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Particle-in-cell modelling of relativistic laser-plasma interaction with the adjustable damping, direct implicit method

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Figure 1: Phase velocity of the least damped root of Eq. (80) as a function of (k x ∆x, k y ∆y), for different values of c∆t/∆x = c∆t/∆y ∈ { 0.05, 0.66, 1.28, 1.9, 2.5 } (from top to bottom) and θ f = 0
Figure 4: Phase velocity (left) and damping rate ℑ ω∆t (right) of the least damped root of Eq
Figure 6 displays the k-dependence of the complex frequency of the fastest growing (or least damped) mode solution of Eq
Table 1: Imaginary frequency ℑ ω/ω p (wavenumber k∆x) of the dominant mode as a function of the ratio ∆x/λ D and the weight factor order for ω p ∆t = 2 and θ f = 1.
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