I. Introduction
Beam-forming is widely used in modern radar and wireless communication systems. One of its essential techniques is to reconfigure the antenna array using reconfigurable feed networks [1], [2]. For such systems, single-port excitation (SPE) mode is defined as the common port connected with one output port (e.g., single-pole–multithrow (SPMT) switch); multiport excitation (MPE) mode is defined as the common port connected with multiple output ports [e.g., power divider (PD)]. The beam directions are determined by the number of SPE modes and the number of MPE modes together. Therefore, combining the functions of SPMT and PD, and expanding the number of excitation states, have great significance for beam-forming systems.