The properties of plasma sheaths developed along plasma boundaries are inve
stigated analytically, assuming that dielectric slabs are present between e
lectrodes. A collisionless plasma is confined by two planar electrodes. Pla
nar dielectric slabs with finite thickness partition the plasma into many p
ieces. The sheath electric field is inversely proportional to the sum of 2(
1 + l) + Delta/epsilon lambda, where Delta and epsilon are the total thickn
ess and the relative dielectric constant respectively of the dielectric sla
bs, l is the number of slabs and lambda is the Debye length of the high-den
sity plasma. In this context, the plasma sheaths may easily be controlled b
y appropriate choices of dielectric materials and their size.