Analysis of the directionality on periodic materials

There is an increasing interest in the study of metamaterials and periodic materials across disciplines. These are anisotropic their properties present directionality. For example, wave speed depends on propagation direction. Furthermore, they heterogeneous, directionality spectra. Common approaches to describe anisotropy have been used large-wavelength approximation corresponding static properties. Here we measure based dynamic behavior. It receives dispersion surfaces from Bloch analyses outputs a curve/surface with bulk encoded it. We results for elastodynamics, but it applicable other phenomena.