Abstract

We theoretically investigate the selective enhancement of high-harmonic generation (HHG) in a small spectral range when an orthogonal-polarized two-color laser field interacts with aligned O2 molecules. It is shown clearly that the enhanced narrow-bandwidth emission near the cutoff of the HHG spectrum can be effectively controlled by the molecular alignment angle, laser intensity and the relative phase of two-color laser fields. Furthermore, the strong dependence of narrow-bandwidth HHG on molecular alignment angle indicates that it encodes information about O2 molecular orbitals, so it may be an alternative method for reconstruction of O2 molecular orbitals.

© 2013 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys.81(1), 163–234 (2009).
    [CrossRef]
  2. J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
    [CrossRef]
  3. Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu, “Generation of an extreme ultraviolet supercontinuum in a two-color laser field,” Phys. Rev. Lett.98(20), 203901 (2007).
    [CrossRef] [PubMed]
  4. Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
    [CrossRef] [PubMed]
  5. C. Zhang, J. Yao, and J. Ni, “Generation of isolated attosecond pulses of sub-atomic-time durations with multi-cycle chirped polarization gating pulses,” Opt. Express20(22), 24642–24649 (2012).
    [CrossRef] [PubMed]
  6. J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
    [CrossRef]
  7. W. Yang, X. Song, Z. Zeng, R. Li, and Z. Xu, “Quantum path interferences of electron trajectories in two-center molecules,” Opt. Express18(3), 2558–2565 (2010).
    [CrossRef] [PubMed]
  8. L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).
  9. K. Sasaki, M. Koshioka, H. Misawa, N. Kitamura, and H. Masuhara, “Pattern formation and flow control of fine particles by laser-scanning micromanipulation,” Opt. Lett.16(19), 1463–1465 (1991).
    [CrossRef] [PubMed]
  10. Z. Zeng, Y. Cheng, Y. Fu, X. Song, R. Li, and Z. Xu, “Tunable high-order harmonic generation and the role of the folded quantum path,” Phys. Rev. A77(2), 023416 (2008).
    [CrossRef]
  11. C. Zhang, J. Yao, J. Ni, G. Li, Y. Cheng, and Z. Xu, “Control of bandwidth and central wavelength of an enhanced extreme ultraviolet spectrum generated in shaped laser field,” Opt. Express20(15), 16544–16551 (2012).
    [CrossRef]
  12. J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
    [CrossRef]
  13. E. Mansten, J. M. Dahlström, P. Johnsson, M. Swoboda, A. L’Huillier, and J. Mauritsson, “Spectral shaping of attosecond pulses using two-color laser fields,” New J. Phys.10(8), 083041 (2008).
    [CrossRef]
  14. M. Yu. Emelin, M. Yu. Ryabikin, and A. M. Sergeev, “Frequency tunable single attosecond pulse production from aligned diatomic molecules ionized by intense laser field,” Opt. Express18(3), 2269–2278 (2010).
    [CrossRef] [PubMed]
  15. J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
    [CrossRef] [PubMed]
  16. X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Role of molecular orbital symmetry on the alignment dependence of high-order harmonic generation with molecules,” Phys. Rev. A71(6), 061801 (2005).
    [CrossRef]
  17. B. Shan, X. Tong, Z. Zhao, Z. Chang, and C. D. Lin, “High-order harmonic cutoff extension of the O2 molecule due to ionization suppression,” Phys. Rev. A66(6), 061401 (2002).
    [CrossRef]
  18. Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
    [CrossRef]
  19. X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Alignment dependence of high-order harmonic generation from N2 and O2 molecules in intense laser fields,” Phys. Rev. A72(3), 033412 (2005).
    [CrossRef]
  20. J. Itatani, D. Zeidler, J. Levesque, M. Spanner, D. M. Villeneuve, and P. B. Corkum, “Controlling high harmonic generation with molecular wave packets,” Phys. Rev. Lett.94(12), 123902 (2005).
    [CrossRef] [PubMed]
  21. M. Lewenstein, Ph. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
    [CrossRef] [PubMed]
  22. P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett.71(13), 1994–1997 (1993).
    [CrossRef] [PubMed]
  23. D. Pavicić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett.98(24), 243001 (2007).
    [CrossRef] [PubMed]
  24. M. V. Ammosov, N. B. Delone, and V. P. Krainov, “Tunnel ionization of complex atoms and atomic ions by an alternating electromagnetic field,” Sov. Phys. JETP64, 1191–1194 (1986).
  25. X. Tong, Z. Zhao, and C. D. Lin, “Theory of molecular tunneling ionization,” Phys. Rev. A66(3), 033402 (2002).
    [CrossRef]
  26. Z. Zhao, X. Tong, and C. D. Lin, “Alignment-dependent ionization probability of molecules in a double-pulse laser field,” Phys. Rev. A67(4), 043404 (2003).
    [CrossRef]
  27. A. Le, X. Tong, and C. D. Lin, “Evidence of two-center interference in high-order harmonic generation from CO2,” Phys. Rev. A73(4), 041402 (2006).
    [CrossRef]
  28. W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett.99(13), 133602 (2007).
    [CrossRef] [PubMed]
  29. M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
    [CrossRef] [PubMed]
  30. X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
    [CrossRef]
  31. Y. Yu, X. Song, Y. Fu, R. Li, Y. Cheng, and Z. Xu, “Theoretical investigation of single attosecond pulse generation in an orthogonally polarized two-color laser field,” Opt. Express16(2), 686–694 (2008).
    [CrossRef] [PubMed]

