Properties of alternately charged coplanar parallel strips by conformal mappings

Deposited electrodes with periodic geometries are beginning to attract attention in microwave integrated circuitry. In many cases where the interaction with the substrate materials is important, the grounded base may be sufficiently distant to be insignificant or absent altogether. In this paper, the equipotential surfaces and flux lines of alternately charged coplanar parallel strips most often encountered in these cases are determined with the aid of a sequence of conformal mappings. The potential and the electric field intensity along the planes of symmetry are also evaluated. The capacitance and characteristic impedance of the structure are obtained in terms of structural parameters.