1993
DOI: 10.1103/physreva.48.666
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Radiation emitted by a resonantly driven hydrogen atom

Abstract: The spectrum of scattered radiation was computed for an electron, bound initially in the 2s state of a hydrogen atom and driven resonantly by the sinusoidal field of a moderately intense ( -10" W/cm ) linearly polarized laser. A numerical solution of the time-dependent Schrodinger equation was performed for the duration of a 20 -30-fs laser pulse. The radiation which emerges from this transient state was characterized by the autocorrelation function of the electronic acceleration defined as C, (t)= I dt'(is~a… Show more

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Cited by 14 publications
(15 citation statements)
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“…The first term on the right hand side corresponds I berg picture: x(t) = Ut(t)xU(t) with U(t) the evolution operator of the system. We would like to remark here that, had we analyzed the case of a rapidly evolving dipole, we would have arrived at a spectrum which is governed by the autocorrelation of the dipole acceleration [10,19,20,25]. In the present situation where we analyze the evolution within a two-level model and explicitly exclude ionization, it is straightforward to relate the acceleration autocorrelation to that of the dipole through a factor~4 (Ref.…”
Section: A General Expressionmentioning
confidence: 97%
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“…The first term on the right hand side corresponds I berg picture: x(t) = Ut(t)xU(t) with U(t) the evolution operator of the system. We would like to remark here that, had we analyzed the case of a rapidly evolving dipole, we would have arrived at a spectrum which is governed by the autocorrelation of the dipole acceleration [10,19,20,25]. In the present situation where we analyze the evolution within a two-level model and explicitly exclude ionization, it is straightforward to relate the acceleration autocorrelation to that of the dipole through a factor~4 (Ref.…”
Section: A General Expressionmentioning
confidence: 97%
“…The evolution operator is thus given by Hence the full spectrum, in the absence of a laser field, reduces to the incoherent spectrum related to the Quctuations of the dipole. In the case of a ground state preparation, the spectrum is then given by 20 FIG. 6.…”
Section: Acknowledc Mentsmentioning
confidence: 99%
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“…Accordingly, their relative intensities will grow only as N, the number of active atomic centers in the sample, instead of N 2 for harmonics. However, as already noted by LaGattuta [20], they might be detected at another observation angles than the forward direction.…”
Section: (2)mentioning
confidence: 89%
“…The more involved situation of a model potential supporting an infinite number of bound states plus a continuum has been discussed in [17] and will be briefly presented below. Another recent discussion may be found in [20].…”
Section: (2)mentioning
confidence: 99%