Analysis and symmetric synthesis of broad-band power dividing trees

Abstract

A planar power divider with 2m output ports consists of 2-way equal-power dividing sections coupled after each other to form a tree-like structure. This paper deals with the synthesis of such symmetric structures, thus forming a network that divides the Incoming power Into equal parts over a broad band. The analysis is done by the even and odd modes. An optimization program has been written which can optimize the total bandwidth with nearly equal-ripple response. Tables are given for synthesized power dividers with 4, S. and 16 output ports and with a VSWR equal to 1.05, 1.1, and 1.2. The bandwidth, f max/ f min of the power dividers In the tables is between 1.7 and 7. A 4-way divider with 7 transformers in the even mode and 3 isolating resistors in each odd mode has been built with the center frequency S GHz. The total bandwidth of the whole divider, which is theoretically 4.S, was measured to be 4.1.