Analytic description of the high-energy plateau in laser-assisted electron–atom scattering

Flegel, A. V.; Frolov, M. V.; Manakov, N. L.; Zheltukhin, A. N.

doi:10.1088/0953-4075/42/24/241002

Cited by 15 publications

(20 citation statements)

References 12 publications

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“…[12]). The classical rescattering scenario used to explain plateaus in LAES spectra for a linearly polarized field has been justified by a quantum-mechanically derived analytic formula for the LAES differential cross section [13], which provides the rescattering correction to the well-known Bunkin-Fedorov [14] and Kroll-Watson [15] results. This formula factorizes the LAES cross section into the product of two field-free cross sections for elastic electron-atom scattering with laser-modified momenta and a "propagation" factor (insensitive to atomic parameters) describing the laser-driven motion of the electron along a closed classical trajectory.…”

Section: Introductionmentioning

confidence: 99%

Analytic description of elastic electron-atom scattering in an elliptically polarized laser field

et al. 2013

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Flegel, A. V.; Frolov, M. V.; Manakov, N. L.; Starace, Anthony F.; and Zheltukhin, A. N., "Analytic description of elastic electron-atom scattering in an elliptically polarized laser field" (2013 An analytic description of laser-assisted electron-atom scattering (LAES) in an elliptically polarized field is presented using time-dependent effective range (TDER) theory to treat both electron-laser and electron-atom interactions nonperturbatively. Closed-form formulas describing plateau features in LAES spectra are derived quantum mechanically in the low-frequency limit. These formulas provide an analytic explanation for key features of the LAES differential cross section. For the low-energy region of the LAES spectrum, our result generalizes the Kroll-Watson formula to the case of elliptic polarization. For the high-energy (rescattering) plateau in the LAES spectrum, our result generalizes prior results for a linearly polarized field valid for the high-energy end of the rescattering plateau [Flegel et al., J. Phys. B 42, 241002 (2009)] and confirms the factorization of the LAES cross section into three factors: two field-free elastic electron-atom scattering cross sections (with laser-modified momenta) and a laser field-dependent factor (insensitive to the scattering potential) describing the laser-driven motion of the electron in the elliptically polarized field. We present also approximate analytic expressions for the exact TDER LAES amplitude that are valid over the entire rescattering plateau and reduce to the three-factor form in the plateau cutoff region. The theory is illustrated for the cases of e-H scattering in a CO 2 -laser field and e-F scattering in a midinfrared laser field of wavelength λ = 3.5 µm, for which the analytic results are shown to be in good agreement with exact numerical TDER results.

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Section: Introductionmentioning

confidence: 99%

Analytic description of elastic electron-atom scattering in an elliptically polarized laser field

et al. 2013

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“…[14,22] we employed the TDER theory [24], which extends effective range theory [23] for low-energy electron scattering to the case of LAES. The main approximation in the TDER theory is the same as in effective range theory: The interaction of the incident electron with the atomic potential U (r) is taken into account in only a single (e.g., s-wave) continuum channel by means of the scattering phase δ 0 (E), which is parametrized in terms of the scattering length and the effective range.…”

Section: Analytic Results For the Laes Amplitude And Cross Sectionmentioning

confidence: 99%

“…The DCS dσ el (P,Q)/d Q , with instantaneous kinetic momenta P = P(τ ) and Q = Q(τ,τ ), describes elastic scattering at the time τ . The propagation factor W (p,p n ) describes the laser-driven motion of the electron over the period T = τ − τ and gives the oscillatory interference pattern of LAES spectra in the high-energy plateau region [14,22] (cf. also Figs.…”

Section: The Rescattering Amplitude a (R)mentioning

confidence: 99%

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Control of atomic dynamics in laser-assisted electron-atom scattering through the driving-laser ellipticity

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Flegel, A. V.; Frolov, M. V.; Manakov, N. L.; Starace, Anthony F.; and Zheltukhin, A. N., "Control of atomic dynamics in laser-assisted electron-atom scattering through the driving-laser ellipticity" (2013 Orders of magnitude increases of the cross sections are predicted for laser-assisted low-energy electron-atom scattering (accompanied by absorption of laser photons) as the laser ellipticity is increased. These ellipticitycontrolled enhancements are manifestations of the field-free electron-atom scattering dynamics, such as the Ramsauer-Townsend effect in low-energy elastic electron-atom scattering. The strong sensitivity of laser-assisted scattering cross sections to this dynamics and the laser ellipticity is illustrated for e-Ne and e-Ar scattering in both midinfrared (λ = 3.5 µm) and CO 2 (λ = 10.6 µm) laser fields of moderate intensities.

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“…(76) and (77), we obtain result (45), where the field-free dipole moment d (0) is given by the TDER result, (87). We note that the omitted terms ∼K n and higher order corrections (in the parameter ω/u p ) to f p (t) describe rescattering effects in the BrS process [28].…”

Section: (Det)mentioning

confidence: 99%

Resonant electron-atom bremsstrahlung in an intense laser field

et al. 2014

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Zheltukhin, A. N.; Flegel, A. V.; Frolov, M. V.; Manakov, N. L.; and Starace, Anthony F., "Resonant electron-atom bremsstrahlung in an intense laser field" (2014 We analyze a resonant mechanism for spontaneous laser-assisted electron bremsstrahlung (BrS) involving the resonant transition (via either laser-assisted electron-ion recombination or electron-atom attachment) into a laser-dressed intermediate quasibound state (corresponding, respectively, to either a field-free neutral atom or a negative-ion bound state) accompanied by ionization or detachment of this state by the laser field. This mechanism leads to resonant enhancement (by orders of magnitude) of the BrS spectral density for emitted photon energies corresponding to those for laser-assisted recombination or attachment. We present an accurate parametrization of the resonant BrS amplitude in terms of the amplitudes for nonresonant BrS, for recombination or attachment to the intermediate state, and for ionization or detachment of this state. The high accuracy of our general analytic parametrization of the resonant BrS cross section is shown by comparison with exact numerical results for laser-assisted BrS spectra obtained within time-dependent effective range theory. Numerical estimates of resonant BrS in electron scattering from a Coulomb potential are also presented.

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Analytic description of the high-energy plateau in laser-assisted electron–atom scattering

Cited by 15 publications

References 12 publications

Analytic description of elastic electron-atom scattering in an elliptically polarized laser field

Analytic description of elastic electron-atom scattering in an elliptically polarized laser field

Control of atomic dynamics in laser-assisted electron-atom scattering through the driving-laser ellipticity

Resonant electron-atom bremsstrahlung in an intense laser field

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