Matrix theory for nline microwave coupler design
Abstract
The matrix equations representing wave propagation along a multiconductor system of transmission lines are solved with expressions given for the scattering parameters in terms of the parameters of the lines themselves. The extensions and generalizations of co and contradirectional coupling, coupledmode theory and also the concept of the nonmodeconverting termination to multiline systems are demonstrated. With a concentration on the simplifying assumption of weak reflections at the terminations, the weak coupling approximation of coupledmode theory is extended to allow for strong coupling between adjacent lines. A demonstration of this is given in the design of a threeline equal power splitting coupler with an arbitrary phase shift between output ports at the center frequency.
 Publication:

IEE Proceedings H: Microwaves Optics and Antennas
 Pub Date:
 December 1980
 Bibcode:
 1980IPMOA.127..309C
 Keywords:

 Couplers;
 Matrix Theory;
 Microwave Coupling;
 Network Synthesis;
 Transmission Lines;
 Coupled Modes;
 Coupling Circuits;
 Microwave Scattering;
 Phase Shift;
 Power Conditioning;
 Propagation Modes;
 Signal Mixing;
 Electronics and Electrical Engineering