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Nonequilibrium evolution of strong-field anisotropic ionized electrons towards a delayed plasma-stateB. Pasenow, J. V. Moloney, S. W. Koch, S. H. Chen, A. Becker, and A. Jaroń-Becker »View Author Affiliations
B. Pasenow,1,2,*
J. V. Moloney,1,2
S. W. Koch,2,3
S. H. Chen,4
A. Becker,4
and A. Jaroń-Becker4
1Arizona Center for Mathematical Sciences, Department of Mathematics, University of Arizona, Tucson, Arizona 85721, USA 2College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA 3Department of Physics and Material Sciences Center, Philipps-University, 35032 Marburg, Germany 4JILA and Department of Physics, University of Colorado at Boulder, Boulder, Colorado 80309-0440, USA *Corresponding author: pasenow@acms.arizona.edu |
Optics Express, Vol. 20, Issue 3, pp. 2310-2318 (2012)
http://dx.doi.org/10.1364/OE.20.002310
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Abstract
Rigorous quantum calculations of the femtosecond ionization of hydrogen atoms in air lead to highly anisotropic electron and ion angular (momentum) distributions. A quantum Monte-Carlo analysis of the subsequent many-body dynamics reveals two distinct relaxation steps, first to a nearly isotropic hot nonequilibrium and then to a quasi-equilibrium configuration. The collective isotropic plasma state is reached on a picosecond timescale well after the ultrashort ionizing pulse has passed.
© 2012 OSA
OCIS Codes
(020.0020) Atomic and molecular physics : Atomic and molecular physics
(260.5210) Physical optics : Photoionization
(320.0320) Ultrafast optics : Ultrafast optics
(350.5400) Other areas of optics : Plasmas
ToC Category:
Atomic and Molecular Physics
History
Original Manuscript: November 3, 2011
Revised Manuscript: December 20, 2011
Manuscript Accepted: December 23, 2011
Published: January 18, 2012
Citation
B. Pasenow, J. V. Moloney, S. W. Koch, S. H. Chen, A. Becker, and A. Jaroń-Becker, "Nonequilibrium evolution of strong-field anisotropic ionized electrons towards a delayed plasma-state," Opt. Express 20, 2310-2318 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-3-2310
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References
- T. Popmintchev, M.-C. Chen, P. Arpin, M. M. Murnane, and H. C. Kapteyn, “The attosecond nonlinear optics of bright coherent X-ray generation,” Nat. Photonics4, 822–832 (2010). [CrossRef]
- A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep.441, 47–189 (2007). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- D. G. Arbo, S. Yoshida, E. Persson, K. I. Dimitriou, and J. Burgdorfer, “Interference oscillations in the angular distribution of laser-ionized electrons near ionization threshold,” Phys. Rev. Lett.96, 143003 (2006). [CrossRef] [PubMed]
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [CrossRef]
- L. D. Landau and E. M. Lifshitz, Quantum Mechanics, 3rd ed. (Butterworth-Heinemann, 1981)
- Z. Sun, J. Chen, and W. Rudolph, “Determination of the transient electron temperature in a femtosecond-laser-induced air plasma filament,” Phys. Rev. E83, 046408 (2011). [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, 123–127 (2000). [CrossRef]
- Y. H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced filaments,” Phys. Rev. Lett.105, 215005 (2010). [CrossRef]
- P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following 6-photon ionization of xeon atoms,” Phys. Rev. Lett.42, 1127–1130 (1979). [CrossRef]
- M. Wickenhauser, X. M. Tong, D. G. Arbo, J. Burgdoerfer, and C. D. Lin, “Signatures of tunneling and multiphoton ionization in the electron-momentum distributions of atoms by intense few-cycle laser pulses,” Phys. Rev. A74, 041402 (2006). [CrossRef]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [CrossRef] [PubMed]
- A. A. Silaev and N. V. Vvedenskii, “Residual-current excitation in plasmas produced by few-cycle laser pulses,” PRL102, 115005 (2009). [CrossRef]
- see, e.g. H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 5th ed. (World Scientific Publ., 2009), Chap. 8.
