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Time-evolution of electron density in plasma measured by high-order harmonic generationHua Yang, Peng Liu, Haihe Lu, Xiaochun Ge, Ruxin Li, and Zhizhan Xu »View Author Affiliations
Hua Yang,1
Peng Liu,1,*
Haihe Lu,1
Xiaochun Ge,1
Ruxin Li,1,2
and Zhizhan Xu1
1State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China 2ruxinli@mail.shcnc.ac.cn *Corresponding author: peng@mail.siom.ac.cn |
Optics Express, Vol. 20, Issue 17, pp. 19449-19454 (2012)
http://dx.doi.org/10.1364/OE.20.019449
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Abstract
We propose a new method of measuring the electron density in plasma by high-order harmonic generation (HHG) of intense two-color femtosecond (fs) laser. As the 800 nm fundamental beam is introduced after its second harmonic generation (SHG) beam, the recovery of HHG by the fundamental pulses at a delay of ~40 ps indicates the decay time of the generated plasma. The electron-ion recombination rate and electron density decay are revealed by fitting the harmonic emission to the model that accounts for depletion of neutral atoms, phase mismatch and re-absorption of HHG.
© 2012 OSA
OCIS Codes
(350.5400) Other areas of optics : Plasmas
(020.2649) Atomic and molecular physics : Strong field laser physics
ToC Category:
Atomic and Molecular Physics
History
Original Manuscript: June 26, 2012
Revised Manuscript: July 19, 2012
Manuscript Accepted: July 27, 2012
Published: August 9, 2012
Citation
Hua Yang, Peng Liu, Haihe Lu, Xiaochun Ge, Ruxin Li, and Zhizhan Xu, "Time-evolution of electron density in plasma measured by high-order harmonic generation," Opt. Express 20, 19449-19454 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-17-19449
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References
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- F. J. Mehr and M. A. Biondi, “Electron-temperature dependence of electron-ion recombination in Argon,” Phys. Rev.176(1), 322–326 (1968). [CrossRef]
- I. M. Littlewood, M. C. Cornell, and K. J. Nygaard, “Electron-ion recombination in gas mixtures of helium, nitrogen, and carbon dioxide,” J. Chem. Phys.81(3), 1264–1270 (1984). [CrossRef]
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- J. G. Xie, B. Luo, and D. Lo, “Electron-ion recombination in high pressure Ar/Xe mixtures,” J. Phys. At. Mol. Opt. Phys.24(13), 3077–3089 (1991). [CrossRef]
- N. L. Aleksandrov, S. V. Kindysheva, A. A. Kirpichnikov, I. N. Kosarev, S. M. Starikovskaia, and A. Y. Starikovskii, “Plasma decay in N2,CO2 and H2O excited by high-voltage nanosecond discharge,” J. Phys. D Appl. Phys.40(15), 4493–4502 (2007). [CrossRef]
- S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun.181(1-3), 123–127 (2000). [CrossRef]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- P. B. Corkum and F. Krausz, “Attosecond science,” Nat. Phys.3(6), 381–387 (2007). [CrossRef]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
- H. Niikura, N. Dudovich, D. M. Villeneuve, and P. B. Corkum, “Mapping molecular orbital symmetry on high-order harmonic generation spectrum using two-color laser fields,” Phys. Rev. Lett.105(5), 053003 (2010). [CrossRef] [PubMed]
- G. L. Yudin and M. Yu. Ivanov, “Nonadiabatic tunnel ionization: Looking inside a laser cycle,” Phys. Rev. A64(1), 013409 (2001). [CrossRef]
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- C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett.83(11), 2187–2190 (1999). [CrossRef]
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- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- B. Zhou, S. Akturk, B. Prade, Y. B. André, A. Houard, Y. Liu, M. Franco, C. D’Amico, E. Salmon, Z. Q. Hao, N. Lascoux, and A. Mysyrowicz, “Revival of femtosecond laser plasma filaments in air by a nanosecond laser,” Opt. Express17(14), 11450–11456 (2009). [CrossRef] [PubMed]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- N. L. Aleksandrov, S. V. Kindysheva, A. A. Kirpichnikov, I. N. Kosarev, S. M. Starikovskaia, and A. Y. Starikovskii, “Plasma decay in N2,CO2 and H2O excited by high-voltage nanosecond discharge,” J. Phys. D Appl. Phys.40(15), 4493–4502 (2007). [CrossRef]
