A New Gysel Out-of-Phase Power Divider With Arbitrary Power Dividing Ratio Based on Analysis Method of Equivalence of N-Port Networks

An equivalent method has been presented to analyze an N-port network composed of transmission lines or coupled lines. Based on this method, a three-port coupled line with one-port short-circuited can be seemed equal to another three-port network without port coupling at the central frequency. A new Gysel out-of-phase power divider with output port spacing approaching 0 wavelength at the central frequency, arbitrary power dividing ratio, and arbitrary terminal real impedance has been proposed to reduce the size and output port spacing. A power divider with power dividing ratio k
²
= 3
²
and a power divider with power dividing ratio k
²
= 1000 have been implemented on printed circuit board (PCB). It can be observed that there is good agreement between the simulated and measured results.