Electron heating in the laser and static electric and magnetic fields

Zhang, Yanzeng; Krasheninnikov, S. I.

doi:10.1063/1.5016976

Cited by 8 publications

(11 citation statements)

References 22 publications

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“…34-36 and the references therein). The numerical simulations 40,41 demonstrated that in the presence of quasi-static electromagnetic fields, an onset of stochasticity is accounted for the electron heating which is depressed by the superluminal phase velocity. However, the mechanism of the stochastic heating is still not clear.…”

Section: Introductionmentioning

confidence: 97%

Stochastic electron heating in the laser and quasi-static electric and magnetic fields

2018

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The dynamics of relativistic electrons in the intense laser radiation and quasi-static electromagnetic fields both along and across to the laser propagating direction are studied in the 3/2 dimensional Hamiltonian framework. It is shown that the unperturbed oscillations of the relativistic electron in these electric fields could exhibit a long tail of harmonics which makes an onset of stochastic electron motion be a primary candidate for electron heating. The Poincaré mappings describing the electron motions in the laser and electric fields only are derived from which the criterions for instability are obtained. It follows that for both transverse and longitudinal electric fields, there exist upper limits of the stochastic electron energy depending on the laser intensity and electric field strength. Specifically, these maximum stochastic energies are enhanced by a strong laser intensity but weak electric field. Such stochastic heating would be reduced by the superluminal phase velocity in both cases. The impacts of the magnetic fields on the electron dynamics are different for these two cases and discussed qualitatively. These analytic results are confirmed by the numerical simulations of solving the 3/2D Hamiltonian equations directly.

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Section: Introductionmentioning

confidence: 97%

Stochastic electron heating in the laser and quasi-static electric and magnetic fields

2018

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“…In this letter, we will examine the electron dynamics in multiple laser waves by employing the Hamiltonian approach with the proper choices of canonical variables and time, such that the Hamiltonian is time independent in zero-order approximation [12]. Following [6][7][8][9], we will be focused on the case where one of the laser waves is much stronger than others, which could be considered as a perturbation.…”

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confidence: 99%

Novel approach to stochastic acceleration of electrons in colliding laser fields

Zhang

Krasheninnikov

2019

Physics of Plasmas

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The mechanism of stochastic electron acceleration in colliding laser waves is investigated by employing proper canonical variables and effective time, such that the new Hamiltonian becomes time independent when the perturbative (weaker) laser wave is absent. The performed analytical analysis clearly reveals the physical picture of stochastic electron dynamics. It shows that when the amplitude of the perturbative laser field exceeds some critical value, stochastic electron acceleration occurs within some electron energy range. The conditions, at which the maximum electron energy gained under stochastic acceleration is greatly exceeding the ponderomotive energy scaling based on the amplitude of the dominant laser, are derived.

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“…Introducing the variable y y y p P A  , after some algebra similar to that in [18], the 3/2D Hamiltonian equations read y dp H dy    , and y dy H dp…”

Section: /2d Hamiltonian and Electron Trajectoriesmentioning

confidence: 99%

“…However, due to the multidimensionality of the system and the strong nonlinearity of the relativistic electron dynamics, the fully theoretical analysis of electron dynamics in the synergistic quasi-static and laser fields is still an interesting problem. Recently, it was shown that the electron dynamics in an arbitrarily polarized laser radiation and transverse or longitudinal quasi-static electric fields as well as transverse magnetic field can be described by the 3/2 dimensional (3/2D) Hamiltonian approach [17,18], which greatly simplifies the analysis of electron interactions with laser and quasi-static electromagnetic fields. It was demonstrated [19] that, the acceleration of electron is attributed to an onset of stochasticity [20,21].…”

Section: Introductionmentioning

confidence: 99%

Electron dynamics in laser and quasi-static transverse electric and longitudinal magnetic fields

Zhang¹,

Krasheninnikov²

2019

Plasma Phys. Control. Fusion

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By deriving the 3/2 dimensional Hamiltonian equations for electrons in the intense laser radiation and quasi-static transverse electric and longitudinal magnetic fields, the electron heating mechanisms are examined both for low harmonic resonance of electron frequency in the static fields with the laser frequency and for high harmonic resonances where the overlapping of broadened resonances causes the stochastic heating. For both cases, the maximum electron kinetic energies, well beyond the ponderomotive scaling, depend only on a small parameter combining the laser amplitude, electrostatic field strength and the conserved dephasing rate.

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Electron heating in the laser and static electric and magnetic fields

Cited by 8 publications

References 22 publications

Stochastic electron heating in the laser and quasi-static electric and magnetic fields

Stochastic electron heating in the laser and quasi-static electric and magnetic fields

Novel approach to stochastic acceleration of electrons in colliding laser fields

Electron dynamics in laser and quasi-static transverse electric and longitudinal magnetic fields

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