2012

2011

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

2010

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

W. Yang, X. Song, Z. Zeng, R. Li, and Z. Xu, “Quantum path interferences of electron trajectories in two-center molecules,” Opt. Express18(3), 2558–2565 (2010).
[CrossRef] [PubMed]

M. Yu. Emelin, M. Yu. Ryabikin, and A. M. Sergeev, “Frequency tunable single attosecond pulse production from aligned diatomic molecules ionized by intense laser field,” Opt. Express18(3), 2269–2278 (2010).
[CrossRef] [PubMed]

2009

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

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

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

2008

E. Mansten, J. M. Dahlström, P. Johnsson, M. Swoboda, A. L’Huillier, and J. Mauritsson, “Spectral shaping of attosecond pulses using two-color laser fields,” New J. Phys.10(8), 083041 (2008).
[CrossRef]

Z. Zeng, Y. Cheng, Y. Fu, X. Song, R. Li, and Z. Xu, “Tunable high-order harmonic generation and the role of the folded quantum path,” Phys. Rev. A77(2), 023416 (2008).
[CrossRef]

Y. Yu, X. Song, Y. Fu, R. Li, Y. Cheng, and Z. Xu, “Theoretical investigation of single attosecond pulse generation in an orthogonally polarized two-color laser field,” Opt. Express16(2), 686–694 (2008).
[CrossRef] [PubMed]

2007

X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
[CrossRef]

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett.99(13), 133602 (2007).
[CrossRef] [PubMed]

D. Pavicić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett.98(24), 243001 (2007).
[CrossRef] [PubMed]

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu, “Generation of an extreme ultraviolet supercontinuum in a two-color laser field,” Phys. Rev. Lett.98(20), 203901 (2007).
[CrossRef] [PubMed]

2006

A. Le, X. Tong, and C. D. Lin, “Evidence of two-center interference in high-order harmonic generation from CO2,” Phys. Rev. A73(4), 041402 (2006).
[CrossRef]

2005

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Role of molecular orbital symmetry on the alignment dependence of high-order harmonic generation with molecules,” Phys. Rev. A71(6), 061801 (2005).
[CrossRef]

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Alignment dependence of high-order harmonic generation from N2 and O2 molecules in intense laser fields,” Phys. Rev. A72(3), 033412 (2005).
[CrossRef]

J. Itatani, D. Zeidler, J. Levesque, M. Spanner, D. M. Villeneuve, and P. B. Corkum, “Controlling high harmonic generation with molecular wave packets,” Phys. Rev. Lett.94(12), 123902 (2005).
[CrossRef] [PubMed]

2004

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

2003

Z. Zhao, X. Tong, and C. D. Lin, “Alignment-dependent ionization probability of molecules in a double-pulse laser field,” Phys. Rev. A67(4), 043404 (2003).
[CrossRef]

2002

X. Tong, Z. Zhao, and C. D. Lin, “Theory of molecular tunneling ionization,” Phys. Rev. A66(3), 033402 (2002).
[CrossRef]

B. Shan, X. Tong, Z. Zhao, Z. Chang, and C. D. Lin, “High-order harmonic cutoff extension of the O2 molecule due to ionization suppression,” Phys. Rev. A66(6), 061401 (2002).
[CrossRef]

1996

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

1995

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

1994

M. Lewenstein, Ph. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

1993

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett.71(13), 1994–1997 (1993).
[CrossRef] [PubMed]

1991

1986

M. V. Ammosov, N. B. Delone, and V. P. Krainov, “Tunnel ionization of complex atoms and atomic ions by an alternating electromagnetic field,” Sov. Phys. JETP64, 1191–1194 (1986).

