In this work, we investigated anti-plane transverse elastic waves transmission through a zero index metamaterials (ZIM) waveguide embedded with defect. Theoretical analysis and numerical simulations show that total transmission and total reflection of the impinging transverse elastic waves can be achieved by simply adjusting the parameters of the defect, and a ZIM waveguide embedded with a free-wall hole can be utilized as an elastic waves cloaking. Moreover, we present a two-dimensional (2D) phononic crystal (PC) to exhibit Dirac-like cones dispersion at the zone center. Effective medium theory finds that such PC can have effectively zero reciprocal of shear modulus and zero mass density, thus zero refractive index. Numerical simulations show that the PC system would be a good experimental candidate to achieve the intriguing transmission properties of the ZIM waveguide structure.
Read full abstract