S. Nagamine et I. Sakagami, A REDUCED-SIZE BRANCH-LINE HYBRID-RING USING COUPLED LINES, Electronics & communications in Japan. Part 2, Electronics, 78(12), 1995, pp. 8-16
To miniaturize the hybrid-ring, a design method is presented herein fo
r the circuit in which there is an electromagnetic coupling between th
e transmission lines in folded transmission lines. A 3-dB branch-line
hybrid-ring is treated. Analysis is carried out for the two cases of h
omogeneous and inhomogeneous circuit configurations in which each sect
ion has only one coupled line. It is found that in the circuit with a
homogeneous configuration, perfect match and complete isolation hold a
t the center frequency as in the conventional type; additionally, the
bandwidth becomes narrower as the coupling becomes stronger. In the in
homogeneous structure where the phase velocities of the even and odd m
odes are different, there is a shift in characteristics. An equal powe
r division can still be accomplished if the degree of coupling and the
phase shift in the coupled lines are appropriately chosen. The overal
l characteristics differ little from the conventional type. To confirm
these findings, an inhomogeneous circuit is constructed and the resul
ts are found to agree with the theory.