  In this paper, a coherent boundary value problem to model metamaterials'
behavior based on the relaxed micromorphic model is established. This boundary
value problem includes well-posed boundary conditions, thus disclosing the
possibility of exploring the scattering patterns of finite-size metamaterials'
specimens. Thanks to the simplified model's structure (few frequency- and
angle-independent parameters), we are able to unveil the scattering
metamaterial's response for a wide range of frequencies and angles of
propagation of the incident wave. These results are an important stepping stone
towards the conception of more complex large-scale meta-structures that can
control elastic waves and recover energy.