- C. Jacoboni and P. Lugli, The Monte Carlo Method for Semiconductor Device Simulation (Springer-Verlag, 1989). [CrossRef]
- see, e.g., R. Brunetti, C. Jacoboni, A. Matulionis, and V. Dienys, “Effect of interparticle collisions on energy relaxation of carriers in semiconductors,” Physica B134, 369–373 (1985) for self-scattering method for el.-el. Coulomb scattering. [CrossRef]
- P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following 6-photon ionization of xeon atoms,” Phys. Rev. Lett.42, 1127–1130 (1979). [CrossRef]
- Y. H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced filaments,” Phys. Rev. Lett.105, 215005 (2010). [CrossRef]
- M. Wickenhauser, X. M. Tong, D. G. Arbo, J. Burgdoerfer, and C. D. Lin, “Signatures of tunneling and multiphoton ionization in the electron-momentum distributions of atoms by intense few-cycle laser pulses,” Phys. Rev. A74, 041402 (2006). [CrossRef]
- D. G. Arbo, S. Yoshida, E. Persson, K. I. Dimitriou, and J. Burgdorfer, “Interference oscillations in the angular distribution of laser-ionized electrons near ionization threshold,” Phys. Rev. Lett.96, 143003 (2006). [CrossRef] [PubMed]
- T. Popmintchev, M.-C. Chen, P. Arpin, M. M. Murnane, and H. C. Kapteyn, “The attosecond nonlinear optics of bright coherent X-ray generation,” Nat. Photonics4, 822–832 (2010). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- see, e.g., R. Brunetti, C. Jacoboni, A. Matulionis, and V. Dienys, “Effect of interparticle collisions on energy relaxation of carriers in semiconductors,” Physica B134, 369–373 (1985) for self-scattering method for el.-el. Coulomb scattering. [CrossRef]
- M. Wickenhauser, X. M. Tong, D. G. Arbo, J. Burgdoerfer, and C. D. Lin, “Signatures of tunneling and multiphoton ionization in the electron-momentum distributions of atoms by intense few-cycle laser pulses,” Phys. Rev. A74, 041402 (2006). [CrossRef]
- D. G. Arbo, S. Yoshida, E. Persson, K. I. Dimitriou, and J. Burgdorfer, “Interference oscillations in the angular distribution of laser-ionized electrons near ionization threshold,” Phys. Rev. Lett.96, 143003 (2006). [CrossRef] [PubMed]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- Z. Sun, J. Chen, and W. Rudolph, “Determination of the transient electron temperature in a femtosecond-laser-induced air plasma filament,” Phys. Rev. E83, 046408 (2011). [CrossRef]
- T. Popmintchev, M.-C. Chen, P. Arpin, M. M. Murnane, and H. C. Kapteyn, “The attosecond nonlinear optics of bright coherent X-ray generation,” Nat. Photonics4, 822–832 (2010). [CrossRef]
- Y. H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced filaments,” Phys. Rev. Lett.105, 215005 (2010). [CrossRef]
- A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep.441, 47–189 (2007). [CrossRef]
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [CrossRef]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [CrossRef] [PubMed]
- see, e.g., R. Brunetti, C. Jacoboni, A. Matulionis, and V. Dienys, “Effect of interparticle collisions on energy relaxation of carriers in semiconductors,” Physica B134, 369–373 (1985) for self-scattering method for el.-el. Coulomb scattering. [CrossRef]
- D. G. Arbo, S. Yoshida, E. Persson, K. I. Dimitriou, and J. Burgdorfer, “Interference oscillations in the angular distribution of laser-ionized electrons near ionization threshold,” Phys. Rev. Lett.96, 143003 (2006). [CrossRef] [PubMed]
- P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following 6-photon ionization of xeon atoms,” Phys. Rev. Lett.42, 1127–1130 (1979). [CrossRef]
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [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, 123–127 (2000). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [CrossRef] [PubMed]
- see, e.g. H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 5th ed. (World Scientific Publ., 2009), Chap. 8.
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- see, e.g., R. Brunetti, C. Jacoboni, A. Matulionis, and V. Dienys, “Effect of interparticle collisions on energy relaxation of carriers in semiconductors,” Physica B134, 369–373 (1985) for self-scattering method for el.-el. Coulomb scattering. [CrossRef]
- C. Jacoboni and P. Lugli, The Monte Carlo Method for Semiconductor Device Simulation (Springer-Verlag, 1989). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- T. Popmintchev, M.-C. Chen, P. Arpin, M. M. Murnane, and H. C. Kapteyn, “The attosecond nonlinear optics of bright coherent X-ray generation,” Nat. Photonics4, 822–832 (2010). [CrossRef]
- see, e.g. H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 5th ed. (World Scientific Publ., 2009), Chap. 8.
