Two-Dimensional Phononic Crystals With Acoustic-Band Negative Refraction

@inproceedings{Sadeghi2016TwoDimensionalPC,
title={Two-Dimensional Phononic Crystals With Acoustic-Band Negative Refraction},
author={H. Sadeghi and Sia Nemat-Nasser},
year={2016}
}

A two-dimensional phononic crystal (PC) can exhibit longitudinal-mode negative energy refraction on its lowest (acoustical) frequency pass band. The effective elastodynamic properties of a typical PC are calculated and it is observed that the components of the effective density tensor can achieve negative values at certain low frequencies on the acoustical branches for the longitudinal-mode pass-band, and that negative refraction may be accompanied by either positive or negative effective… Expand

By using of the multiple scattering methods, we study the negative refraction imaging effect of solid acoustic waves by two-dimensional three-component phononic crystals composed of coated solid… Expand

Some of the most interesting refraction properties of phononic crystals are revealed by examining the anti-plane shear waves in doubly periodic elastic composites with unit cells containing… Expand

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

2015

For anti-plane shear waves in periodic elastic composites, it is shown that negative energy refraction can be accompanied by positive phase-velocity refraction and positive energy refraction can be… Expand

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Abstract Milton and Willis [Milton, G.W., Willis, J.R., 2007. On modifications of Newton’s second law and linear continuum elastodynamics. Proc. R. Soc. A 463, 855–880] have recently discussed the… Expand