Analysis of Current Propagation on Single Conductor Line Using Point Charges and Propagating Line Currents

The purpose of this paper is to clarify the mechanism of common mode propaga- tion which has no explicit return path. In order to simplify the problem, we consider a single conductor line, which also has no explicit return path. First, we deflne point charges and prop- agating line currents as fundamental elements of the proposed model. Using the elements, we analytically derive the electric fleld. If we put together some elements, the proposed model can represent conductors of complex shape. Second, we analyze the current propagation on a single cylindrical perfect conductor line which is bending at a right angle and conflrm the re∞ection and transmission phenomena. Finally, we consider the validation of the proposed model. A kind of transmission line model that could represent the current propagation on a single conductor line with few elements is highly desirable. We ascertain that this model can represent the current propagation with a small number of elements. It indicates that the proposed method is a valid model for the current propagation on a single conductor line.