Ammosov, M. V.

M. V. Ammosov, N. B. Delone, and V. P. Krainov, “Tunnel ionization of complex atoms and atomic ions by an alternating electromagnetic field,” Sov. Phys. JETP64, 1191–1194 (1986).

Balcou, Ph.

M. Lewenstein, Ph. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

Barbee, T. W.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Brabec, T.

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

Burnett, N.

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

Cai, B.

X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
[CrossRef]

Cauble, R.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Celliers, P.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Chang, Z.

B. Shan, X. Tong, Z. Zhao, Z. Chang, and C. D. Lin, “High-order harmonic cutoff extension of the O2 molecule due to ionization suppression,” Phys. Rev. A66(6), 061401 (2002).
[CrossRef]

Chen, J.

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Cheng, Y.

C. Zhang, J. Yao, J. Ni, G. Li, Y. Cheng, and Z. Xu, “Control of bandwidth and central wavelength of an enhanced extreme ultraviolet spectrum generated in shaped laser field,” Opt. Express20(15), 16544–16551 (2012).
[CrossRef]

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Z. Zeng, Y. Cheng, Y. Fu, X. Song, R. Li, and Z. Xu, “Tunable high-order harmonic generation and the role of the folded quantum path,” Phys. Rev. A77(2), 023416 (2008).
[CrossRef]

Y. Yu, X. Song, Y. Fu, R. Li, Y. Cheng, and Z. Xu, “Theoretical investigation of single attosecond pulse generation in an orthogonally polarized two-color laser field,” Opt. Express16(2), 686–694 (2008).
[CrossRef] [PubMed]

X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
[CrossRef]

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett.99(13), 133602 (2007).
[CrossRef] [PubMed]

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu, “Generation of an extreme ultraviolet supercontinuum in a two-color laser field,” Phys. Rev. Lett.98(20), 203901 (2007).
[CrossRef] [PubMed]

Chin, S. L.

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

Chu, W.

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Ciarlo, D.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Corkum, P. B.

D. Pavicić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett.98(24), 243001 (2007).
[CrossRef] [PubMed]

J. Itatani, D. Zeidler, J. Levesque, M. Spanner, D. M. Villeneuve, and P. B. Corkum, “Controlling high harmonic generation with molecular wave packets,” Phys. Rev. Lett.94(12), 123902 (2005).
[CrossRef] [PubMed]

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

M. Lewenstein, Ph. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett.71(13), 1994–1997 (1993).
[CrossRef] [PubMed]

Dahlström, J. M.

E. Mansten, J. M. Dahlström, P. Johnsson, M. Swoboda, A. L’Huillier, and J. Mauritsson, “Spectral shaping of attosecond pulses using two-color laser fields,” New J. Phys.10(8), 083041 (2008).
[CrossRef]

Delone, N. B.

M. V. Ammosov, N. B. Delone, and V. P. Krainov, “Tunnel ionization of complex atoms and atomic ions by an alternating electromagnetic field,” Sov. Phys. JETP64, 1191–1194 (1986).

Emelin, M. Yu.

Fu, Y.

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Z. Zeng, Y. Cheng, Y. Fu, X. Song, R. Li, and Z. Xu, “Tunable high-order harmonic generation and the role of the folded quantum path,” Phys. Rev. A77(2), 023416 (2008).
[CrossRef]

Y. Yu, X. Song, Y. Fu, R. Li, Y. Cheng, and Z. Xu, “Theoretical investigation of single attosecond pulse generation in an orthogonally polarized two-color laser field,” Opt. Express16(2), 686–694 (2008).
[CrossRef] [PubMed]

X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
[CrossRef]

Gong, S.

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett.99(13), 133602 (2007).
[CrossRef] [PubMed]

Itatani, J.

J. Itatani, D. Zeidler, J. Levesque, M. Spanner, D. M. Villeneuve, and P. B. Corkum, “Controlling high harmonic generation with molecular wave packets,” Phys. Rev. Lett.94(12), 123902 (2005).
[CrossRef] [PubMed]

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

Ivanov, M.

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

Ivanov, M. Y.

