General design equations for 3-way unequal-split Bagley power dividers

In this study, general design equations for 3-way unequal-split Bagley power dividers (BPDs) are systematically derived. The proposed design procedure allows for obtaining power dividers with the same split ratio but with different solutions for design parameters. Conditions are firstly derived to achieve a perfect input port matching, then, taken into consideration to divide the power unequally between the output ports. A technique to compensate the resulting impractical high-impedance transmission lines is presented, where such lines are replaced by their equivalent single- and dual-frequency T-shaped sections. To validate the derived equations, different dividers with different split ratios, specifically, 1:3:1, 1:10:1, 3:1:3 and 10:1:10 are designed and simulated. Furthermore, 3-way dual-band 10:1:10 BPDs are designed, fabricated and tested. Very good agreement between simulated, theoretical and experimental results is found.