Background and Motivation
• Phononic and sonic crystals have generated rising scientific interest for very diverse
technological applications. These crystals are made of periodic distributions of
scatters embedded in a matrix. Under certain conditions, acoustic band gaps can
form. These are spectral bands where propagation of waves is forbidden through
the structure.
• This model first calculates the band structure of an infinite array of scatters. This is
done by analyzing a single unit cell, applying periodic Floquet conditions together
with an eigenfreuqency study.
• Secondly, a finite assembly of scatters is analyzed and the transmission the loss
calculated. A large transmission loss is seen to agree well with the band structure
calculation for the given k-space direction analyzed.
• The present model is based on the paper: D. P. Elford, L. Chalmers, F. V. Kusmartsev,
and G. M. Swallowen, “Matryoshka locally resonant sonic crystal” J. Acoust. Soc.
Am. 130, pp. 2746 (2011).
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