Arbitrary power division branch-line hybrid terminated by arbitrary impedances

If a four-port network is terminated by arbitrary impedances, conventional methods for even- and/or odd- mode excitation analyses cannot be used because no symmetry planes exist. Under these conditions, new design equations for an asymmetric branch-line hybrid with arbitrary power division are introduced. A uniplanar branch-line hybrid terminated by 45, 35, 60 and 50 Ω with a power splitting ratio of 3 dB was fabricated and measured