Phenomenological modeling of the mutual impedance among wire antennas

Abstract

This dissertation pioneers the "phenomenological" or "behavioral" approach to model the mutual-impedance matrix between two skewed crossed dipoles. This 2 × 2 mu-tual impedance matrix has the following four real-value scalars: the magnitude and the phase of the cross-impedance, the magnitude and the phase of the self-impedance. Simple expressions of the electromagnetic mutual impedance, in simple closed forms are introduced, veering away from lengthy and complicated expres-sions. The numerical values of the mutual and self-impedance are obtained from the computer electomagnetics simulation software, EMCoS VLab. These VLab data are then least-squares fit to various candidate functions of few degrees-of-freedom, to arrive at a good "phenomenological" model. The phenomenological models are expressed in terms of the dipoles' skew angle, separation, and common length. The three signi.cant contributions of this dissertation are: (1) obtain the phenomeno-logical models that best represent the VLab data, (2) interpret the models in terms of electromagnetic considerations and (3) illustrate the usefulness of the obtained phenomenological models in estimating an incident source's direction-of-arrival.