“…On the one hand, more photons are emitted into higher harmonics (nE γ ), multiples of the required XFI photon energy. On the other hand, due to the pulsed nature of the laser and the longitudinal and transverse intensity profile, broadening of the x-ray spectrum increases [66,71,75,[81][82][83][84][85][86] as can be seen in nonlinear TS experiments [24,34,[39][40][41]. In a hypothetical laser of constant field amplitude, all electrons would experience the same amplitude during the interaction and thus emit the same photon energy, according to Eq.…”