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85037223354
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This is a direct generalization of the diagram for NS double ionization in intense fields analyzed by us recently
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This is a direct generalization of the diagram for NS double ionization in intense fields analyzed by us recently 10111213.
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22
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85037181696
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Thus the rate formula is obtained from the Feynman diagram, Fig. 11(a), by first expressing the latter analytically, using the Floquet representation of the Volkov Green’s function in the intermediate states, evaluating the intermediate continuum integration by the pole approximation (an on-shell approximation), assuming the angular distribution to be dominant in the direction of the polarization, modulo squaring the amplitude, and neglecting the many rapidly oscillating off-diagonal terms (that tend to cancel out by interference) compared to the dominant sum of the diagonal terms
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Thus the rate formula is obtained from the Feynman diagram, Fig. 11(a), by first expressing the latter analytically, using the Floquet representation of the Volkov Green’s function in the intermediate states, evaluating the intermediate continuum integration by the pole approximation (an on-shell approximation), assuming the angular distribution to be dominant in the direction of the polarization, modulo squaring the amplitude, and neglecting the many rapidly oscillating off-diagonal terms (that tend to cancel out by interference) compared to the dominant sum of the diagonal terms.
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23
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85037189675
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Quantum mechanically, the backscattering energy occurs significantly
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Quantum mechanically, the backscattering energy occurs significantly 12 up to the order of the associated Bessel functions comparable to their argument, since beyond that order their contributions fall off exponentially. Thus, for the absorption of (Formula presented) photons by backscattering, the dominant order (Formula presented), where (Formula presented) is the backscattered momentum arising from the incident momentum (Formula presented) and (Formula presented). Using this equation and the identity (Formula presented), one can easily find the energy after the backscattering, (Formula presented) We may note that (Formula presented) may also be considered as the maximum classical energy attainable in the field.
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25
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0001573578
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85037237155
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The deviation in the data of (Formula presented) at the lower intensities from the trends appears at present to be rather puzzling. It may indicate the presence of other mechanisms (e.g., an induced resonance) that are not accounted for in the present model. This needs further investigation for its clarification
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The deviation in the data of (Formula presented) at the lower intensities from the trends appears at present to be rather puzzling. It may indicate the presence of other mechanisms (e.g., an induced resonance) that are not accounted for in the present model. This needs further investigation for its clarification.
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37
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85037256171
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We have also obtained excellent agreement between the results of the present model and the experimental data for Ar at 800 nm, measured up to the triple ionization
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We have also obtained excellent agreement between the results of the present model and the experimental data for Ar at 800 nm, measured up to the triple ionization 5. Due to the limitation of space, however, we restrict ourselves here to the analysis of the more demanding case of up to sixfold ionization of Xe only.
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43
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85037234579
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Phys. Rev. Lett.T. Ditmire et al, 78, 2737 (1997)
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