- L. D. Landau and E. M. Lifshitz, Quantum Mechanics, 3rd ed. (Butterworth-Heinemann, 1981)
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- L. D. Landau and E. M. Lifshitz, Quantum Mechanics, 3rd ed. (Butterworth-Heinemann, 1981)
- M. Wickenhauser, X. M. Tong, D. G. Arbo, J. Burgdoerfer, and C. D. Lin, “Signatures of tunneling and multiphoton ionization in the electron-momentum distributions of atoms by intense few-cycle laser pulses,” Phys. Rev. A74, 041402 (2006). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- C. Jacoboni and P. Lugli, The Monte Carlo Method for Semiconductor Device Simulation (Springer-Verlag, 1989). [CrossRef]
- P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following 6-photon ionization of xeon atoms,” Phys. Rev. Lett.42, 1127–1130 (1979). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- see, e.g., R. Brunetti, C. Jacoboni, A. Matulionis, and V. Dienys, “Effect of interparticle collisions on energy relaxation of carriers in semiconductors,” Physica B134, 369–373 (1985) for self-scattering method for el.-el. Coulomb scattering. [CrossRef]
- Y. H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced filaments,” Phys. Rev. Lett.105, 215005 (2010). [CrossRef]
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- T. Popmintchev, M.-C. Chen, P. Arpin, M. M. Murnane, and H. C. Kapteyn, “The attosecond nonlinear optics of bright coherent X-ray generation,” Nat. Photonics4, 822–832 (2010). [CrossRef]
- A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep.441, 47–189 (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, 123–127 (2000). [CrossRef]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [CrossRef] [PubMed]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [CrossRef] [PubMed]
- D. G. Arbo, S. Yoshida, E. Persson, K. I. Dimitriou, and J. Burgdorfer, “Interference oscillations in the angular distribution of laser-ionized electrons near ionization threshold,” Phys. Rev. Lett.96, 143003 (2006). [CrossRef] [PubMed]
- P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following 6-photon ionization of xeon atoms,” Phys. Rev. Lett.42, 1127–1130 (1979). [CrossRef]
- T. Popmintchev, M.-C. Chen, P. Arpin, M. M. Murnane, and H. C. Kapteyn, “The attosecond nonlinear optics of bright coherent X-ray generation,” Nat. Photonics4, 822–832 (2010). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [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, 123–127 (2000). [CrossRef]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [CrossRef] [PubMed]
- P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following 6-photon ionization of xeon atoms,” Phys. Rev. Lett.42, 1127–1130 (1979). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [CrossRef]
- Z. Sun, J. Chen, and W. Rudolph, “Determination of the transient electron temperature in a femtosecond-laser-induced air plasma filament,” Phys. Rev. E83, 046408 (2011). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [CrossRef]
- A. A. Silaev and N. V. Vvedenskii, “Residual-current excitation in plasmas produced by few-cycle laser pulses,” PRL102, 115005 (2009). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [CrossRef] [PubMed]
- Z. Sun, J. Chen, and W. Rudolph, “Determination of the transient electron temperature in a femtosecond-laser-induced air plasma filament,” Phys. Rev. E83, 046408 (2011). [CrossRef]
- M. Wickenhauser, X. M. Tong, D. G. Arbo, J. Burgdoerfer, and C. D. Lin, “Signatures of tunneling and multiphoton ionization in the electron-momentum distributions of atoms by intense few-cycle laser pulses,” Phys. Rev. A74, 041402 (2006). [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, 123–127 (2000). [CrossRef]
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- Y. H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced filaments,” Phys. Rev. Lett.105, 215005 (2010). [CrossRef]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [CrossRef] [PubMed]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- A. A. Silaev and N. V. Vvedenskii, “Residual-current excitation in plasmas produced by few-cycle laser pulses,” PRL102, 115005 (2009). [CrossRef]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [CrossRef] [PubMed]
- M. Wickenhauser, X. M. Tong, D. G. Arbo, J. Burgdoerfer, and C. D. Lin, “Signatures of tunneling and multiphoton ionization in the electron-momentum distributions of atoms by intense few-cycle laser pulses,” Phys. Rev. A74, 041402 (2006). [CrossRef]
- D. G. Arbo, S. Yoshida, E. Persson, K. I. Dimitriou, and J. Burgdorfer, “Interference oscillations in the angular distribution of laser-ionized electrons near ionization threshold,” Phys. Rev. Lett.96, 143003 (2006). [CrossRef] [PubMed]
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [CrossRef]
J. Phys. B
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [CrossRef]
Nat. Photonics
- T. Popmintchev, M.-C. Chen, P. Arpin, M. M. Murnane, and H. C. Kapteyn, “The attosecond nonlinear optics of bright coherent X-ray generation,” Nat. Photonics4, 822–832 (2010). [CrossRef]
Nature
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [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, 123–127 (2000). [CrossRef]
Phys. Rep.
