The universality of the band structure of layered composites

Abstract eng:
We find that the frequency spectra of layered phononic and photonic composites admit a universal structure, independent of the geometry of the periodic-cell and the specific physical properties [1]. In certain cases, this representation extends to highly deformable and multi-physical materials of tunable spectra. The structure is employed to establish universal properties of the corresponding band-gaps, and to rigorously determine their statistical and optimal characteristics. Specifically, we investigate the density of the gaps, their maximal width and expected value. As a result, rules for tailoring the laminate according to desired spectra properties follow. Our representation further facilitates characterizing the tunability of the band-structure of soft and multi-physical materials.

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