Scattering Matrix of a Reciprocal and Lossless, Three-Port Power Divider

The analytical expression of the scattering matrix of a lossless, reciprocal three-port junction is derived using three arbitrary real angles. This derivation extends a previously proposed method that was limited to cases with a plane of symmetry. The derived formulas are validated analytically and confirmed through both full-wave analysis of a stripline divider and experimental measurements of a strongly asymmetrical and a quasi-symmetrical waveguide divider.