Electron dynamics in the laser and quasi-static electric and magnetic fields

Zhang, Yanzeng; Krasheninnikov, S. I.

doi:10.1016/j.physleta.2018.04.041

Cited by 10 publications

(12 citation statements)

References 30 publications

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“…Ref. 41) where the laser field in the ion channel has a planar structure with superluminal phase velocity. As a result, the laser can be described by For both cases, we would start with general 3/2D Hamiltonians for arbitrarily polarized laser with superluminal phase velocity and quasi-static electric and magnetic fields but the impacts of the electric and magnetic field are discussed separately.…”

Section: Introductionmentioning

confidence: 99%

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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: 99%

“…Ref 41,. the electron dynamics in such system with magnetic field depending on z and directing in x can be described by the following Hamiltonian equations z…”

mentioning

confidence: 99%

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

2018

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“…The actual description is complicated by the fact that the ω D = ω β relationship is only satisfied on average [48,58] because of the rapid nonlinear variation of v z during one betatron period T β = 2π/ω β . The result of such relativistic nonlinearity of the laser-particle interaction is an irregular (stochastic) motion of the accelerated electrons [59] and high sensitivity of the gained energy to the spatial-temporal resolution [41].…”

Section: A Bubble Driven By a Beam Driver With Large Chargementioning

confidence: 99%

WAND-PIC: an accelerated three-dimensional quasi-static particle-in-cell code

Wang¹,

Khudik²,

Kim³

et al. 2020

Preprint

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We introduce the first quasi-static particle-in-cell (PIC) code: WAND-PIC which doesn't require the commonly used predictor-corrector method in solving electromagnetic fields. We derive the field equations under quasi-static approximation and find the explicit form of the "time" derivative of transverse plasma current. After that, equations for the magnetic fields can be solved exactly without predicting the future quantities. Algorithm design and code structure are greatly simplified. With the help of explicit quasi-static equations and our adaptive step size, plasma bubbles driven by the large beam charges can be simulated efficiently without suffering from the numerical instabilities associated with the predictor-corrector method. In addition, WAND-PIC is able to simulate the sophisticated interactions between high-frequency laser fields and beam particles through the method of sub-cycling. Comparisons between the WAND-PIC and a first-principle full PIC code (VLPL) is presented. WAND-PIC is open-source [1], fully three-dimensional and parallelized with the in-house multigrid solver. Scalability, time complexity, and parallelization efficiency up to thousands of cores are also discussed in this work.

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“…3: (a) Relationship between the relativistic factor and the longitudinal work performed by the laser wave at different laser-plasma parameters. Dashed line corresponds to the scaling law (18). (b) Dependence W ⊥ on W || at different R and the same laser intensity and plasma frequency: the ratio |W || /W ⊥ | increases with decrease of the channel radius.…”

Section: B Scaling Lawmentioning

confidence: 99%

“…The resonant interaction of electrons with high-intensity laser wave is complicated by the fact that the Doppler shifted frequency of the wave ω D = ω L (1 − v x /v ph ), where L is the wave frequency, v ph is its phase velocity and v x is the longitudinal particle velocity, only in average equals to the betatron fre-quency ω β = ω p / √ 2γ of the electron oscillations in the channel [17]. Strong non-linearity of the laser-particle interaction leads to an irregular (stochastic) motion of electrons in the ion channel [18] and high sensitivity of the gained energy to the initial conditions.…”

Section: Introductionmentioning

confidence: 99%

Direct laser acceleration of electrons in the plasma bubble by tightly focused laser pulses

et al. 2019

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We present an analytical theory that reveals the importance of the longitudinal laser electric field in the resonant acceleration of relativistic electrons by the tightly confined laser beam. It is shown that this field always counterworks to the laser transverse component and effectively decreases the final energy gain of electrons through direct laser acceleration mechanism. This effect is demonstrated by carrying out the particle-in-cell simulations in the setup where the wakefield in the plasma bubble is compensated by the longitudinal laser electric field experienced by the accelerated electrons. The derived scalings and estimates are in good agreement with numerical simulations.

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Electron dynamics in the laser and quasi-static electric and magnetic fields

Cited by 10 publications

References 30 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

WAND-PIC: an accelerated three-dimensional quasi-static particle-in-cell code

Direct laser acceleration of electrons in the plasma bubble by tightly focused laser pulses

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