Total Ponderomotive Force on anExtended Test Body

摘要

Droplets on insulating material suffer a nonvanishing total ponderomotive force because of theinhomogeneity of the surrounding electric field. A series expansion of this total force is proven ina two-dimensional setting by determining the line charge density at the boundary of the test bodyvia a Fredholm integral equation, which is solved by Fourier techniques. The influence of electriccharges in the neighborhood of the test body can be estimated as well as the convergence speed ofthe series expansion. In all realistic applications the series converges very fast. The numerical effortin the simulation of the motion of rainwater droplets on outdoor insulators reduces considerably.