- A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep.441, 47–189 (2007). [CrossRef]
Phys. Rev. A
- M. Wickenhauser, X. M. Tong, D. G. Arbo, J. Burgdoerfer, and C. D. Lin, “Signatures of tunneling and multiphoton ionization in the electron-momentum distributions of atoms by intense few-cycle laser pulses,” Phys. Rev. A74, 041402 (2006). [CrossRef]
Phys. Rev. E
- Z. Sun, J. Chen, and W. Rudolph, “Determination of the transient electron temperature in a femtosecond-laser-induced air plasma filament,” Phys. Rev. E83, 046408 (2011). [CrossRef]
Phys. Rev. Lett.
- D. G. Arbo, S. Yoshida, E. Persson, K. I. Dimitriou, and J. Burgdorfer, “Interference oscillations in the angular distribution of laser-ionized electrons near ionization threshold,” Phys. Rev. Lett.96, 143003 (2006). [CrossRef] [PubMed]
- Y. H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced filaments,” Phys. Rev. Lett.105, 215005 (2010). [CrossRef]
- P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following 6-photon ionization of xeon atoms,” Phys. Rev. Lett.42, 1127–1130 (1979). [CrossRef]
Physica B
- see, e.g., R. Brunetti, C. Jacoboni, A. Matulionis, and V. Dienys, “Effect of interparticle collisions on energy relaxation of carriers in semiconductors,” Physica B134, 369–373 (1985) for self-scattering method for el.-el. Coulomb scattering. [CrossRef]
PRL
- A. A. Silaev and N. V. Vvedenskii, “Residual-current excitation in plasmas produced by few-cycle laser pulses,” PRL102, 115005 (2009). [CrossRef]
Science
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
Other
- L. D. Landau and E. M. Lifshitz, Quantum Mechanics, 3rd ed. (Butterworth-Heinemann, 1981)
- see, e.g. H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 5th ed. (World Scientific Publ., 2009), Chap. 8.
- C. Jacoboni and P. Lugli, The Monte Carlo Method for Semiconductor Device Simulation (Springer-Verlag, 1989). [CrossRef]
2011, Huismans, Science
- Y. Huismans, A. Rouzee, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Y. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science331, 61–64 (2011). [CrossRef]
- Z. Sun, J. Chen, and W. Rudolph, “Determination of the transient electron temperature in a femtosecond-laser-induced air plasma filament,” Phys. Rev. E83, 046408 (2011). [CrossRef]
- Y. H. Chen, S. Varma, T. M. Antonsen, and H. M. Milchberg, “Direct measurement of the electron density of extended femtosecond laser pulse-induced filaments,” Phys. Rev. Lett.105, 215005 (2010). [CrossRef]
- T. Popmintchev, M.-C. Chen, P. Arpin, M. M. Murnane, and H. C. Kapteyn, “The attosecond nonlinear optics of bright coherent X-ray generation,” Nat. Photonics4, 822–832 (2010). [CrossRef]
- A. A. Silaev and N. V. Vvedenskii, “Residual-current excitation in plasmas produced by few-cycle laser pulses,” PRL102, 115005 (2009). [CrossRef]
- A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep.441, 47–189 (2007). [CrossRef]
- D. G. Arbo, S. Yoshida, E. Persson, K. I. Dimitriou, and J. Burgdorfer, “Interference oscillations in the angular distribution of laser-ionized electrons near ionization threshold,” Phys. Rev. Lett.96, 143003 (2006). [CrossRef] [PubMed]
- M. Wickenhauser, X. M. Tong, D. G. Arbo, J. Burgdoerfer, and C. D. Lin, “Signatures of tunneling and multiphoton ionization in the electron-momentum distributions of atoms by intense few-cycle laser pulses,” Phys. Rev. A74, 041402 (2006). [CrossRef]
- A. Rudenko, K. Zrost, C. D. Schroter, V. L. B. de Jesus, B. Feuerstein, R. Moshammer, and J. Ullrich, “Resonant structures in the low-energy electron continuum for single ionization of atoms in the tunnelling regime,” J. Phys. B37, L407–L413 (2004). [CrossRef]
- G. G. Paulus, F. Grasbon, H. Walther, P. Villoresi, M. Nisoli, S. Stagira, E. Priori, and S. De Silvestri, “Absolute-phase phenomena in photoionization with few-cycle laser pulses,” Nature414, 182–184 (2001). [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, 123–127 (2000). [CrossRef]
- see, e.g., R. Brunetti, C. Jacoboni, A. Matulionis, and V. Dienys, “Effect of interparticle collisions on energy relaxation of carriers in semiconductors,” Physica B134, 369–373 (1985) for self-scattering method for el.-el. Coulomb scattering. [CrossRef]
- P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following 6-photon ionization of xeon atoms,” Phys. Rev. Lett.42, 1127–1130 (1979). [CrossRef]
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