We demonstrate that asymmetric 3-port devices can be used to design a multi-functional set-up operating as a symmetric combiner and splitter at the same frequency. For a concrete implementation of the proposed multi-functionality protocol, we employ a resonant acoustic 3-port device operating in a subwavelength regime, showing splitting/combining abilities with nearly perfect transmission in presence of losses, induced by the interactions of the system's resonances. Finally, as an extension of the 3-port multi-functionality concept, we propose a new type of 4-port networks, consisting in an assembly of 3-port unit cells with combining/splitting properties, capable to achieve various wave guiding features with perfect transmission depending on the phase of the inputs.
@article{arxiv.1910.01579,
title = {Multi-functional resonant acoustic networks for wave routing},
author = {Olivier Richoux and Vassos Achilleos and Georgios Theocharis and Ioannis Brouzos and Fotios Diakonos},
journal= {arXiv preprint arXiv:1910.01579},
year = {2020}
}