Imperfections for an equivalent surface impedance of a uniaxial wire medium

A uniaxial wire medium is a medium formed by a two-dimensional array of conducting parallel thin wires. An analytical study of small imperfections in positioning of wires is considered for an equivalent surface impedance of this wire medium. It is studied that effects of these small imperfections in positioning of wires introduce an equivalent additional surface impedance. This additional impedance is taken to be an error impedance which is mainly dependent upon the positioning error standard deviations along two orthogonal directions. It is further studied that an increase in the positioning error standard deviations along two perpendicular directions increases the magnitude of this error impedance. Also, if the propagation of wave is taken to be normal inside the wire medium then the effects of imperfections in a plane along direction of propagation are more pronounced than these imperfections in a plane transverse to the direction of propagation.