The electron trajectories corresponding to the angular distribution of the
emission current are simulated, allowing for self-heating of the cathode an
d the influence of space charge on the emission. It is shown that the natur
e of the rings is related to the emission from peripheral regions of the ti
p (conical section) and to compression of the current from these regions. (
C) 1999 American Institute of Physics. [S1063-7850(99)01006-X].