Formation of Bragg band gaps in anisotropic phononic crystals analyzed with the empty lattice model

Wang, Yan -Feng; Maznev, Alexei; Laude, Vincent

doi:10.3390/cryst6050052

Title: Formation of Bragg band gaps in anisotropic phononic crystals analyzed with the empty lattice model

Journal Article · Wed May 11 00:00:00 EDT 2016 · Crystals

DOI:https://doi.org/10.3390/cryst6050052· OSTI ID:1282889

Wang, Yan -Feng ^[1]; Maznev, Alexei ^[2];

^[1]

Univ. de Franche-Comte, Besancon (France). Franche-Comte Electronics Thermal Mechanics and Optics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Chemistry

Bragg band gaps of phononic crystals generally, but not always, open at Brillouin zone boundaries. The commonly accepted explanation stems from the empty lattice model: assuming a small material contrast between the constituents of the unit cell, avoided crossings in the phononic band structure appear at frequencies and wavenumbers corresponding to band intersections; for scalar waves the lowest intersections coincide with boundaries of the first Brillouin zone. However, if a phononic crystal contains elastically anisotropic materials, its overall symmetry is not dictated solely by the lattice symmetry. We construct an empty lattice model for phononic crystals made of isotropic and anisotropic materials, based on their slowness curves. We find that, in the anisotropic case, avoided crossings generally do not appear at the boundaries of traditionally defined Brillouin zones. Furthermore, the Bragg "planes" which give rise to phononic band gaps, are generally not flat planes but curved surfaces. Lastly, the same is found to be the case for avoided crossings between shear (transverse) and longitudinal bands in the isotropic case.

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Research Organization:: Univ. of Franche-Comte, Besancon (France); Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0001299; FG02-09ER46577

OSTI ID:: 1282889

Journal Information:: Crystals, Vol. 6, Issue 5; ISSN 2073-4352

Publisher:: MDPICopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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36 MATERIALS SCIENCE
phononic crystal
anisotropy
slowness curves
empty lattice model
avoided crossing
elastic-waves
composites
scattering

Title: Formation of Bragg band gaps in anisotropic phononic crystals analyzed with the empty lattice model

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