How two crossed dipoles' impedance varies with their non-orthogonality, length & separation

Abstract

To model the electromagnetic mutual impedance between a pair of “crossed dipoles” (a.k.a. “cross dipoles”) whose relative orientation is skewed (i.e., not perpendicular), this paper advances a new modeling approach – the “phenomenological” or “behavioral” approach. This new approach leads to simple models of the mutual impedance, as closed-form expressions parameterized explicitly by the dipoles' (a) skew angle, (b) separation, and (c) common length. This mathematical simplicity is unprecedented in prior models. These models' usefulness is illustrated, using direction finding as an example.