In this paper we consider periodic structures consisting of rows of spherical conductors. In a plasma linac, these spherical conductors would be formed from liquid droplets on whose surfaces a plasma would be formed. For this paper, the field configurations have been investigated using copper spheres approximately 11 cm diameter and microwave radiation of approximately 30 cm wavelength. No suitable accelerating mode was found for relativistic particles using a single row of spheres, but with two parallel rows of spheres both accelerating and focusing modes were found. In Section II we re-examine the accelerating modes over a grating surface, including a grating of parallel conducting rods. In Section III we discuss the coupling of these structures to incoming radiation. 3 refs., 6 figs.