Theoretical study of a tunable phononic band gap system

Goffaux, Cécile; Vigneron, Jean Pol

doi:10.1103/physrevb.64.075118

Cited by 244 publications

(157 citation statements)

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“…de The band structure of the square lattice polymer-based hPnC is sensitive to the pore shape as illustrated in Figure 1 for air-filled holes, lattice parameter a ¼ 740 nm, filling fraction f ¼ 0.46, and elastic properties representing the hPnC of this study. This problem was studied theoretically for periodic fibre reinforced composite solid materials 31 and solid square rods in air 32 enabling tunability of the band gap by rotating the rods. The effect of the inclusion shapes or varying geometry in architectured materials is of current research interest.…”

Section: A)mentioning

confidence: 99%

Band structure of cavity-type hypersonic phononic crystals fabricated by femtosecond laser-induced two-photon polymerization

Rakhymzhanov

Gueddida

Alonso-Redondo

et al. 2016

Applied Physics Letters

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The phononic band diagram of a periodic square structure fabricated by femtosecond laser pulse-induced two photon polymerization is recorded by Brillouin light scattering (BLS) at hypersonic (GHz) frequencies and computed by finite element method. The theoretical calculations along the two main symmetry directions quantitatively capture the band diagrams of the air- and liquid-filled structure and moreover represent the BLS intensities. The theory helps identify the observed modes, reveals the origin of the observed bandgaps at the Brillouin zone boundaries, and unravels direction dependent effective medium behavior.

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Section: A)mentioning

confidence: 99%

Band structure of cavity-type hypersonic phononic crystals fabricated by femtosecond laser-induced two-photon polymerization

Rakhymzhanov

Gueddida

Alonso-Redondo

et al. 2016

Applied Physics Letters

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“…In recent years, many works have been devoted to the study of PCs with periodic holes [3][4][5][6][7][8][9][10][11][12], the bandgaps of which are mainly determined by the geometry parameters. The cross section of the holes may be either convex [3][4][5][6][9][10][11] or non-convex (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…A system composed of large lumps connected by small connectors is easy to generate complete bandgaps due to the local resonances of the lumps. Such systems can be obtained by etching cross-like holes, circular holes, or rotated square holes in the matrix [3,5,[7][8][9]12]. The porosity (i.e.…”

Section: Introductionmentioning

confidence: 99%

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Bandgaps and directional propagation of elastic waves in 2D square zigzag lattice structures

Wang

Zhang

2014

J. Phys. D: Appl. Phys.

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In this paper we propose some kinds of two-dimensional square zigzag lattice structures and study their bandgaps and directional propagation of elastic waves. The band structures and the transmission spectra of the systems are calculated by using the finite element method. The effects of the geometry parameters of the 2d-zigzag lattices on the bandgaps are investigated and discussed.The mechanism of the bandgap generation is analyzed by studying the vibration modes at the bandgap edges. Multiple wide complete bandgaps are found in a wide porosity range owing to the separation of the degeneracy by introducing bending arms. The bandgaps are sensitive to the geometry parameters of the systems. The deformed displacement fields of the transient response of finite structures subjected to harmonic loads are presented to show the directional wave propagation.The research work in this paper is relevant to the practical design of cellular structures with enhanced vibro-acoustics performance.

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“…This limitation may be overcome due to the rapid progress in metamaterials. [15][16][17][18][19][20][21][22][23][24] In this work, we propose a simple method to achieve near zero quantities in both the effective mass density and the reciprocal of the effective bulk modulus for airborne sound in a 2D phononic crystal (PC). Different from the previous approaches, [7][8][9][10][11] no materials with extreme material parameters are required, and the near-zero effective medium parameters come from the zeroth order Fabry-Perot (FP) resonance which exhibits an infinite phase velocity.…”

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confidence: 99%