S-matrix theory of two-electron momentum distribution produced by double ionization in intense laser fields

doi:10.1364/OE.8.000383

S-matrix theory of two-electron momentum distribution produced by double ionization in intense laser fields

Andreas Becker and F. Faisal »View Author Affiliations

Optics Express, Vol. 8, Issue 7, pp. 383-394 (2001)
http://dx.doi.org/10.1364/OE.8.000383

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Abstract

Recently observed momentum distribution of doubly charged recoil-ions of atoms produced by femtosecond infrared laser pulses is analyzed using the so-called intense-field many-body S-matrix theory. Observed characteristics of the momentum distributions, parallel and perpendicular to the polarization axis, are reproduced by the theory. It is shown that correlated energy-sharing between the two electrons in the intermediate state and their ‘Volkov-dressing’ in the final state, can explain the origin of these characteristics.

OCIS Codes
(020.4180) Atomic and molecular physics : Multiphoton processes
(190.4180) Nonlinear optics : Multiphoton processes

ToC Category:
Focus Issue: Laser-induced multiple ionization

History
Original Manuscript: February 8, 2001
Published: March 26, 2001

Citation
Andreas Becker and F. Faisal, "S-matrix theory of two-electron momentum distribution produced by double ionization in intense laser fields," Opt. Express 8, 383-394 (2001)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-8-7-383

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References

Th. Weber, M. Weckenbrock, A. Staudte, L. Spielberger, O. Jagutzki, V. Mergel, F. Afaneh, G. Urbasch, M. Vollmer, H. Giessen, and R. Doerner, "Recoil-ion momentum distribution for single and double ionization of helium in strong laser fields," Phys. Rev. Lett. 84, 443-446 (2000). [CrossRef] [PubMed]
R. Moshammer, B. Feuerstein, W. Schmitt, A. Dorn, C.D. Schroeder, J. Ullrich, H. Rottke, C. Trump, M. Wittmann, G. Korn, K. Hoffmann, W. Sandner "Momentum distribution of Ne^n+ ions created by an intense ultrashort laser pulse," Phys. Rev. Lett. 84, 447-450 (2000). [CrossRef] [PubMed]
B. Walker, B. Sheehy, L.F. DiMauro, P. Agostini, K.J. Schafer and K.C. Kulander "Precision measurement od strong field double ionization of helium," Phys. Rev. Lett. 73, 1227-1230 (1994). [CrossRef] [PubMed]
S. Larochelle, A. Talebpour and S.L. Chin, "Non-sequential multiple ionization or rare gas atoms in a Ti:sapphire laser field," J. Phys. B 31, 1201-1214 (1998). [CrossRef]
J.S. Parker, K.T. Taylor, C.W. Clark and S. Blodgett-Ford, "Intense-field mutliphoton ionisation of a two-electron atom," J. Phys. B 29, L33-L42 (1996). [CrossRef]
E.S. Smyth, J.S. Parker and K.T. Taylor, "Numerical integration of the time-depedent Schroedinger equation for laser-driven helium," Comp. Phys. Comm. 114, 1-14 (1998). [CrossRef]
J.S. Parker, L.R.Moore, K.J. Mehring, D.Dundas and K.T. Taylor, "Double-electron above threshold ionization of helium,' J. Phys. B 34, L69-L78 (2001). [CrossRef]
F.H.M. Faisal and A. Becker, "'Intense-Field Many-Body S-Matrix Theory' and mechanism of laser induced double ionization of Helium," in Selected Topics on Electron Physics, D.H. Campbell and H. Kleinpoppen, eds. (Plenum Press, New York, 1996) pp. 397-410. [CrossRef]
