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Volumn 66, Issue 4, 2002, Pages 434131-4341314

High-order above-threshold ionization: The uniform approximation and the effect of the binding potential

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BINDING ENERGY; ELECTRON TUNNELING; IONIZATION; LASER BEAM EFFECTS; MATHEMATICAL MODELS; NEGATIVE IONS; SCATTERING;

EID: 0036818597     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (127)

References (59)
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    • In practice, the tunneling picture is still applicable if γ≲1.
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    • Both the imaginary parts are positive: As a rule, any saddle that has a negative imaginary part of the action cannot be visited by the steepest-descent contour. This is so because in the original integration the action was real (Im S= 0), and the deformation procedure does not lead to an increase of Im S, by construction.
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    • Even though the amplitude (2) contains both rescattered and direct electrons, in the context of the saddle-point and the uniform approximation, it is preferable to calculate the direct electrons from amplitude (1) and then, to avoid double counting their contribution, to disregard very short quantum orbits (τ ≪T) in the amplitude (2); cf. R. Kopold and W. Becker, in Multiphoton Processes, edited by Louis F. DiMauro, Richard R. Freeman, and Kenneth Kulander, AIP Conf. Proc. 525 (AIP, Melville, NY, 2000), p. 11.
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    • For elliptical polarization, the energy range where direct and rescattered electrons interfere is larger, owing to the faster drop of the rescattered electrons for increasing energy. Indeed, interference between direct and rescattered electrons has been observed in this case both in the experiment and in theory; see G.G. Paulus, F. Grasbon, A. Dreischuh, H. Walther, R. Kopold, and W. Becker, Phys. Rev. Lett. 84, 3791 (2000).
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    • Note that, in addition, for the same parameters as in Ref. [32], the matrix element (35) is singular, such that a direct comparison would not be possible.
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    • 2.
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    • 0/ω is the amplitude of the oscillatory motion of a classical electron in the laser field (9).


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