Fig. 2: Simulation for the perfect phase-matched pulse with 0.1 eV electron.
From: Spatio-temporal coupling controlled laser for electron acceleration
Panel a shows the kinetic energy gain as a function of the group delay dispersion (GDD, Φ2) and third-order dispersion (TOD, Φ3), where the maximum kinetic energy gain ~0.6 MeV is represented by the white dot. With the parameters represented by the white dot, the peak field strength E0 = 2 × 2.4 GV/m and a factor of 0.7 is considered for the evanescent field effect. The envelope of the electric fields ∣E(x, t)∣ before interacting with the acceleration structure are presented in (b, c), where Φ2 = 3.9 × 10−2 ps2, Φ3 = 0, and 1.1 × 10−3 ps3, respectively. One can see that the GDD leads to a constant pulse-front-tilt along x and TOD modifies the pulse-front-tilt along x. The white dashed line indicates the electron injection position \(x=-0.45{\sigma }_{{{{{{{{\rm{FWHM}}}}}}}}}^{\prime}\), and \({\sigma }_{{{{{{{{\rm{FWHM}}}}}}}}}^{\prime}\) is the full-width-half-maximum of the beam size at location P.2 in Fig. 1a.
