Test of the LAE numerical calculation. Received electromagnetic power per unit spatial angle, normalized to the total received power, and computed for three selected relativistic transformations γ_s = 1, 5, and 100. Top row: Received electromagnetic power per unit spatial angle and normalized to the total received power P_tot. The analytical solution is represented by Eq. B.12. Bottom row: Corresponding relative errors. We assume a point electron oscillating with frequency ω₀ = 1 rad s⁻¹ and zero drift velocity that is superposed on a space–time grid of the size 6400 × 6400 grid cells, and it is inserted as an input into the LAE toolkit. The analytical solution is given by Eq. B.12. The angular resolutions are 1.8° in (a-b) and 0.01° in (c). The frequency resolutions are 5 × 10⁻² rad s⁻¹ in (a), 5 × 10⁻³ rad s⁻¹ in (b), and 10⁻² rad s⁻¹ in (c).