Effective speed of sound in phononic crystals

Details Effective speed of sound in phononic crystals Effective speed of sound in phononic crystals

2011-06-27

arxiv.org/abs/1106.5412v1

J. Acoust. Soc. Am., 130(6) 3553-3557, 2011

Physics

Mathematical Physics

4 pages, 1 figure

Scientific paper

10.1121/1.3654032

A new formula for the effective quasistatic speed of sound $c$ in 2D and 3D periodic materials is reported. The approach uses a monodromy-matrix operator to enable direct integration in one of the coordinates and exponentially fast convergence in others. As a result, the solution for $c$ has a more closed form than previous formulas. It significantly improves the efficiency and accuracy of evaluating $c$ for high-contrast composites as demonstrated by a 2D example with extreme behavior.

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