Fig. 1

Schematic illustration of the effect of the Lorentz force on an electron beam. The induced Lorentz forces due to in-plane uniform magnetic fields B _x and B _y , a and b, that are given by F _y  = −|e|v _z B _x and F _x  = −|e|v _z B _y deviate the incoming electron beam in the x and y directions, respectively. When the magnetic field is parallel to the beam propagation direction, c, the Lorentz force vanishes, and thus the electron beam propagates without being affected by the out-of-plane magnetic field. Small effects such as lensing and spin interactions on the electron beam wavefunction are neglected