4279
Hybrid Pair Ratio Adjustable Power Splitter using off-shelf components and easy-to-replace microstrip phase shifter
Yue Zhu1,2, William A Grissom1,2,3,4, John C Gore1,2,3,4, and Xinqiang Yan1,2
1Vanderbilt University Institute of Imaging Science, Nashville, TN, United States, 2Department of Radiology and Radiological Sciences, Vanderbilt University, Nashville, TN, United States, 3Biomedical Engineering, Vanderbilt University, Nashville, TN, United States, 4Electrical and Computer Engineering, Vanderbilt University, Nashville, TN, United States
A low loss ratio adjustable power splitter (RAPS) was designed with a Wilkinson Splitter. It has potential problems of challenging and laborious building process and safety hazard. In this abstract, a new RAPS designed with hybrid couplers and printed microstrip lines mitigated the problems. 
Figure 1. a) Diagram of the power splitter model. The final ratio between Vout1 and Vout2 are adjusted by varying the microstrip line. b) Transmission matrices for the hybrid coupler (Thc), the transmission line (Ttm), and the RAPS (TRAPS). The scattering matrix of RAPS (SRAPS) is derived from TRAPS. We can see from the S-parameter matrix, for any ratio, HP-RAPS is a lossless circuit with all ports well matched and output ports isolated. The output ratio has a tangent dependence on the length difference between the two microstrip lines (S13/S14 = tan[(φ1φ2)/2]).
Figure 5. Bench tests of the boards with designed magnitude ratios of a) 1:2, b) 1:4, and c) 1:8. The matching and isolation are similar to that of the 1:1 ratio board. The tested magnitude ratios are 1:2.4, 1:4.8, and 1:6.9, respectively.