- J. M. Warman, E. S. Sennhauser, and D. A. Armstrong, “Three body electron-ion recombination in molecular gases,” J. Chem. Phys.70(2), 995–999 (1979). [CrossRef]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett.83(11), 2187–2190 (1999). [CrossRef]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- L. Formmhold, M. A. Biondi, and F. J. Mehr, “Electron–temperature dependence of electron-ion recombination in Neon,” Phys. Rev.165(1), 44–52 (1968). [CrossRef]
- F. J. Mehr and M. A. Biondi, “Electron-temperature dependence of electron-ion recombination in Argon,” Phys. Rev.176(1), 322–326 (1968). [CrossRef]
- M. A. Biondi, “Studies of the mechanism of electron-ion recombination. I,” Phys. Rev.129(3), 1181–1188 (1963). [CrossRef]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- H. Niikura, N. Dudovich, D. M. Villeneuve, and P. B. Corkum, “Mapping molecular orbital symmetry on high-order harmonic generation spectrum using two-color laser fields,” Phys. Rev. Lett.105(5), 053003 (2010). [CrossRef] [PubMed]
- P. B. Corkum and F. Krausz, “Attosecond science,” Nat. Phys.3(6), 381–387 (2007). [CrossRef]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
- I. M. Littlewood, M. C. Cornell, and K. J. Nygaard, “Electron-ion recombination in gas mixtures of helium, nitrogen, and carbon dioxide,” J. Chem. Phys.81(3), 1264–1270 (1984). [CrossRef]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- H. Niikura, N. Dudovich, D. M. Villeneuve, and P. B. Corkum, “Mapping molecular orbital symmetry on high-order harmonic generation spectrum using two-color laser fields,” Phys. Rev. Lett.105(5), 053003 (2010). [CrossRef] [PubMed]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
- C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett.83(11), 2187–2190 (1999). [CrossRef]
- L. Formmhold, M. A. Biondi, and F. J. Mehr, “Electron–temperature dependence of electron-ion recombination in Neon,” Phys. Rev.165(1), 44–52 (1968). [CrossRef]
- B. Zhou, S. Akturk, B. Prade, Y. B. André, A. Houard, Y. Liu, M. Franco, C. D’Amico, E. Salmon, Z. Q. Hao, N. Lascoux, and A. Mysyrowicz, “Revival of femtosecond laser plasma filaments in air by a nanosecond laser,” Opt. Express17(14), 11450–11456 (2009). [CrossRef] [PubMed]
- S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun.181(1-3), 123–127 (2000). [CrossRef]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- B. Zhou, S. Akturk, B. Prade, Y. B. André, A. Houard, Y. Liu, M. Franco, C. D’Amico, E. Salmon, Z. Q. Hao, N. Lascoux, and A. Mysyrowicz, “Revival of femtosecond laser plasma filaments in air by a nanosecond laser,” Opt. Express17(14), 11450–11456 (2009). [CrossRef] [PubMed]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett.83(11), 2187–2190 (1999). [CrossRef]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
- G. L. Yudin and M. Yu. Ivanov, “Nonadiabatic tunnel ionization: Looking inside a laser cycle,” Phys. Rev. A64(1), 013409 (2001). [CrossRef]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett.83(11), 2187–2190 (1999). [CrossRef]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- N. L. Aleksandrov, S. V. Kindysheva, A. A. Kirpichnikov, I. N. Kosarev, S. M. Starikovskaia, and A. Y. Starikovskii, “Plasma decay in N2,CO2 and H2O excited by high-voltage nanosecond discharge,” J. Phys. D Appl. Phys.40(15), 4493–4502 (2007). [CrossRef]
- N. L. Aleksandrov, S. V. Kindysheva, A. A. Kirpichnikov, I. N. Kosarev, S. M. Starikovskaia, and A. Y. Starikovskii, “Plasma decay in N2,CO2 and H2O excited by high-voltage nanosecond discharge,” J. Phys. D Appl. Phys.40(15), 4493–4502 (2007). [CrossRef]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- N. L. Aleksandrov, S. V. Kindysheva, A. A. Kirpichnikov, I. N. Kosarev, S. M. Starikovskaia, and A. Y. Starikovskii, “Plasma decay in N2,CO2 and H2O excited by high-voltage nanosecond discharge,” J. Phys. D Appl. Phys.40(15), 4493–4502 (2007). [CrossRef]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- P. B. Corkum and F. Krausz, “Attosecond science,” Nat. Phys.3(6), 381–387 (2007). [CrossRef]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- I. M. Littlewood, M. C. Cornell, and