Testing of Coulomb-Volkov functions

Kornev, A. S.; Zon, B. A.

doi:10.1088/0953-4075/35/11/304

Cited by 32 publications

(32 citation statements)

References 12 publications

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“…The dependencies of the differential cross section on other field parameters, on the impact energy and on the charge state of the residual ion have also been investigated. While the Coulomb-Volkov state is well known in non-relativistic strong laser physics [17][18][19][20], the accuracy of this approximation for the relativistic scattering remains an open question. In the absence of full ab initio calculations and/or appropriate experiments that may judge the accuracy of this approximation one has to consider the present findings as a preliminary description of the laser-assisted, relativistic Mott scattering.…”

Section: Final Remarks and Conclusionmentioning

confidence: 99%

Laser-assisted Mott scattering in the Coulomb approximation

Berakdar

Chen

et al. 2004

J. Phys. B: At. Mol. Opt. Phys.

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We investigate the influence of the Coulomb interaction on laser-assisted Mott scattering. This is done by using an approximation in which the initial state of the electron is described by a Coulomb function modulated by the laser in the same way as a relativistic Volkov state. Numerical calculations are carried out for medium field intensity, and compared with the corresponding results obtained within the first-order Born approximation (where Coulomb distortion effects are neglected). It is found that the differential cross sections of the present treatment agree well with the Born predictions at small angles. With increasing scattering angles, however, including the Coulomb interaction enhances the cross section, as compared to the first-Born results. Furthermore, we show that the Coulomb distortion of the electron motion leads to a qualitatively different dependence of the cross sections on the laser frequency at high frequencies. The dependences of the differential cross section on the other field parameters, impact energy and the charge state of the residual ion are also studied.

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Section: Final Remarks and Conclusionmentioning

confidence: 99%

Laser-assisted Mott scattering in the Coulomb approximation

Berakdar

Chen

et al. 2004

J. Phys. B: At. Mol. Opt. Phys.

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“…The transformations considered are unitary: they will not change the scalar product 17) but it is necessary to pay attention to how we manage the observables. The recipe is straightforward for time-independent operatorsÔ.…”

Section: Length and Velocity Gaugementioning

confidence: 99%

“…The result obtained fits in the picture of a system of reference moving with the electron: the momentum is not modified by the field, but Volkov solutions acquire a timedependent phase during the interaction. [14,15,16]; at the same time many ways have been proposed to assess their accuracy and to improve them [17,18,19]. We will use them to describe the motion of the electron far from the ion, and it will be one of our major approximations.…”

Section: Free Electronsmentioning

confidence: 99%

The time-dependent Schrodinger equation

B√©lkic¹

2004

Series in Atomic Molecular Physics

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“…Subsequently, such approximation has been extended to treat the non-relativistic laser-assisted scattering processes [10] and its relativistic counterpart [11], where the relativistic form of the Volkov solution [12-14] is fully exploited.Since the SFA does not offer a proper explanation of various experimental results, it requires further developments. For instance, an attempt to incorporate the interaction of photoelectrons with the parent ion by means of the Coulomb-Volkov state was undertaken in [15][16][17]. This procedure was successfully applied to the analysis of ionization driven by elliptically polarized laser fields [18].…”

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confidence: 99%

Coulomb-Corrected Strong Field Approximation without Singularities and Branching Points

Kamiński

Vélez

Krajewska

2019

J. Phys.: Conf. Ser.

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The domain of validity of the Coulomb-Corrected Strong Field Approximation (CCSFA) is going to be analyzed in relation to the semi-classical dynamics of electrons during ionization of hydrogen-like targets. Our analysis is limited to ionization driven by Ti-sapphire laser pulses with intensities up to roughly 10 14 Wcm −2 . For such parameters, the effects related to radiation pressure are small and the laser field can be described in the dipole approximation. By applying the Magnus expansion for the exact retarded electron propagator we obtain an effective action which is free of Coulomb singularities and branch points when the complex-time trajectories are used. Furthermore, we show that the classical action is exactly recovered as the asymptotic limit of its effective counterpart. The applicability of such limit is also discussed. Recent developments in this field have led to the creation of new branch of modern science, the attophysics [1, 2]. One of the most prominent tools in the SFP, the Strong-Field Approximation (SFA) in photoionization, was originally introduced by Keldysh [3] in the length gauge and further developed by Faisal [4] and Reiss [5] for other forms of the Schrödinger equation (i.e., in the Kramers-Henneberger frame [6,7] or in the velocity gauge, respectively). The common feature of those approaches is the approximation of the exact scattering state of the photoelectron by the Volkov solution [8,9]. Subsequently, such approximation has been extended to treat the non-relativistic laser-assisted scattering processes [10] and its relativistic counterpart [11], where the relativistic form of the Volkov solution [12-14] is fully exploited.Since the SFA does not offer a proper explanation of various experimental results, it requires further developments. For instance, an attempt to incorporate the interaction of photoelectrons with the parent ion by means of the Coulomb-Volkov state was undertaken in [15][16][17]. This procedure was successfully applied to the analysis of ionization driven by elliptically polarized laser fields [18]. (Note that similar investigations were recently presented for bi-circular laser fields [19].) Further generalizations, which fully account for the low-frequency approximation, were considered in Refs.[20] and [21] for the scattering and ionization processes, respectively. This approach, called the Coulomb-Volkov Strong-Field Approximation (CVSFA), was recently generalized in [22] by incorporating the density functional theory for the initial bound state of many-electron atoms, or in [23] by applying the parabolic quasi-Sturmian-Floquet approach. Also, the scattering states in the highfrequency approximation were explored [24,25]. An alternative approach to the CVSFA, which we call the Born-Series Strong-Field Approximation (BSSFA), is to apply the Born expansion to the final electron scattering state in both the binding potential and the laser field. Here, the first two terms of the Born series were successfully used in studies of the re-scattering process in ionizat...

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Testing of Coulomb-Volkov functions

Cited by 32 publications

References 12 publications

Laser-assisted Mott scattering in the Coulomb approximation

Laser-assisted Mott scattering in the Coulomb approximation

The time-dependent Schrodinger equation

Coulomb-Corrected Strong Field Approximation without Singularities and Branching Points

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