Low Temperature Physics: 37, 975 (2011); https://doi.org/10.1063/1.3672821 (4 pages)
Физика Низких Температур: Том 37, Выпуск 11 (Ноябрь 2011), c. 1221-1224    ( к оглавлению , назад )

Metafluid with anisotropic dynamic mass

L.N. Gumen

Universidad Popular Autónoma del Estado de Puebla, 21 Sur, #110, 72160, Mexico

J. Arriaga

Instituto de Fisica, Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico

A.A. Krokhin

Department of Physics, University of North Texas, 1155 Union Circle # 311427, Denton, TX 76203, USA
E-mail: arkady@unt.edu

Received June 24, 2011


We show that a fluid filling the space between metallic cylinders arranged in a two-dimensional lattice exhibits anisotropic dynamic mass for sound waves propagating through the lattice, if its unit cell is anisotropic. Using the plane-waves expansion method we derive (in the long wavelength limit) a formula for the effective mass tensor of the metafluid. The proposed formula is very general — it is valid for arbitrary Bravais lattices and arbitrary filling fractions of the cylinders. We apply our method to a periodic structure with very high anisotropy, when other known methods fail. In particular, we calculate the effective mass tensor for sound waves in air with embedded lattice of aluminum cylinders having rectangular cross sections, and obtain excellent agreement with experiment. The proposed method of calculation may find numerous applications for tailoring of metafluids with prescribed anisotropy.

PACS: 62.65.+k Acoustical properties of solids;
PACS: 43.20.+g General linear acoustics.

Ключевые слова: sound waves, phononic crystal, homogenization, anisotropy.