The importance of losses in the coupling of transmission lines

A simple model for weakly coupled lossy transmission lines of finite length has recently been proposed by Olsen (1984). He derived a simple formula for the coupling voltage on a load situated at one extremity of the undriven wire. The importance of the coupling due to losses on this voltage with respect to the coupling due to capacitance and inductance is investigated in this paper. It is found that only in a special case, called the resonance matching case, is the role of the losses dominant in the coupling process. This case is characterized by the condition that the characteristic impedance of the wires squared by equal to the product of two loads Z_LG and Z _0R situated at opposite ends of the driven and the undriven wire