“…The spoke has been well characterized within a number of experimental devices, including Hall thrusters [3,4,5,6,7,8,9,10,11,12,13,14,15], planar magnetrons [16,17,18,19,20,21,22,23], cylindrical magnetrons [24,25] and Penning discharges [26,27,28]. These devices feature cylindrical geometry, with electron drift and spoke propagation occurring in the azimuthal direction.…”