Properties of Microwave C-Sections

In this paper, it is shown that a lossless, three-wire system can act as a C-section in the Richards transformed complex frequency plane
\lamda[2]
. Theoretical limitations on the realization of transmission zeros of such sections are derived. The cascade properties of these networks are also investigated. Specifically, a formulation of an insertion-loss function peculiar to the
C
-section is made. Finally, integral restrictions on the optimum broadbanding of
C
-sections, coaxial lines, and frequency sensitive loads are derived. It is hoped that the above treatment will enable the designer to treat the microwave
C
-section as an additional building block in filter synthesis.