A Closed-Form Rational Model of Coupled Right/Left-Handed Ladder Networks for New Microwave Circuits Design

The analytical characterization of coupled composite righ/left-handed ladder networks is presented. Relying on closed-form polynomials, the two-port representation of the composite right/left-handed ladder network is obtained in a rational form, leading to identify its poles and residues and, thus, the state-space macromodel of the network. The proposed macromodel is successfully validated by comparing the numerical results with those obtained using conventional frequency domain techniques of finite periodic structures.