A Generalized Theory of Tapered Transmission Line Matching Transformers and Asymmetric 180° Couplers Supporting Non-TEM Modes

This paper presents a generalized Fourier transform pair for the analysis and synthesis of tapered transmission lines supporting a non-TEM mode. The Fourier transform pair first pointed out by Bolinder, and subsequently used by Klopfenstein for TEM lines can be shown to be a special case of the present transform pair. A step by step synthesis method has been described for exact designs of matching transformers and asymmetric 180° directional couplers.