Energy gain of free electron in pulsed electromagnetic plane wave with constant external magnetic fields

Angus, J. R.; Krasheninnikov, S. I.

doi:10.1063/1.3259968

Cited by 13 publications

(5 citation statements)

References 12 publications

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“…The parameters are the same with those in figure 4(a) with different choices of Py . It demonstrates that the lower and upper stochastic boundaries are, respectively, in agreement with equation (24) and equation (25) for Py = 0, and with equation ( 29) and equation (30) for Py ≫ a 1 . For all the cases, the maximum electron kinetic energy is consistent with equation (6).…”

Section: Numerical Simulationssupporting

confidence: 74%

“…Recently, it was shown that, by employing the integrals of motion for electrons in laser and quasi-static electromagnetic fields, the electron dynamics can be described by the 3/2 dimensional (3/2D) Hamiltonian approach [25,26], which has greatly simplified the analysis of electron dynamics [27,28] and the boundary of electron energy due to the stochastic motion was obtained by finding the Chirikov-like mapping [29]. Such method has been extended to the case of electrons in the colliding laser waves [30] by employing proper canonical variables and effective time, such that the new Hamiltonian becomes time independent when the perturbative laser wave is absent, where the electron dynamics for luminal planar laser waves, which are linearly polarized in the same direction, and transverse canonical momentum be-ing zero was exhaustively examined.…”

Section: Introductionmentioning

confidence: 99%

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Electron dynamics in counter-propagating laser waves

Zhang,

Krasheninnikov

2019

Preprint

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The electron dynamics in counter-propagating laser waves is investigated by employing a novel approach, where the new Hamiltonian is time-independent when the perturbative laser wave is absent. The physical picture of stochastic electron dynamics is clearly revealed and the threshold values of the amplitude of the perturbative laser field for triggering stochastic electron acceleration are derived for different laser polarization directions and initial electron momentum. It demonstrates that the dephasing rate (new Hamiltonian) between the electron and the dominant laser can be randomly reduced if the amplitude of the perturbative laser is above the threshold such that the electron could be accelerated by the dominant laser well beyond the ponderomotive energy scaling. The impact of a superluminal phase velocity is examined, which slightly changes the stochastic region in Hamiltonian space if the superluminal phase velocity is under a threshold value but significantly decreases the maximum electron kinetic energy. All the analytic considerations are confirmed by the numerical simulations.

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Section: Numerical Simulationssupporting

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Electron dynamics in counter-propagating laser waves

Zhang,

Krasheninnikov

2019

Preprint

Self Cite

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“…Recently, it was shown that the electron dynamics can be described by the 3/2 dimensional (3/2D) Hamiltonian approach for a homogeneous magnetic field and linearly polarized laser plane wave 39 . Refs.…”

Section: Introductionmentioning

confidence: 99%

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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“…In Ref. 22, it was shown that electron dynamics in homogeneous magnetic and linearly polarized laser fields can be described within the simple 3/2 dimensional Hamiltonian framework. In this letter, we show that electron interactions with intense linearly polarized laser radiation and very general static electric and magnetic fields in a 2D slab approximation (including those considered in Refs.…”

mentioning

confidence: 99%

Electron heating in the laser and static electric and magnetic fields

Zhang

Krasheninnikov

2018

Physics of Plasmas

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A 2D slab approximation of the interactions of electrons with intense linearly polarized laser radiation and static electric and magnetic fields is widely used for both numerical simulations and simplified semi-analytical models. It is shown that in this case, electron dynamics can be conveniently described in the framework of the 3/2 dimensional Hamiltonian approach. The electron acceleration beyond a standard ponderomotive scaling, caused by the synergistic effects of the laser and static electro-magnetic fields, is due to an onset of stochastic electron motion.

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Energy gain of free electron in pulsed electromagnetic plane wave with constant external magnetic fields

Cited by 13 publications

References 12 publications

Electron dynamics in counter-propagating laser waves

Electron dynamics in counter-propagating laser waves

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

Electron heating in the laser and static electric and magnetic fields

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