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

M. Lewenstein, Ph. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

Johnsson, P.

E. Mansten, J. M. Dahlström, P. Johnsson, M. Swoboda, A. L’Huillier, and J. Mauritsson, “Spectral shaping of attosecond pulses using two-color laser fields,” New J. Phys.10(8), 083041 (2008).
[CrossRef]

Kieffer, J. C.

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

Kitamura, N.

Koshioka, M.

Krainov, V. P.

M. V. Ammosov, N. B. Delone, and V. P. Krainov, “Tunnel ionization of complex atoms and atomic ions by an alternating electromagnetic field,” Sov. Phys. JETP64, 1191–1194 (1986).

Krausz, F.

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

L’Huillier, A.

E. Mansten, J. M. Dahlström, P. Johnsson, M. Swoboda, A. L’Huillier, and J. Mauritsson, “Spectral shaping of attosecond pulses using two-color laser fields,” New J. Phys.10(8), 083041 (2008).
[CrossRef]

M. Lewenstein, Ph. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

Le, A.

A. Le, X. Tong, and C. D. Lin, “Evidence of two-center interference in high-order harmonic generation from CO2,” Phys. Rev. A73(4), 041402 (2006).
[CrossRef]

Lee, K. F.

D. Pavicić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett.98(24), 243001 (2007).
[CrossRef] [PubMed]

Levesque, J.

J. Itatani, D. Zeidler, J. Levesque, M. Spanner, D. M. Villeneuve, and P. B. Corkum, “Controlling high harmonic generation with molecular wave packets,” Phys. Rev. Lett.94(12), 123902 (2005).
[CrossRef] [PubMed]

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

Lewenstein, M.

M. Lewenstein, Ph. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

Li, G.

C. Zhang, J. Yao, J. Ni, G. Li, Y. Cheng, and Z. Xu, “Control of bandwidth and central wavelength of an enhanced extreme ultraviolet spectrum generated in shaped laser field,” Opt. Express20(15), 16544–16551 (2012).
[CrossRef]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

Li, R.

W. Yang, X. Song, Z. Zeng, R. Li, and Z. Xu, “Quantum path interferences of electron trajectories in two-center molecules,” Opt. Express18(3), 2558–2565 (2010).
[CrossRef] [PubMed]

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

Z. Zeng, Y. Cheng, Y. Fu, X. Song, R. Li, and Z. Xu, “Tunable high-order harmonic generation and the role of the folded quantum path,” Phys. Rev. A77(2), 023416 (2008).
[CrossRef]

Y. Yu, X. Song, Y. Fu, R. Li, Y. Cheng, and Z. Xu, “Theoretical investigation of single attosecond pulse generation in an orthogonally polarized two-color laser field,” Opt. Express16(2), 686–694 (2008).
[CrossRef] [PubMed]

X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
[CrossRef]

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu, “Generation of an extreme ultraviolet supercontinuum in a two-color laser field,” Phys. Rev. Lett.98(20), 203901 (2007).
[CrossRef] [PubMed]

Li, X.

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

Li, Y.

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Libby, S.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Lin, C. D.

A. Le, X. Tong, and C. D. Lin, “Evidence of two-center interference in high-order harmonic generation from CO2,” Phys. Rev. A73(4), 041402 (2006).
[CrossRef]

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Role of molecular orbital symmetry on the alignment dependence of high-order harmonic generation with molecules,” Phys. Rev. A71(6), 061801 (2005).
[CrossRef]

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Alignment dependence of high-order harmonic generation from N2 and O2 molecules in intense laser fields,” Phys. Rev. A72(3), 033412 (2005).
[CrossRef]

Z. Zhao, X. Tong, and C. D. Lin, “Alignment-dependent ionization probability of molecules in a double-pulse laser field,” Phys. Rev. A67(4), 043404 (2003).
[CrossRef]

X. Tong, Z. Zhao, and C. D. Lin, “Theory of molecular tunneling ionization,” Phys. Rev. A66(3), 033402 (2002).
[CrossRef]

B. Shan, X. Tong, Z. Zhao, Z. Chang, and C. D. Lin, “High-order harmonic cutoff extension of the O2 molecule due to ionization suppression,” Phys. Rev. A66(6), 061401 (2002).
[CrossRef]

Liu, P.

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

Liu, X.

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

London, R. A.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Mansten, E.

