinear optics,” Rev. Mod. Phys. 72(2), 545–591 (2002).
[Crossref]

Calegari, F.

Chang, Z.

Dahlstrom, J. M.

De Silvestri, S.

Drescher, M.

Eckle, P.

Flammini, R.

Fu, P.

B. Wang, X. Li, and P. Fu, “The effects of a static electric field on high-order harmonic generation,” J. Phys. At. Mol. Opt. Phys. 31(9), 1961–1972 (1998).
[Crossref]

Gaarde, M. B.

Gallmann, L.

Gilbertson, S.

Gong, S.

C. Liu, S. Gong, R. Li, and Z. Xu, “Coherent control in the generation of harmonics and hyper-Raman lines from a strongly driven two-level atom,” Phys. Rev. A 69(2), 023406 (2004).
[Crossref]

Goulielmakis, E.

Guandalini, A.

Han, H.

Heinzmann, U.

Holler, M.

Hou, H.

W. Zhang, H. Teng, C. Yun, X. Zhong, H. Hou, and Z. Wei, “Generation of sub-2-cycle optical pulses with a differentially pumped hollow fiber,” Chin. Phys. Lett. 27(5), 054211 (2010).
[Crossref]

Hou, X.

Ishikawa, K. L.

K. L. Ishikawa, “Efficient photoemission and ionization of He+ by a combined fundamental laser and high-order harmonic pulse,” Phys. Rev. A 70(1), 013412 (2004).
[Crossref]

Keller, U.

Khan, S. D.

Kienberger, R.

Kleineberg, U.

Krausz, F.

F. Krausz, “Attosecond physics,” Rev. Mod. Phys. 81(1), 163–234 (2009).
[Crossref]

T. Brabec and F. Krausz, “Intense few-cycle laser fields: Frontiers of nonlinear optics,” Rev. Mod. Phys. 72(2), 545–591 (2002).
[Crossref]

L’huillier, A.

P. Salieres, A. L’Huillier, and M. Lewenstein, “Coherence control of high-order harmonics,” Phys. Rev. Lett. 74(19), 3776–3779 (1995).
[Crossref] [PubMed]

Leone, S. R.

Lewenstein, M.

P. Salieres, A. L’Huillier, and M. Lewenstein, “Coherence control of high-order harmonics,” Phys. Rev. Lett. 74(19), 3776–3779 (1995).
[Crossref] [PubMed]

Li, C.

Li, R.

C. Liu, S. Gong, R. Li, and Z. Xu, “Coherent control in the generation of harmonics and hyper-Raman lines from a strongly driven two-level atom,” Phys. Rev. A 69(2), 023406 (2004).
[Crossref]

Li, X.

B. Wang, X. Li, and P. Fu, “The effects of a static electric field on high-order harmonic generation,” J. Phys. At. Mol. Opt. Phys. 31(9), 1961–1972 (1998).
[Crossref]

Liu, C.

C. Liu and T. Nakajima, “Controlling the strong field dynamics by a time-delayed near- and mid-infrared two-color laser field,” Phys. Rev. A 78(6), 063424 (2008).
[Crossref]

C. Liu, S. Gong, R. Li, and Z. Xu, “Coherent control in the generation of harmonics and hyper-Raman lines from a strongly driven two-level atom,” Phys. Rev. A 69(2), 023406 (2004).
[Crossref]

Mansten, E.

Mashiko, H.

Mauritsson, J.

Moon, E.

Nakajima, T.

C. Liu and T. Nakajima, “Controlling the strong field dynamics by a time-delayed near- and mid-infrared two-color laser field,” Phys. Rev. A 78(6), 063424 (2008).
[Crossref]

Neumark, D. M.

Nisoli, M.

Pascolini, M.

Pfeifer, T.

Poletto, L.

Ruchon, T.

Salieres, P.

P. Salieres, A. L’Huillier, and M. Lewenstein, “Coherence control of high-order harmonics,” Phys. Rev. Lett. 74(19), 3776–3779 (1995).
[Crossref] [PubMed]

Sansone, G.

Schapper, F.

Scrinzi, A.

Shakya, M. M.

Stagira, S.

Tate, J.

Teng, H.

W. Zhang, H. Teng, C. Yun, X. Zhong, H. Hou, and Z. Wei, “Generation of sub-2-cycle optical pulses with a differentially pumped hollow fiber,” Chin. Phys. Lett. 27(5), 054211 (2010).
[Crossref]

Tondello, G.

Uiberacker, M.

Velotta, R.

Villoresi, P.

Vozzi, C.

Wang, B.

