title: Elastic Waves Scattering without Conversion in Metamaterials with Simultaneous Zero Indices for Longitudinal and Transverse Waves.
abstract: We theoretically investigate elastic waves propagating in metamaterials with simultaneous zero indices for both the longitudinal and transverse waves. With scattering objects (here cylinders) present in the metamaterial slabs, while the elastic waves can mostly transmit through the metamaterial slabs perfectly, exhibiting the well-known cloaking effect of zero-index metamaterials, they nevertheless become totally blocked at resonances, indicating strong elastic wave scattering by the objects in the cases. However, despite the occurrence of the elastic wave scattering, there is, counterintuitively, no mode conversion between the longitudinal and transverse waves in the process, completely in contrast to that in conventional elastic media. A design of a two-dimensional phononic crystal with these peculiar properties is presented.
authors.affiliation: School of Science, Hubei University of Technology, Wuhan 430068, China.|Hubei Collaborative Innovation Center for High-efficiency Utilization of Solar Energy, Hubei University of Technology, Wuhan 430068, China.
authors.forename: Fengming
authors.initials: F
authors.lastname: Liu
authors.affiliation: School of Physics and Technology, and Institute for Advanced Studies, Wuhan University, Wuhan 430072, China.
authors.forename: Zhengyou
authors.initials: Z
authors.lastname: Liu