E. Mansten, J. M. Dahlström, P. Johnsson, M. Swoboda, A. L’Huillier, and J. Mauritsson, “Spectral shaping of attosecond pulses using two-color laser fields,” New J. Phys.10(8), 083041 (2008).
[CrossRef]

Masuhara, H.

Matthews, D.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Mauritsson, J.

E. Mansten, J. M. Dahlström, P. Johnsson, M. Swoboda, A. L’Huillier, and J. Mauritsson, “Spectral shaping of attosecond pulses using two-color laser fields,” New J. Phys.10(8), 083041 (2008).
[CrossRef]

Misawa, H.

Moreno, J. C.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Mrowka, S.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Ni, J.

C. Zhang, J. Yao, J. Ni, G. Li, Y. Cheng, and Z. Xu, “Control of bandwidth and central wavelength of an enhanced extreme ultraviolet spectrum generated in shaped laser field,” Opt. Express20(15), 16544–16551 (2012).
[CrossRef]

C. Zhang, J. Yao, and J. Ni, “Generation of isolated attosecond pulses of sub-atomic-time durations with multi-cycle chirped polarization gating pulses,” Opt. Express20(22), 24642–24649 (2012).
[CrossRef] [PubMed]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Niikura, H.

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

Pavicic, D.

D. Pavicić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett.98(24), 243001 (2007).
[CrossRef] [PubMed]

Pépin, H.

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

Rayner, D. M.

D. Pavicić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett.98(24), 243001 (2007).
[CrossRef] [PubMed]

Ress, D.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Ryabikin, M. Yu.

Sasaki, K.

Sergeev, A. M.

Shan, B.

B. Shan, X. Tong, Z. Zhao, Z. Chang, and C. D. Lin, “High-order harmonic cutoff extension of the O2 molecule due to ionization suppression,” Phys. Rev. A66(6), 061401 (2002).
[CrossRef]

Silva, L. B. D.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Song, X.

W. Yang, X. Song, Z. Zeng, R. Li, and Z. Xu, “Quantum path interferences of electron trajectories in two-center molecules,” Opt. Express18(3), 2558–2565 (2010).
[CrossRef] [PubMed]

Z. Zeng, Y. Cheng, Y. Fu, X. Song, R. Li, and Z. Xu, “Tunable high-order harmonic generation and the role of the folded quantum path,” Phys. Rev. A77(2), 023416 (2008).
[CrossRef]

Y. Yu, X. Song, Y. Fu, R. Li, Y. Cheng, and Z. Xu, “Theoretical investigation of single attosecond pulse generation in an orthogonally polarized two-color laser field,” Opt. Express16(2), 686–694 (2008).
[CrossRef] [PubMed]

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett.99(13), 133602 (2007).
[CrossRef] [PubMed]

X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
[CrossRef]

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu, “Generation of an extreme ultraviolet supercontinuum in a two-color laser field,” Phys. Rev. Lett.98(20), 203901 (2007).
[CrossRef] [PubMed]

Spanner, M.

J. Itatani, D. Zeidler, J. Levesque, M. Spanner, D. M. Villeneuve, and P. B. Corkum, “Controlling high harmonic generation with molecular wave packets,” Phys. Rev. Lett.94(12), 123902 (2005).
[CrossRef] [PubMed]

Swoboda, M.

E. Mansten, J. M. Dahlström, P. Johnsson, M. Swoboda, A. L’Huillier, and J. Mauritsson, “Spectral shaping of attosecond pulses using two-color laser fields,” New J. Phys.10(8), 083041 (2008).
[CrossRef]

Tong, X.

A. Le, X. Tong, and C. D. Lin, “Evidence of two-center interference in high-order harmonic generation from CO2,” Phys. Rev. A73(4), 041402 (2006).
[CrossRef]

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Role of molecular orbital symmetry on the alignment dependence of high-order harmonic generation with molecules,” Phys. Rev. A71(6), 061801 (2005).
[CrossRef]

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Alignment dependence of high-order harmonic generation from N2 and O2 molecules in intense laser fields,” Phys. Rev. A72(3), 033412 (2005).
[CrossRef]

Z. Zhao, X. Tong, and C. D. Lin, “Alignment-dependent ionization probability of molecules in a double-pulse laser field,” Phys. Rev. A67(4), 043404 (2003).
[CrossRef]

X. Tong, Z. Zhao, and C. D. Lin, “Theory of molecular tunneling ionization,” Phys. Rev. A66(3), 033402 (2002).
[CrossRef]

B. Shan, X. Tong, Z. Zhao, Z. Chang, and C. D. Lin, “High-order harmonic cutoff extension of the O2 molecule due to ionization suppression,” Phys. Rev. A66(6), 061401 (2002).
[CrossRef]

Trebes, J. E.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Villeneuve, D. M.

