Maxwellian Circuits of Conducting Circular Loops

Abstract

Circular loops are useful fundamental devices, subjects of many investigations. Before the era of the method of moments (MoM), it was difficult to analyze a circular loop because it was hard to find the current distribution on the loop. The classical investigations on circular loops involve fairly complicated mathematical analyses. In this paper, based on the theory of Maxwellian circuits (MC), it is discovered that the current of a circular loop is the solution of a classical wave equation with complex constant parameters. Once the parameters are determined, the current may be solved analytically or by simple numerical methods. Very broad band computations of circular loops up to 40 GHz have been performed. It shows that the Maxwellian circuits formulations can indeed simplify the analyses of conducting circular loops and provide valuable insights to RF engineers.