This work focuses on modeling nanoscale phononic crystals by setting up the appropriate Lagrangian equations of motion. The atomic structure and force constants are accounted for by means of a lumped parameter mass-spring model. In particular we focus on a simple cubic lattice with one mass per primitive unit cell. We use the model to predict the wave propagation frequency spectrum. We then use the model to conduct a series of studies on the influence of defects intentionally introduced to the lattice at a supercell level. One area of interest is the effect of such alterations on the size and location of band gaps.
- Design Engineering Division and Computers in Engineering Division
A Three-Dimensional Lumped Parameter Model of Nanoscale Phononic Crystals
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Davis, BL, & Hussein, MI. "A Three-Dimensional Lumped Parameter Model of Nanoscale Phononic Crystals." Proceedings of the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B. San Diego, California, USA. August 30–September 2, 2009. pp. 285-290. ASME. https://doi.org/10.1115/DETC2009-87674
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