K. J. Nygaard, “Electron-ion recombination in gas mixtures of helium, nitrogen, and carbon dioxide,” J. Chem. Phys.81(3), 1264–1270 (1984). [CrossRef]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- J. G. Xie, B. Luo, and D. Lo, “Electron-ion recombination in high pressure Ar/Xe mixtures,” J. Phys. At. Mol. Opt. Phys.24(13), 3077–3089 (1991). [CrossRef]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- J. G. Xie, B. Luo, and D. Lo, “Electron-ion recombination in high pressure Ar/Xe mixtures,” J. Phys. At. Mol. Opt. Phys.24(13), 3077–3089 (1991). [CrossRef]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- L. Formmhold, M. A. Biondi, and F. J. Mehr, “Electron–temperature dependence of electron-ion recombination in Neon,” Phys. Rev.165(1), 44–52 (1968). [CrossRef]
- F. J. Mehr and M. A. Biondi, “Electron-temperature dependence of electron-ion recombination in Argon,” Phys. Rev.176(1), 322–326 (1968). [CrossRef]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett.83(11), 2187–2190 (1999). [CrossRef]
- B. Zhou, S. Akturk, B. Prade, Y. B. André, A. Houard, Y. Liu, M. Franco, C. D’Amico, E. Salmon, Z. Q. Hao, N. Lascoux, and A. Mysyrowicz, “Revival of femtosecond laser plasma filaments in air by a nanosecond laser,” Opt. Express17(14), 11450–11456 (2009). [CrossRef] [PubMed]
- S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun.181(1-3), 123–127 (2000). [CrossRef]
- H. Niikura, N. Dudovich, D. M. Villeneuve, and P. B. Corkum, “Mapping molecular orbital symmetry on high-order harmonic generation spectrum using two-color laser fields,” Phys. Rev. Lett.105(5), 053003 (2010). [CrossRef] [PubMed]
- I. M. Littlewood, M. C. Cornell, and K. J. Nygaard, “Electron-ion recombination in gas mixtures of helium, nitrogen, and carbon dioxide,” J. Chem. Phys.81(3), 1264–1270 (1984). [CrossRef]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- B. Zhou, S. Akturk, B. Prade, Y. B. André, A. Houard, Y. Liu, M. Franco, C. D’Amico, E. Salmon, Z. Q. Hao, N. Lascoux, and A. Mysyrowicz, “Revival of femtosecond laser plasma filaments in air by a nanosecond laser,” Opt. Express17(14), 11450–11456 (2009). [CrossRef] [PubMed]
- S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun.181(1-3), 123–127 (2000). [CrossRef]
- C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett.83(11), 2187–2190 (1999). [CrossRef]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- J. M. Warman, E. S. Sennhauser, and D. A. Armstrong, “Three body electron-ion recombination in molecular gases,” J. Chem. Phys.70(2), 995–999 (1979). [CrossRef]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
- N. L. Aleksandrov, S. V. Kindysheva, A. A. Kirpichnikov, I. N. Kosarev, S. M. Starikovskaia, and A. Y. Starikovskii, “Plasma decay in N2,CO2 and H2O excited by high-voltage nanosecond discharge,” J. Phys. D Appl. Phys.40(15), 4493–4502 (2007). [CrossRef]
- N. L. Aleksandrov, S. V. Kindysheva, A. A. Kirpichnikov, I. N. Kosarev, S. M. Starikovskaia, and A. Y. Starikovskii, “Plasma decay in N2,CO2 and H2O excited by high-voltage nanosecond discharge,” J. Phys. D Appl. Phys.40(15), 4493–4502 (2007). [CrossRef]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun.181(1-3), 123–127 (2000). [CrossRef]
- H. Niikura, N. Dudovich, D. M. Villeneuve, and P. B. Corkum, “Mapping molecular orbital symmetry on high-order harmonic generation spectrum using two-color laser fields,” Phys. Rev. Lett.105(5), 053003 (2010). [CrossRef] [PubMed]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- J. M. Warman, E. S. Sennhauser, and D. A. Armstrong, “Three body electron-ion recombination in molecular gases,” J. Chem. Phys.70(2), 995–999 (1979). [CrossRef]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- J. G. Xie, B. Luo, and D. Lo, “Electron-ion recombination in high pressure Ar/Xe mixtures,” J. Phys. At. Mol. Opt. Phys.24(13), 3077–3089 (1991). [CrossRef]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- G. L. Yudin and M. Yu. Ivanov, “Nonadiabatic tunnel ionization: Looking inside a laser cycle,” Phys. Rev. A64(1), 013409 (2001). [CrossRef]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
