Inducing Topological Effects in Locally Resonant Metamaterials

Metamaterials are artificial media which provide exotic propagation propertiesthanks to their structuration on scales that are much smaller than the free-space wavelength of operation. Consequently, the propagation in these systems is usually described by the use of effective parameters. However, although this description allows to envision metamaterial engineering at a mesoscopic scale, it neglects the effects owing to the spatial patterning at the scale of the unit cell. Yet, it has been shown that the wave physics within a specific class of metamaterial, namely the locally resonant ones, can be accurately explained with the use of band structures [1].