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… 

References

SHOWING 1-8 OF 8 REFERENCES
Negative refraction imaging of solid acoustic waves by two-dimensional three-component phononic crystal
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
Refraction characteristics of phononic crystals
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
Anti-plane shear waves in periodic elastic composites: band structure and anomalous wave refraction
  • S. Nemat-Nasser
  • Materials Science, Physics
    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
On cloaking for elasticity and physical equations with a transformation invariant form
In this paper, we investigate how the form of the conventional elastodynamic equations changes under curvilinear transformations. The equations get mapped to a more general form in which the density
Exact effective relations for dynamics of a laminated body
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