Electromagnetic field of a relativistic electron vortex beam

Lei Changyong¹, Dong Guangjiong^{1, 2, †}

The differences of electric fields (left) and magnetic fields (right) of the REVB between the spin-up (s = 1/2) and spin-down (s = –1/2) states, E_l,1/2(ρ) – E_{l, – 1/2}(ρ) and B_l,1/2,z(ρ) – B_{l, – 1/2,z}(ρ), vs. ρ for three cases: (a) l = 1, 5, 10, α = 0.7 rad, E_k = 0.2 MeV; (b) E_k = 0.2 MeV, 0.6 MeV, 1 MeV, l = 1, α = 0.7 rad; (c) α = 0.2 rad, 0.7 rad, 1.2 rad, l = 1, E_k = 0.2 MeV.