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- W2029476903 abstract "We theoretically examine the propagation of sound in a waveguide bounded by a metamaterial formed by an array of small Helmholtz resonators. The field equation is shown to be similar to that governing sound in a bubbly liquid. The effects of dissipation on the wave dispersion are examined. In particular, it is shown that the energy in a monochromatic wave train is not transported by the real part of the complex group velocity unless dissipation is absent. We further derived the envelope equation and show that in a one-dimensional waveguide, energy is transported forward despite the backward motion of the envelope peak." @default.
- W2029476903 created "2016-06-24" @default.
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- W2029476903 date "2011-04-12" @default.
- W2029476903 modified "2023-10-18" @default.
- W2029476903 title "Approximate theory of acoustic waveguide of metamaterials" @default.
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- W2029476903 doi "https://doi.org/10.1017/jfm.2011.106" @default.
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