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Research on pass band with negative phase velocity in tubular acoustic metamaterial
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10.1063/1.4751270
/content/aip/journal/jap/112/5/10.1063/1.4751270
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/5/10.1063/1.4751270
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) MH-type of tubular metamaterial with DNG.

Image of FIG. 2.
FIG. 2.

(a) Transmission coefficients (solid line obtained by fluid impedance theory and dashed-dotted line obtained by the full-wave simulation with comsol multiphysics) and (b) and (c) dispersion relations in MH-type of DNG metamaterial with 20 units; (d) normalized impedances of membrane and side hole; (e) acoustic field distributions with different excitation frequencies obtained by the full-wave simulation method. Structural parameters are based on experiments:9 , , , , and .

Image of FIG. 3.
FIG. 3.

Dispersion of MH-type of DNG and SNG metamaterials with different structural parameters of membrane and side hole: DNG –––––; negative density – – – –; negative modulus…….

Image of FIG. 4.
FIG. 4.

(a) Band widths of PBNVs in MH-type of DNG metamaterials with different D and R. , other parameters are the same as Fig. 2. (b) dispersion and (c) transmission of metamaterial with maximum PBNV of 287 Hz obtained with and . DNG ––––; negative density – – – –; negative modulus…….

Image of FIG. 5.
FIG. 5.

(a) Band widths of PBNVs in MH-type of DNG metamaterials with different D and R. , other parameters are the same as Fig. 2; (b)dispersion and (c) transmission of metamaterial with maximum PBNV of 284 Hz obtained with and . DNG –––––; negative density – – – –; negative modulus…….

Image of FIG. 6.
FIG. 6.

Band widths of forbidden bands between PBNVs and PBPVs in MH-type of DNG metamaterials with different D and R. Other parameters are the same as Fig. 2. Balanced condition can be achieved with parameters in scope shown by white lines.

Image of FIG. 7.
FIG. 7.

(a) MHM-type and (b) HMH-type of tubular metamaterials with DNG.

Image of FIG. 8.
FIG. 8.

Band widths of forbidden bands between PBNVs and PBPVs in (a)MHM-type and (b) HMH-type of DNG metamaterials with different D and R. Other parameters are the same as Fig. 2. Balanced condition can be achieved with parameters in scopes shown by white lines.

Image of FIG. 9.
FIG. 9.

(a) Band widths of PBNVs in MHM-type of DNG metamaterials with different D and R. Other parameters are the same as Fig. 2; (b) dispersion and (c) transmission of metamaterial with maximum PBNV of 489 Hz obtained with and . DNG ––––––; negative density – – – –; negative modulus…….

Image of FIG. 10.
FIG. 10.

(a) Band widths of PBNVs in HMH-type of DNG metamaterials with different D and R. Other parameters are the same as Fig. 2; (b) dispersion and (c) transmission of metamaterial with maximum PBNV of 503 Hz obtained with and . DNG –––––; negative density – – – –; negative modulus…….

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/content/aip/journal/jap/112/5/10.1063/1.4751270
2012-09-12
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Research on pass band with negative phase velocity in tubular acoustic metamaterial
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/5/10.1063/1.4751270
10.1063/1.4751270
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