Fig. 6: Mode decomposition.
From: Electron acceleration from transparent targets irradiated by ultra-intense helical laser beams
a Amplitudes of different radial modes for \({B}_{z}^{{{{{{{{\rm{H}}}}}}}}}\) in Fig. 3a obtained via Eq. ((29)). b Amplitudes of different radial modes for \({B}_{z}^{{{{{{{{\rm{H}}}}}}}}}\) in Fig. 3d obtained via Eq. (29). c The sum of mode amplitudes is defined by Eq. (30) as a function of \({w}_{0}^{\prime}\) that sets the characteristic transverse scale in the mode decomposition. The crosses mark the values that are used in (a) and (b) to compute the mode amplitudes. The solid and dashed curves correspond to the targets with \({n}_{\max }=2.5{n}_{{{{{{{{\rm{c}}}}}}}}}\) and \({n}_{\max }=0.5{n}_{{{{{{{{\rm{c}}}}}}}}}\), respectively. d Mode amplitudes at the axial location marked with a dashed line in (a) and (b).
