Particle simulations compare the behavior ot nonrelativistic sheet ele
ctron beams in uniform static and nonuniform time-harmonic magnetic fi
elds. The time-harmonic fields are equivalent to periodically cusped m
agnetic (PCM) fields. While the sheet beam in a uniform field exhibits
diocotron instability, the PCM-focused beam is stabilized by ponderom
otive forces, in agreement with recent analytic predictions [J. Appl.
Phys. 73, 4140 (1993)]. Mismatched PCM-focused beams exhibit envelope
oscillation and initially rapid emittance growth followed by a region
of slower increase, in agreement with a recent semianalytic Fokker-Pla
nck model.