Matrix theory for n-line 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, coupled-mode theory and also the concept of the nonmode-converting termination to multiline systems are demonstrated. With a concentration on the simplifying assumption of weak reflections at the terminations, the weak coupling approximation of coupled-mode theory is extended to allow for strong coupling between adjacent lines. A demonstration of this is given in the design of a three-line 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