Controlled Electric Field in Multiply Connected Circular Structure

摘要

This paper presents the analysis and calculation of homogeneity zone of controlled (rotating) electric field in the internal area with circular multiply connected border and equal lengths of boundary arcs depending on the order of border connectivity, potential distribution across the boundary arcs, and the ratio between the lengths of boundary arcs and gaps between the arcs. Mathematical expressions are presented both in the form of complex variable functions and as sums of spatial harmonics.