THE NEIGHBORING VIBRATING MULTIPLE WATER-BAG PLASMA POTENTIAL AND RELATED ASPECTS

The spatial factor PHI(X) of the vibratory-state MWB ('multiple water- bag') plasma potential phi = PHI(X) exp (-iomegat) in the vicinity of its generating electric charge rho(X) exp(-iomegat) is proved to be th e Poisson potential U(X) of rho plus an error function xi(X) whose mag nitude can be rendered as small as desired, in relation to \PHI(X)\, b y locating the recording point sufficiently close to the charge. How c lose this should be is independent of rho, but depends quantitatively on the MWB model and the frequency omega, and qualitatively on whether the frequency of the vibrations is greater or less than the plasma fr equency. A high vibration frequency reinforces accuracy in the Poisson ian approximation. The question as to whether phi is weaker or stronge r than U(X)) is tacked. Shielding efficiency is explored in the vibrat ory state.