Inelastic electron scattering by an intense laser beam of the Hermite-Gaussian (0, 1) mode

Inelastic scatterings of electrons by an intense pulsed laser beam

“…Within this paper, we choose Q 0 = 0.1 and the injection angle θ ∼ π 2 (the schematic injection geometry is shown in figure 1). Under these conditions, the NLCS effect is negligible according to our previous studies on the continuous laser beams [12][13][14]. Thus, we could focus on the inelastic scattering events resulting from the time-varying feature of the pulsed laser fields.…”

“…Does the inelastic scattering of an electron exist and which mechanisms contribute to this process? To answer that question, we have previously demonstrated in [12][13][14] that when the field strength is strong enough (Q 0 ≡ eE 0 /m e ωc 1, Q 0 is a dimensionless parameter specifying the magnitude of field intensities, where −e, m e are the electron charge and mass, respectively, c the speed of light in a vacuum, ω the angular frequency of the electromagnetic wave) the NLCS may become dominant and contributes mainly to the inelastic scattering. However, the electromagnetic fields we considered previously were those of continuous laser beams, where the contribution of normal Compton scattering and stimulated Compton scattering is negligible.…”

Effect of high-order field corrections in electron scattering by intense laser beams in vacuum

“…These two groups of field equations are different from the symmetric ones (2)- (7), where no component is zero. We can regard these three groups of equations, namely (2)-( 7), ( 15)-( 20) and ( 21)-(26), to be different modes of a laser beam; in fact, they are all special solutions of Maxwell's equations.…”

“…In order that this effect is observable in practical space dimensions, the strength of the electric field must be sufficiently high to make the electron go fast in a macroscopic distance to cross the nonzero average electric field. According to our previous work [5][6][7], we usually require that the dimensionless intensity parameter Q 0 = eE 0 /(m e ωc) > 0.1, with E 0 the reference electric-field magnitude, namely Iλ 2 > 2.7 × 10 16 W/cm 2 µm 2 . Because of the above-mentioned reasons, much work [8][9][10][11][12][13][14] has been devoted to seek accurate descriptions of the laser beam.…”

“…If we keep E x to first order of s and calculate B by using The above solution is often called paraxial solution. In our previous work [5][6][7], we have used such solutions to study electron accelerations by lasers. Since the magnetic components in the above equations contain some third-and fourth-order corrections, this solution is different from the pure first-order one, which only keeps the first-order corrections in both E and B.…”