F.H.M. Faisal and A. Becker, "Effect of rescattering on ATI and e-e correlation on double ionization in intense laser fields" in Multiphoton Processes 1996, P. Lambropoulos and H. Walther, eds., Int. Nat. Conf. Ser. No. 154 (IOP: Bristol, 1997) pp. 118-131.
F.H.M. Faisal, A. Becker and J. Muth-Boehm, "Intense-Field Many-Body S-Matrix Theory: Applications to processes in intense laser fields," Laser Phys. 9, 115-123 (1999).
A. Becker and F.H.M. Faisal, "Mechanism of laser-induced double ionization of helium," J. Phys. B 29, L197-L202 (1996). [CrossRef]
F.H.M. Faisal and A. Becker, "Non-sequential double ionization: Mechanism and model formula," Laser Phys. 7, 684-689 (1997).
A. Becker and F.H.M. Faisal, "Interplay of electron correlation and intense field dynamics in double ionization of helium," Phys. Rev. A 59, R1742-R1745 (1999). [CrossRef]
A. Becker and F.H.M. Faisal, "Production of high charge states of Xe in a femtosecond laser pulse," Phys. Rev. A 59, R3182-R3185 (1999). [CrossRef]
A. Becker and F.H.M. Faisal, "S-matrix analysis of ionization yields of noble gas atoms at the focus of Ti:sapphire laser pulses," J. Phys. B 32, L335-L343 (1999). [CrossRef]
A. Becker and F.H.M. Faisal, "Interpretation of momentum distribution of recoil ions from laser induced nonsequential double ionization," Phys. Rev. Lett. 84, 3546-3549 (2000). [CrossRef] [PubMed]
F.H.M. Faisal, "Exact Solution of the Schroedinger Equation of Two Electrons Interacting with an Intense Electromagnetic Field," Phys. Lett. A 187, 180-184 (1994). [CrossRef]
A. Becker and F.H.M. Faisal, "Correlated Keldysh-Faisal-Reiss theory of above-threshold double ionization of He in intense laser fields," Phys. Rev. A 50, 3256-3264 (1994). [CrossRef] [PubMed]
F.H.M. Faisal, Theory of Multiphoton Processes (Plenum Press: New York, 1987).
C. Joachain, Quantum Collision Theory, 3rd edn., (North-Holland, Amsterdam, 1983).
H.R. Reiss, "Effect of an intense electromagnetic field on weakly bound system," Phys. Rev. A 22, 1786-1813 (1980). [CrossRef]
L.V. Keldysh, "Ionization in the field of a strong electromagnetic wave," Sov. Phys. JETP 20, 1307-1314 (1965) [Zh. Eksp. Teor. Fiz. 47, 1945-1957 (1964)]
F.H.M. Faisal, "Multiple Absorption of Laser Photons by Atoms," J. Phys. B 6, L89-92 (1973). [CrossRef]
P. Corkum, "Plasma perspective on strong field multiphoton ionization," Phys. Rev. Lett. 71, 1994-1997 (1993). [CrossRef] [PubMed]
D. Charalambidis, D. Xenakis, C.J.G.J. Uiterwaal, P. Maragakis, Jian Zhang, H. Schroeder, O. Faucher, and P. Lambropoulos "Multiphoton ionisation saturation intensities and generalized cross sections from ATI spectra," J. Phys. B 30, 1467-1480 (1997). [CrossRef]
A. Erd'elyi (Ed.), Higher Transcendental Functions, Vol. 2, (New York: McGraw-Hill, 1953).
The uncertainty in the intensity measurement is $approx$ 15 - 30, and that of momentum resolution $approx$ 0.2 - 0.4 a.u. [R. Doerner, and H. Rottke (private communication)].
W. Lotz, "Electron-Impact Ionization Cross Sections and Ionization Rate Coefficients for Atoms and Ions from Hydrogen to Calcium," Zeit. f. Phys. 216, 241-247 (1968). [CrossRef]

