Computer-Aided Design and Applications of Planar Branch-Line Coupler Circuits
This book chapter mainly focuses on analytical analysis for the branch-line coupler in which this method provides an explicit solution in the coupler design. Generally, the directional coupler is one of the fundamental components for Microwave Integrated Circuit (MIC), especially the equal power-split coupler that is used for signal monitoring, power measurement, power division, and balanced-type components such as balanced mixers. In this chapter, several applications of the branch-line coupler are also described. The analytical and design formulations of the coupler are derived based on ABCD matrix, transmission line principle, and even-odd mode decomposition. Although the simple analytical analysis is not sufficiently implemented in complex coupler structure, it is capable of providing an initial design guideline for the coupler dimensions. The initial design of the coupler dimensions based on analytical analysis can be gradually modified and optimized to achieve the desired size or performance of the coupler using advanced numerical simulation.