Vertical oscillations microparticles trapped in the sheath of a capacitive
rf discharge have been excited showing a strongly nonlinear resonance. The
nonlinear oscillations are analyzed in terms of an anharmonic fourth-order
potential energy curve. It is demonstrated that the observed nonlinearities
can be related to a position dependent charge of the microspheres, whereas
the electric field is found to be as nearly linearly increasing. The exper
imental results on the position dependent charging and electric field struc
ture are compared to a numerical model.