Transmission Line Analysis of a Coaxial Line with Multiple Slots on the Inner Core Using a Mode-matching Technique

A transmission line analysis based on a mode-matching technique (MMT) is proposed to compute the reflection behaviors of combinations of slotted and slotless coaxial connectors. The MMT enables us to rigorously obtain electric potential representations of the slotted coaxial line for the TEM mode and then we formulate a characteristic impedance of that line in a closed-form solution. Once the characteristic impedance is determined, various coaxial discontinuities including slotless coaxial connectors can be analyzed in terms of the transmission line theory. We compare our reflection results of slotted and slotless connections with a commercial electromagnetic software package and they give favorable agreement, thus confirming that our approach is efficient and useful for practical applications.