The Extended Manifold for Diversely Polarized Antenna Arrays

The paper investigates a general parametric model for the manifold of polarization sensitive arrays based on representing each antenna by a collection of short dipoles. The manifold has a simple form consisting of an extended isotropic manifold, vertical and horizontal direction vectors and a constant non-square coupling matrix. The resulting manifold captures the effects of coupling, polarization and antenna characteristics. It provides an arbitrarily accurate representation of the analytic manifold which is based on electromagnetic theory. The Coupling Matrix can be determined from the current distributions in the antennas or calculated by other means such as the least-squares fit of the analytic and extended manifolds. The accuracy of the extended manifold is illustrated by numerical examples.