Appl. Phys. B
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
J. Chem. Phys.
- I. M. Littlewood, M. C. Cornell, and K. J. Nygaard, “Electron-ion recombination in gas mixtures of helium, nitrogen, and carbon dioxide,” J. Chem. Phys.81(3), 1264–1270 (1984). [CrossRef]
- J. M. Warman, E. S. Sennhauser, and D. A. Armstrong, “Three body electron-ion recombination in molecular gases,” J. Chem. Phys.70(2), 995–999 (1979). [CrossRef]
J. Phys. At. Mol. Opt. Phys.
- J. G. Xie, B. Luo, and D. Lo, “Electron-ion recombination in high pressure Ar/Xe mixtures,” J. Phys. At. Mol. Opt. Phys.24(13), 3077–3089 (1991). [CrossRef]
J. Phys. D Appl. Phys.
- N. L. Aleksandrov, S. V. Kindysheva, A. A. Kirpichnikov, I. N. Kosarev, S. M. Starikovskaia, and A. Y. Starikovskii, “Plasma decay in N2,CO2 and H2O excited by high-voltage nanosecond discharge,” J. Phys. D Appl. Phys.40(15), 4493–4502 (2007). [CrossRef]
Nat. Phys.
- P. B. Corkum and F. Krausz, “Attosecond science,” Nat. Phys.3(6), 381–387 (2007). [CrossRef]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
Nature
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
Opt. Commun.
- S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun.181(1-3), 123–127 (2000). [CrossRef]
Opt. Express
- B. Zhou, S. Akturk, B. Prade, Y. B. André, A. Houard, Y. Liu, M. Franco, C. D’Amico, E. Salmon, Z. Q. Hao, N. Lascoux, and A. Mysyrowicz, “Revival of femtosecond laser plasma filaments in air by a nanosecond laser,” Opt. Express17(14), 11450–11456 (2009). [CrossRef] [PubMed]
Phys. Rev.
- M. A. Biondi, “Studies of the mechanism of electron-ion recombination. I,” Phys. Rev.129(3), 1181–1188 (1963). [CrossRef]
- L. Formmhold, M. A. Biondi, and F. J. Mehr, “Electron–temperature dependence of electron-ion recombination in Neon,” Phys. Rev.165(1), 44–52 (1968). [CrossRef]
- F. J. Mehr and M. A. Biondi, “Electron-temperature dependence of electron-ion recombination in Argon,” Phys. Rev.176(1), 322–326 (1968). [CrossRef]
Phys. Rev. A
- G. L. Yudin and M. Yu. Ivanov, “Nonadiabatic tunnel ionization: Looking inside a laser cycle,” Phys. Rev. A64(1), 013409 (2001). [CrossRef]
Phys. Rev. E Stat. Nonlin. Soft Matter Phys.
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
Phys. Rev. Lett.
- H. Niikura, N. Dudovich, D. M. Villeneuve, and P. B. Corkum, “Mapping molecular orbital symmetry on high-order harmonic generation spectrum using two-color laser fields,” Phys. Rev. Lett.105(5), 053003 (2010). [CrossRef] [PubMed]
- C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett.83(11), 2187–2190 (1999). [CrossRef]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
2012, Marcus, Phys. Rev. Lett.
