Synthesizability of Filtenna Arrays with Uniform Quality Factor

Resonant antennas, such as patches, perfectly fit the paradigm of filtenna arrays in which every element is a lossy resonator. Assuming that its quality factor is mainly dependent upon the chosen technology, a uniform-Q array is thus available. This however imposes strong constraints on the synthesizable reflection functions, with implications on the required elements in order to provide a sufficient gain across the selected passband. A model to describe radiation function and return loss is developed providing the necessary relations with physical parameters, such as gain of the base elements, and tradeoffs when applied to standard transfer functions.