Figure 3

(a) The mean longitudinal momentum \({\bar{p}}_{z}\) and (b) the mean motion direction (photon-emission direction) \({\bar{\theta }}_{e}\) (polar angle) of a sample electron. The thick line is without SE. The two thin lines are with SE and show the boundaries at \(\bar{\eta }\mathop{ > }\limits_{ \tilde {}}10\) (note that the same color lines in (a,b) do not correspond to the same electron). (c,d) The variation of the parameter χ with respect to \(\bar{\eta }\) of a sample electron with SE. The blue marks indicate the photon emissions. The single electron radiation, integrated over the azimuthal angle of −15° ≤ ϕ ≤ +15°, without SE: (e) radiation intensity vs emission phase \(\bar{\eta }\), log₁₀[d\({}^{2}\tilde{\varepsilon }_{R}\)/[d\(\bar{\eta }\)dθ sin(θ)]], and (f) radiation energy d\({\tilde{\varepsilon }}_{R}\)/[dθ sin(θ)]. (g,h) Correspond to (e,f), respectively, for the case including SE. The sample electron parameters are given in the text, and the laser parameters are the same as in Fig. 1.