D. Pavicić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett.98(24), 243001 (2007).
[CrossRef] [PubMed]

J. Itatani, D. Zeidler, J. Levesque, M. Spanner, D. M. Villeneuve, and P. B. Corkum, “Controlling high harmonic generation with molecular wave packets,” Phys. Rev. Lett.94(12), 123902 (2005).
[CrossRef] [PubMed]

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

Wan, A. S.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Weber, F.

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Xiong, H.

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Xu, H.

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Xu, J.

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Xu, Z.

C. Zhang, J. Yao, J. Ni, G. Li, Y. Cheng, and Z. Xu, “Control of bandwidth and central wavelength of an enhanced extreme ultraviolet spectrum generated in shaped laser field,” Opt. Express20(15), 16544–16551 (2012).
[CrossRef]

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

W. Yang, X. Song, Z. Zeng, R. Li, and Z. Xu, “Quantum path interferences of electron trajectories in two-center molecules,” Opt. Express18(3), 2558–2565 (2010).
[CrossRef] [PubMed]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Z. Zeng, Y. Cheng, Y. Fu, X. Song, R. Li, and Z. Xu, “Tunable high-order harmonic generation and the role of the folded quantum path,” Phys. Rev. A77(2), 023416 (2008).
[CrossRef]

Y. Yu, X. Song, Y. Fu, R. Li, Y. Cheng, and Z. Xu, “Theoretical investigation of single attosecond pulse generation in an orthogonally polarized two-color laser field,” Opt. Express16(2), 686–694 (2008).
[CrossRef] [PubMed]

X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
[CrossRef]

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett.99(13), 133602 (2007).
[CrossRef] [PubMed]

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu, “Generation of an extreme ultraviolet supercontinuum in a two-color laser field,” Phys. Rev. Lett.98(20), 203901 (2007).
[CrossRef] [PubMed]

Yang, W.

W. Yang, X. Song, Z. Zeng, R. Li, and Z. Xu, “Quantum path interferences of electron trajectories in two-center molecules,” Opt. Express18(3), 2558–2565 (2010).
[CrossRef] [PubMed]

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett.99(13), 133602 (2007).
[CrossRef] [PubMed]

Yao, J.

C. Zhang, J. Yao, J. Ni, G. Li, Y. Cheng, and Z. Xu, “Control of bandwidth and central wavelength of an enhanced extreme ultraviolet spectrum generated in shaped laser field,” Opt. Express20(15), 16544–16551 (2012).
[CrossRef]

C. Zhang, J. Yao, and J. Ni, “Generation of isolated attosecond pulses of sub-atomic-time durations with multi-cycle chirped polarization gating pulses,” Opt. Express20(22), 24642–24649 (2012).
[CrossRef] [PubMed]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Yu, Y.

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Y. Yu, X. Song, Y. Fu, R. Li, Y. Cheng, and Z. Xu, “Theoretical investigation of single attosecond pulse generation in an orthogonally polarized two-color laser field,” Opt. Express16(2), 686–694 (2008).
[CrossRef] [PubMed]

Zeidler, D.

J. Itatani, D. Zeidler, J. Levesque, M. Spanner, D. M. Villeneuve, and P. B. Corkum, “Controlling high harmonic generation with molecular wave packets,” Phys. Rev. Lett.94(12), 123902 (2005).
[CrossRef] [PubMed]

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

Zeng, B.

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

Zeng, Z.

W. Yang, X. Song, Z. Zeng, R. Li, and Z. Xu, “Quantum path interferences of electron trajectories in two-center molecules,” Opt. Express18(3), 2558–2565 (2010).
[CrossRef] [PubMed]

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

Z. Zeng, Y. Cheng, Y. Fu, X. Song, R. Li, and Z. Xu, “Tunable high-order harmonic generation and the role of the folded quantum path,” Phys. Rev. A77(2), 023416 (2008).
[CrossRef]

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu, “Generation of an extreme ultraviolet supercontinuum in a two-color laser field,” Phys. Rev. Lett.98(20), 203901 (2007).
[CrossRef] [PubMed]

X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
[CrossRef]

Zhang, C.

Zhang, H.

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

Zhang, L.

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

Zhao, Z.

