(Color online) The shape of normalized spectra, , versus the normalized frequency, ω′/ω c 0, for different pulse duration. The figure is scalable, particular choice of physical parameters, may be the following: |a| = 50, , pulse durations are 5 fs (curve 1), 36 fs (curve 2), and 220 fs (curve 3). The spectrum broadening and softening is due to the radiation reaction. In the absence of this reaction, curve 1 without changing its shape would scale proportionally to the pulse duration. A zero value of log(ω′/ω c 0) corresponds to ≈ 150 keV.
(Color online) Test simulation result: (a) radiation energy spectrum (line 1), , and the modified spectrum, (line 2); (b) and (c) the angular distribution of the radiation at instants: (b) t = 10 T, (c) t = 50 T, where T = 2π/ω.
Emitted radiation power in the QED approach vs classical (solid), an interpolation formula (dashed). Here, I C = I cl/χ2.
The emission spectrum for 600 MeV electrons interacting with 30-fs laser pulses of intensity 2 · 1022 W/cm2 and wavelength λ = 0.8 μm, with (solid) and without (dashed) accounting for the QED effects. The QED effects cut off the high-energy part of the emission, though the reduction in the radiation back-reaction elevates the low-energy emission.
(Color online) Backscattered light in simulations of the interaction of laser pulse of intensity (a) 2 × 1023 W/cm2, (b) 8 × 1023 W/cm2, with plasma of density (a) 6.5 × 1022 cm−3, (b) 1.3 × 1023 cm−3. For each χ l (vertical axis), the convolution integral (the term in the above formula for convolution) is calculated and presented as a function of (horizontal axis). The line shows the total emitted energy as a function of the cutoff photon energy (i.e., the integral spectrum).
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