Other

Th. Weber, M. Weckenbrock, A. Staudte, L. Spielberger, O. Jagutzki, V. Mergel, F. Afaneh, G. Urbasch, M. Vollmer, H. Giessen, and R. Doerner, "Recoil-ion momentum distribution for single and double ionization of helium in strong laser fields," Phys. Rev. Lett. 84, 443-446 (2000). [CrossRef] [PubMed]
R. Moshammer, B. Feuerstein, W. Schmitt, A. Dorn, C.D. Schroeder, J. Ullrich, H. Rottke, C. Trump, M. Wittmann, G. Korn, K. Hoffmann, W. Sandner "Momentum distribution of Ne^n+ ions created by an intense ultrashort laser pulse," Phys. Rev. Lett. 84, 447-450 (2000). [CrossRef] [PubMed]
B. Walker, B. Sheehy, L.F. DiMauro, P. Agostini, K.J. Schafer and K.C. Kulander "Precision measurement od strong field double ionization of helium," Phys. Rev. Lett. 73, 1227-1230 (1994). [CrossRef] [PubMed]
S. Larochelle, A. Talebpour and S.L. Chin, "Non-sequential multiple ionization or rare gas atoms in a Ti:sapphire laser field," J. Phys. B 31, 1201-1214 (1998). [CrossRef]
J.S. Parker, K.T. Taylor, C.W. Clark and S. Blodgett-Ford, "Intense-field mutliphoton ionisation of a two-electron atom," J. Phys. B 29, L33-L42 (1996). [CrossRef]
E.S. Smyth, J.S. Parker and K.T. Taylor, "Numerical integration of the time-depedent Schroedinger equation for laser-driven helium," Comp. Phys. Comm. 114, 1-14 (1998). [CrossRef]
J.S. Parker, L.R.Moore, K.J. Mehring, D.Dundas and K.T. Taylor, "Double-electron above threshold ionization of helium,' J. Phys. B 34, L69-L78 (2001). [CrossRef]
F.H.M. Faisal and A. Becker, "'Intense-Field Many-Body S-Matrix Theory' and mechanism of laser induced double ionization of Helium," in Selected Topics on Electron Physics, D.H. Campbell and H. Kleinpoppen, eds. (Plenum Press, New York, 1996) pp. 397-410. [CrossRef]
F.H.M. Faisal and A. Becker, "Effect of rescattering on ATI and e-e correlation on double ionization in intense laser fields" in Multiphoton Processes 1996, P. Lambropoulos and H. Walther, eds., Int. Nat. Conf. Ser. No. 154 (IOP: Bristol, 1997) pp. 118-131.
F.H.M. Faisal, A. Becker and J. Muth-Boehm, "Intense-Field Many-Body S-Matrix Theory: Applications to processes in intense laser fields," Laser Phys. 9, 115-123 (1999).
A. Becker and F.H.M. Faisal, "Mechanism of laser-induced double ionization of helium," J. Phys. B 29, L197-L202 (1996). [CrossRef]
F.H.M. Faisal and A. Becker, "Non-sequential double ionization: Mechanism and model formula," Laser Phys. 7, 684-689 (1997).
A. Becker and F.H.M. Faisal, "Interplay of electron correlation and intense field dynamics in double ionization of helium," Phys. Rev. A 59, R1742-R1745 (1999). [CrossRef]
A. Becker and F.H.M. Faisal, "Production of high charge states of Xe in a femtosecond laser pulse," Phys. Rev. A 59, R3182-R3185 (1999). [CrossRef]
A. Becker and F.H.M. Faisal, "S-matrix analysis of ionization yields of noble gas atoms at the focus of Ti:sapphire laser pulses," J. Phys. B 32, L335-L343 (1999). [CrossRef]
A. Becker and F.H.M. Faisal, "Interpretation of momentum distribution of recoil ions from laser induced nonsequential double ionization," Phys. Rev. Lett. 84, 3546-3549 (2000). [CrossRef] [PubMed]
F.H.M. Faisal, "Exact Solution of the Schroedinger Equation of Two Electrons Interacting with an Intense Electromagnetic Field," Phys. Lett. A 187, 180-184 (1994). [CrossRef]
A. Becker and F.H.M. Faisal, "Correlated Keldysh-Faisal-Reiss theory of above-threshold double ionization of He in intense laser fields," Phys. Rev. A 50, 3256-3264 (1994). [CrossRef] [PubMed]
F.H.M. Faisal, Theory of Multiphoton Processes (Plenum Press: New York, 1987).
C. Joachain, Quantum Collision Theory, 3rd edn., (North-Holland, Amsterdam, 1983).
H.R. Reiss, "Effect of an intense electromagnetic field on weakly bound system," Phys. Rev. A 22, 1786-1813 (1980). [CrossRef]
L.V. Keldysh, "Ionization in the field of a strong electromagnetic wave," Sov. Phys. JETP 20, 1307-1314 (1965) [Zh. Eksp. Teor. Fiz. 47, 1945-1957 (1964)]
F.H.M. Faisal, "Multiple Absorption of Laser Photons by Atoms," J. Phys. B 6, L89-92 (1973). [CrossRef]
P. Corkum, "Plasma perspective on strong field multiphoton ionization," Phys. Rev. Lett. 71, 1994-1997 (1993). [CrossRef] [PubMed]
D. Charalambidis, D. Xenakis, C.J.G.J. Uiterwaal, P. Maragakis, Jian Zhang, H. Schroeder, O. Faucher, and P. Lambropoulos "Multiphoton ionisation saturation intensities and generalized cross sections from ATI spectra," J. Phys. B 30, 1467-1480 (1997). [CrossRef]
A. Erd'elyi (Ed.), Higher Transcendental Functions, Vol. 2, (New York: McGraw-Hill, 1953).
The uncertainty in the intensity measurement is $approx$ 15 - 30, and that of momentum resolution $approx$ 0.2 - 0.4 a.u. [R. Doerner, and H. Rottke (private communication)].
W. Lotz, "Electron-Impact Ionization Cross Sections and Ionization Rate Coefficients for Atoms and Ions from Hydrogen to Calcium," Zeit. f. Phys. 216, 241-247 (1968). [CrossRef]

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