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Role of molecular orbital symmetry on the alignment dependence of high-order harmonic generation with molecules,” Phys. Rev. A71(6), 061801 (2005).
[CrossRef]

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Alignment dependence of high-order harmonic generation from N2 and O2 molecules in intense laser fields,” Phys. Rev. A72(3), 033412 (2005).
[CrossRef]

Z. Zhao, X. Tong, and C. D. Lin, “Alignment-dependent ionization probability of molecules in a double-pulse laser field,” Phys. Rev. A67(4), 043404 (2003).
[CrossRef]

X. Tong, Z. Zhao, and C. D. Lin, “Theory of molecular tunneling ionization,” Phys. Rev. A66(3), 033402 (2002).
[CrossRef]

B. Shan, X. Tong, Z. Zhao, Z. Chang, and C. D. Lin, “High-order harmonic cutoff extension of the O2 molecule due to ionization suppression,” Phys. Rev. A66(6), 061401 (2002).
[CrossRef]

Zheng, Y.

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

Zhou, X.

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Role of molecular orbital symmetry on the alignment dependence of high-order harmonic generation with molecules,” Phys. Rev. A71(6), 061801 (2005).
[CrossRef]

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Alignment dependence of high-order harmonic generation from N2 and O2 molecules in intense laser fields,” Phys. Rev. A72(3), 033412 (2005).
[CrossRef]

Zou, P.

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

Nature

J. Itatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, “Tomographic imaging of molecular orbitals,” Nature432(7019), 867–871 (2004).
[CrossRef] [PubMed]

New J. Phys.

E. Mansten, J. M. Dahlström, P. Johnsson, M. Swoboda, A. L’Huillier, and J. Mauritsson, “Spectral shaping of attosecond pulses using two-color laser fields,” New J. Phys.10(8), 083041 (2008).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

Z. Zeng, Y. Cheng, Y. Fu, X. Song, R. Li, and Z. Xu, “Tunable high-order harmonic generation and the role of the folded quantum path,” Phys. Rev. A77(2), 023416 (2008).
[CrossRef]

J. Yao, Y. Li, B. Zeng, H. Xiong, H. Xu, Y. Fu, W. Chu, J. Ni, X. Liu, J. Chen, Y. Cheng, and Z. Xu, “Generation of an XUV supercontinuum by optimization of the angle between polarization planes of two linearly polarized pulses in a multicycle two-color laser field,” Phys. Rev. A82(2), 023826 (2010).
[CrossRef]

J. Yao, B. Zeng, H. Xu, G. Li, W. Chu, J. Ni, H. Zhang, S. L. Chin, Y. Cheng, and Z. Xu, “High-brightness switchable multiwavelength remote laser in air,” Phys. Rev. A84(5), 051802 (2011).
[CrossRef]

J. Yao, Y. Cheng, J. Chen, H. Zhang, H. Xu, H. Xiong, B. Zeng, W. Chu, J. Ni, X. Liu, and Z. Xu, “Generation of narrow-bandwidth, tunable, coherent xuv radiation using high-order harmonic generation,” Phys. Rev. A83(3), 033835 (2011).
[CrossRef]

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Role of molecular orbital symmetry on the alignment dependence of high-order harmonic generation with molecules,” Phys. Rev. A71(6), 061801 (2005).
[CrossRef]

B. Shan, X. Tong, Z. Zhao, Z. Chang, and C. D. Lin, “High-order harmonic cutoff extension of the O2 molecule due to ionization suppression,” Phys. Rev. A66(6), 061401 (2002).
[CrossRef]

Y. Yu, J. Xu, Y. Fu, H. Xiong, H. Xu, J. Yao, B. Zeng, W. Chu, J. Chen, Y. Cheng, and Z. Xu, “Single attosecond pulse generation from aligned molecules using two-color polarization gating,” Phys. Rev. A80(5), 053423 (2009).
[CrossRef]

X. Zhou, X. Tong, Z. Zhao, and C. D. Lin, “Alignment dependence of high-order harmonic generation from N2 and O2 molecules in intense laser fields,” Phys. Rev. A72(3), 033412 (2005).
[CrossRef]

M. Y. Ivanov, T. Brabec, and N. Burnett, “Coulomb corrections and polarization effects in high-intensity high-harmonic emission,” Phys. Rev. A54(1), 742–745 (1996).
[CrossRef] [PubMed]

