Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch
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- 15 September 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 62 (11), 7387-7392
- https://doi.org/10.1103/physrevb.62.7387
Abstract
The finite-difference time-domain method is applied to the calculation of dispersion relations of acoustic waves in two-dimensional (2D) phononic lattices, i.e., periodic solid-solid, solid-liquid, and solid-vacuum composites, for which the conventional plane-wave-expansion method fails or converges very slowly. Numerical examples are developed for 2D structures with polyethylene, mercury, and vacuum cylinders forming a square lattice in an aluminum matrix. The implication of the calculated dispersion relations for ultrasound transmission experiments is discussed.Keywords
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