2002
DOI: 10.1103/physrevstab.5.101301
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Electron scattering and acceleration by a tightly focused laser beam

Abstract: By numerically solving the relativistic equations of motion of a single electron in laser fields modeled by those of a Gaussian beam, we demonstrate electron capture by, reflection from, and transmission through the beam. In modeling the fields, terms of order up to 5 , where is the diffraction angle, are retained. All cases of capture are accompanied by energy gain that may reach a few GeV, from fields of present-day intensities. Reflection and transmission, on the other hand, result sometimes in no gain or e… Show more

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Cited by 97 publications
(78 citation statements)
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References 30 publications
(46 reference statements)
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“…Below, we present a numerical example showing the virtues of our method. We consider a Gaussian beam [13], spatially focused at the origin of the coordinate system, linearly polarized along the x direction, propagating along the positive z direction and with a sin …”
mentioning
confidence: 99%
“…Below, we present a numerical example showing the virtues of our method. We consider a Gaussian beam [13], spatially focused at the origin of the coordinate system, linearly polarized along the x direction, propagating along the positive z direction and with a sin …”
mentioning
confidence: 99%
“…In general it is hard to satisfy (20) since ψ is a function of (x, y, z) and g is a function of the phase η. To proceed we begin by rescaling our coordinates…”
Section: B Description Of the Fieldmentioning
confidence: 99%
“…(13) seem to be most relevant, as 2 w 0 Ω ≈ 1 3.93 surpasses all the other dimensionless ratios parameterizing neglected contributions in magnitude. [37,45,46]. Of course, for less tight focusing such as, e.g., w 0 = 3 µm ≈ 15.21 eV −1 , and thereby a substantially reduced peak intensity (B1) in the beam focus, this ratio becomes smaller, and thus the paraxial approximation more justified.…”
Section: Photon Polarization Tensor In Laguerre-and Hermite-gaussmentioning
confidence: 99%
“…Sec. III below) [37], the associated spatio-temporally varying electric and magnetic fields are given by E = Eˆ e E and B = Eˆ e B , i.e., are described by the single amplitude profile E. The unit vectors introduced here fulfillˆ e E ·ˆ e B =ˆ e E ·ˆ e κ =ˆ e B ·ˆ e κ = 0 as well asˆ e E ׈ e B =ˆ e κ , such that F = G = 0.…”
Section: Theoretical Foundationsmentioning
confidence: 99%