- G. Marcus, W. Helml, X. Gu, Y. Deng, R. Hartmann, T. Kobayashi, L. Strueder, R. Kienberger, and F. Krausz, “Subfemtosecond K-Shell Excitation with a Few-Cycle Infrared Laser Field,” Phys. Rev. Lett.108(2), 023201 (2012). [CrossRef] [PubMed]
- H. Niikura, N. Dudovich, D. M. Villeneuve, and P. B. Corkum, “Mapping molecular orbital symmetry on high-order harmonic generation spectrum using two-color laser fields,” Phys. Rev. Lett.105(5), 053003 (2010). [CrossRef] [PubMed]
- P. B. Corkum and F. Krausz, “Attosecond science,” Nat. Phys.3(6), 381–387 (2007). [CrossRef]
- N. L. Aleksandrov, S. V. Kindysheva, A. A. Kirpichnikov, I. N. Kosarev, S. M. Starikovskaia, and A. Y. Starikovskii, “Plasma decay in N2,CO2 and H2O excited by high-voltage nanosecond discharge,” J. Phys. D Appl. Phys.40(15), 4493–4502 (2007). [CrossRef]
- N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Yu. Ivanov, D. M. Villeneuve, and P. B. Corkum, “Measuring and controlling the birth of attosecond XUV pulses,” Nat. Phys.2(11), 781–786 (2006). [CrossRef]
- Z. Q. Hao, J. Zhang, Y. T. Li, X. Lu, X. H. Yuan, Z. Y. Zheng, Z. H. Wang, W. J. Ling, and Z. Y. Wei, “Prolongation of the fluorescence lifetime of plasma channels in air induced by femtosecond laser pulses,” Appl. Phys. B80(4-5), 627–630 (2005). [CrossRef]
- J. S. Liu, Z. L. Duan, Z. N. Zeng, X. H. Xie, Y. P. Deng, R. X. Li, Z. Z. Xu, and S. L. Chin, “Time-resolved investigation of low-density plasma channels produced by a kilohertz femtosecond laser in air,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(2), 026412 (2005). [CrossRef] [PubMed]
- A. Paul, R. A. Bartels, R. Tobey, H. Green, S. Weiman, I. P. Christov, M. M. Murnane, H. C. Kapteyn, and S. Backus, “Quasi-phase-matched generation of coherent extreme-ultraviolet light,” Nature421(6918), 51–54 (2003). [CrossRef] [PubMed]
- G. L. Yudin and M. Yu. Ivanov, “Nonadiabatic tunnel ionization: Looking inside a laser cycle,” Phys. Rev. A64(1), 013409 (2001). [CrossRef]
- S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun.181(1-3), 123–127 (2000). [CrossRef]
- E. Constant, D. Garzella, P. Breger, E. Mével, C. Dorrer, C. Le Blanc, F. Salin, and P. Agostini, “Optimizing high harmonic generation in absorbing gases: model and experiment,” Phys. Rev. Lett.82(8), 1668–1671 (1999). [CrossRef]
- C. G. Durfee, A. R. Rundquist, S. Backus, C. Herne, M. M. Murnane, and H. C. Kapteyn, “Phase matching of high-order harmonics in hollow waveguides,” Phys. Rev. Lett.83(11), 2187–2190 (1999). [CrossRef]
- J. G. Xie, B. Luo, and D. Lo, “Electron-ion recombination in high pressure Ar/Xe mixtures,” J. Phys. At. Mol. Opt. Phys.24(13), 3077–3089 (1991). [CrossRef]
- I. M. Littlewood, M. C. Cornell, and K. J. Nygaard, “Electron-ion recombination in gas mixtures of helium, nitrogen, and carbon dioxide,” J. Chem. Phys.81(3), 1264–1270 (1984). [CrossRef]
- J. M. Warman, E. S. Sennhauser, and D. A. Armstrong, “Three body electron-ion recombination in molecular gases,” J. Chem. Phys.70(2), 995–999 (1979). [CrossRef]
- L. Formmhold, M. A. Biondi, and F. J. Mehr, “Electron–temperature dependence of electron-ion recombination in Neon,” Phys. Rev.165(1), 44–52 (1968). [CrossRef]
- F. J. Mehr and M. A. Biondi, “Electron-temperature dependence of electron-ion recombination in Argon,” Phys. Rev.176(1), 322–326 (1968). [CrossRef]
- M. A. Biondi, “Studies of the mechanism of electron-ion recombination. I,” Phys. Rev.129(3), 1181–1188 (1963). [CrossRef]
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