Superquadric loop antennas

A unified formulation is presented which allows modeling of a continuum of different loop geometries, including circular, square, and folded dipole configurations, through use of the superquadric curve. The analysis includes the case of two superquadric loops with arbitrary geometries, excitation, and relative orientation to allow determination of the effects of mutual coupling on the antenna characteristics. A Galerkin type moment method using piecewise sinusoidal basis and weighting functions is used to solve an electric field integral equation (EFIE) for thin wires. A novel parametrization for the superquadric curve is given which allows the use of curved wire segments, rather than the commonly employed linear segments, to construct the antenna geometry. The concept of antenna diversity is discussed and the diversity performance of coupled superquadric loop antennas is presented