X. Song, Z. Zeng, Y. Fu, B. Cai, R. Li, Y. Cheng, and Z. Xu, “Quantum path control in few-optical-cycle regime,” Phys. Rev. A76(4), 043830 (2007).
[CrossRef]

M. Lewenstein, Ph. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of high-harmonic generation by low-frequency laser fields,” Phys. Rev. A49(3), 2117–2132 (1994).
[CrossRef] [PubMed]

X. Tong, Z. Zhao, and C. D. Lin, “Theory of molecular tunneling ionization,” Phys. Rev. A66(3), 033402 (2002).
[CrossRef]

Z. Zhao, X. Tong, and C. D. Lin, “Alignment-dependent ionization probability of molecules in a double-pulse laser field,” Phys. Rev. A67(4), 043404 (2003).
[CrossRef]

A. Le, X. Tong, and C. D. Lin, “Evidence of two-center interference in high-order harmonic generation from CO2,” Phys. Rev. A73(4), 041402 (2006).
[CrossRef]

Phys. Rev. Lett.

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, “Carrier-envelope phase dependence of few-cycle ultrashort laser pulse propagation in a polar molecule medium,” Phys. Rev. Lett.99(13), 133602 (2007).
[CrossRef] [PubMed]

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett.71(13), 1994–1997 (1993).
[CrossRef] [PubMed]

D. Pavicić, K. F. Lee, D. M. Rayner, P. B. Corkum, and D. M. Villeneuve, “Direct measurement of the angular dependence of ionization for N2, O2, and CO2 in intense laser fields,” Phys. Rev. Lett.98(24), 243001 (2007).
[CrossRef] [PubMed]

J. Itatani, D. Zeidler, J. Levesque, M. Spanner, D. M. Villeneuve, and P. B. Corkum, “Controlling high harmonic generation with molecular wave packets,” Phys. Rev. Lett.94(12), 123902 (2005).
[CrossRef] [PubMed]

Z. Zeng, Y. Cheng, X. Song, R. Li, and Z. Xu, “Generation of an extreme ultraviolet supercontinuum in a two-color laser field,” Phys. Rev. Lett.98(20), 203901 (2007).
[CrossRef] [PubMed]

Y. Zheng, Z. Zeng, P. Zou, L. Zhang, X. Li, P. Liu, R. Li, and Z. Xu, “Dynamic chirp control and pulse compression for attosecond high-order harmonic emission,” Phys. Rev. Lett.103(4), 043904 (2009).
[CrossRef] [PubMed]

L. B. D. Silva, T. W. Barbee, R. Cauble, P. Celliers, D. Ciarlo, S. Libby, R. A. London, D. Matthews, S. Mrowka, J. C. Moreno, D. Ress, J. E. Trebes, A. S. Wan, and F. Weber, “Electron density measurements of high density plasmas using soft X-ray laser interferometry,” Phys. Rev. Lett.74(20), 3991–3994 (1995).

Rev. Mod. Phys.

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

Sov. Phys. JETP

M. V. Ammosov, N. B. Delone, and V. P. Krainov, “Tunnel ionization of complex atoms and atomic ions by an alternating electromagnetic field,” Sov. Phys. JETP64, 1191–1194 (1986).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

(a) HHG spectra driven by the orthogonal-polarized two-color laser field at different relative phases. (b) Same as in Fig. 1(a) but in the linear scale.

Fig. 2
Fig. 2

Time-frequency analyses for y-component dipole moments corresponding to HHG spectra of Fig. 1 at (a) ϕ = 65° and (b) ϕ = 85°.

Fig. 3
Fig. 3

The minimum distance of electron from its parent ion (black solid curve), photon energy (red dashed curve) and ionization rate (gray filled area) as a function of birth time at (a) ϕ = 65° and (b) ϕ = 85°. 2D classical trajectories for the electrons ionized at t0 for (c) ϕ = 65° and (d) ϕ = 85°. Initial position of the electron is indicated by red dots in all figures.

Fig. 4
Fig. 4

HHG spectra (a) at different intensities of 800 nm pulses and (b) at different intensities of 1750 nm pulses.

Fig. 5
Fig. 5

The peak intensity of narrow-bandwidth HHG spectra as a function of molecular alignment angles.

Equations (1)

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

E s = E 1 exp[ 2ln(2) t 2 / τ 1 2 ]cos( ω 1 t ) x + E 2 exp[ 2ln(2) t 2 / τ 2 2 ]cos( ω 2 t+ϕ ) y .

Metrics