General design equations of N-way arbitrary power dividers

Abstract

General design equation for an N-way power divider with arbitrary power split ratio is suggested. It consists of N transmission lines and N resistors and may be terminated in arbitrary impedances. Since a transmission line with too high characteristic impedance is difficult to realize in microstrip technology, arbitrary design impedance A is introduced to control it. The A is arbitrary and positive value, and as many sets of design equations as possible may be produced depending on design situation. Therefore, the design formulas containing A may be called general design equations. To verify them, a 3-way power divider with a power split ratio of 1:2:4 has been fabricated in microstrip technology, and measured results are in good agreements with the predicted ones.