1998
DOI: 10.1103/physreve.58.5001
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Three-dimensional relativistic electron scattering in an ultrahigh-intensity laser focus

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Cited by 94 publications
(60 citation statements)
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“…The electric field is given by E = −∂ t A , while the magnetic induction is B = ∇ × A . In the case of a Gaussian pulse propagating paraxially along the positive z-axis, focused cylindrically, and polarized along the x-axis, the generating function is [16]:…”
Section: Fig 1 Scale Invariant Nonlinear Spectrummentioning
confidence: 99%
“…The electric field is given by E = −∂ t A , while the magnetic induction is B = ∇ × A . In the case of a Gaussian pulse propagating paraxially along the positive z-axis, focused cylindrically, and polarized along the x-axis, the generating function is [16]:…”
Section: Fig 1 Scale Invariant Nonlinear Spectrummentioning
confidence: 99%
“…Third and finally, the longitudinal electric field component takes over and provides a final extra push. Although the amplitude of the longitudinal component is usually tiny (∝ E 0 λ 0 /w 0 ), including it into calculations changes the result from vanishingly small to considerable acceleration [54,55,57]. This can be explained by the fact that an electron moving longitudinally can possibly stay in phase with the longitudinal electric field over longer distances.…”
Section: Regime a 2mentioning
confidence: 99%
“…Closed-form solutions can generally be obtained via integral (spectral) methods: by direct Fourier and Hankel transforms [55,99,100] or through angular spectrum decomposition [47,57,101]. Very elegant solutions were also obtained using the complex source-point model [25,31].…”
Section: B Modelling Tightly Focused Ultrafast Laser Beams In Vacuummentioning
confidence: 99%
See 1 more Smart Citation
“…The electric field is given by E ¼ À@ t A, while the magnetic induction is B ¼ r  A. In the case of a Gaussian pulse propagating paraxially along the positive z axis, focused cylindrically, and polarized along the x axis, the generating function is [17] …”
Section: E 3d Weakly Nonlinear Effectsmentioning
confidence: 99%