B. Wang, X. Li, and P. Fu, “The effects of a static electric field on high-order harmonic generation,” J. Phys. At. Mol. Opt. Phys. 31(9), 1961–1972 (1998).
[Crossref]

Wei, Z.

W. Zhang, H. Teng, C. Yun, X. Zhong, H. Hou, and Z. Wei, “Generation of sub-2-cycle optical pulses with a differentially pumped hollow fiber,” Chin. Phys. Lett. 27(5), 054211 (2010).
[Crossref]

Westerwalbesloh, Th.

Xu, Z.

C. Liu, S. Gong, R. Li, and Z. Xu, “Coherent control in the generation of harmonics and hyper-Raman lines from a strongly driven two-level atom,” Phys. Rev. A 69(2), 023406 (2004).
[Crossref]

Yakovlev, V.

Yun, C.

W. Zhang, H. Teng, C. Yun, X. Zhong, H. Hou, and Z. Wei, “Generation of sub-2-cycle optical pulses with a differentially pumped hollow fiber,” Chin. Phys. Lett. 27(5), 054211 (2010).
[Crossref]

Zhan, M.

Zhang, W.

W. Zhang, H. Teng, C. Yun, X. Zhong, H. Hou, and Z. Wei, “Generation of sub-2-cycle optical pulses with a differentially pumped hollow fiber,” Chin. Phys. Lett. 27(5), 054211 (2010).
[Crossref]

Zhong, X.

W. Zhang, H. Teng, C. Yun, X. Zhong, H. Hou, and Z. Wei, “Generation of sub-2-cycle optical pulses with a differentially pumped hollow fiber,” Chin. Phys. Lett. 27(5), 054211 (2010).
[Crossref]

Chin. Phys. B (1)

Chin. Phys. Lett. (1)

W. Zhang, H. Teng, C. Yun, X. Zhong, H. Hou, and Z. Wei, “Generation of sub-2-cycle optical pulses with a differentially pumped hollow fiber,” Chin. Phys. Lett. 27(5), 054211 (2010).
[Crossref]

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

B. Wang, X. Li, and P. Fu, “The effects of a static electric field on high-order harmonic generation,” J. Phys. At. Mol. Opt. Phys. 31(9), 1961–1972 (1998).
[Crossref]

Nature (1)

Opt. Lett. (1)

Phys. Rev. A (3)

C. Liu, S. Gong, R. Li, and Z. Xu, “Coherent control in the generation of harmonics and hyper-Raman lines from a strongly driven two-level atom,” Phys. Rev. A 69(2), 023406 (2004).
[Crossref]

K. L. Ishikawa, “Efficient photoemission and ionization of He+ by a combined fundamental laser and high-order harmonic pulse,” Phys. Rev. A 70(1), 013412 (2004).
[Crossref]

C. Liu and T. Nakajima, “Controlling the strong field dynamics by a time-delayed near- and mid-infrared two-color laser field,” Phys. Rev. A 78(6), 063424 (2008).
[Crossref]

Phys. Rev. Lett. (4)

P. Salieres, A. L’Huillier, and M. Lewenstein, “Coherence control of high-order harmonics,” Phys. Rev. Lett. 74(19), 3776–3779 (1995).
[Crossref] [PubMed]

Rev. Mod. Phys. (2)

T. Brabec and F. Krausz, “Intense few-cycle laser fields: Frontiers of nonlinear optics,” Rev. Mod. Phys. 72(2), 545–591 (2002).
[Crossref]

F. Krausz, “Attosecond physics,” Rev. Mod. Phys. 81(1), 163–234 (2009).
[Crossref]

Science (1)

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Fig. 1 The second order interferometric autocorrelation of compressed supercontinuum generated from differential pumped hollow fiber. The calculated pulse duration is 3.9 fs (FWHM), corresponding to 1.5-cycle with a carrier wavelength of 780nm

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Fig. 2 Experimental setup for generation and measurement of HHG spectrum

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Fig. 3 High-order harmonic spectrum from argon gas show complex structure distribution of spectrum with additional frequency components are located between the consecutive odd- order harmonics when driving laser pulses is only sub-5-fs (a), and discrete odd-order HHG distribution when driving laser pulses consist of multi-cycle (b)

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Equations (2)

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S (t) = \sum_{j = 1}^{N} a_{+} (t) \otimes δ (t - j T) - \sum_{j = 1}^{M} a_{-} (t) \otimes δ (t - j T - T / 2)

S (Ω) \approx A (Ω) (\sum_{j = 1}^{N} e^{i j Ω T} - \sum_{j = 1}^{M} e^{i j Ω T + i \frac{Ω T}{2}})