Achieving control of in-plane elastic waves
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- 9 February 2009
- journal article
- Published by AIP Publishing in Applied Physics Letters
- Vol. 94 (6)
- https://doi.org/10.1063/1.3068491
Abstract
We derive the elastic properties of a cylindrical cloak for in-plane coupled shear and pressure waves. The cloak is characterized by a rank 4 elasticity tensor with spatially varying entries, which are deduced from a geometric transform. Remarkably, the Navier equations retain their form under this transform, which is generally untrue [G. W. Milton et al., N. J. Phys. 8, 248 (2006)]. The validity of our approach is confirmed by comparison of the analytic Green’s function in homogeneous isotropic elastic space against full-wave finite element computations in a heterogeneous anisotropic elastic region surrounded by perfectly matched layers.Keywords
This publication has 16 references indexed in Scilit:
- Broadband Cylindrical Acoustic Cloak for Linear Surface Waves in a FluidPhysical Review Letters, 2008
- Scattering Theory Derivation of a 3D Acoustic Cloaking ShellPhysical Review Letters, 2008
- One path to acoustic cloakingNew Journal of Physics, 2007
- Metamaterial Electromagnetic Cloak at Microwave FrequenciesScience, 2006
- On cloaking for elasticity and physical equations with a transformation invariant formNew Journal of Physics, 2006
- Optical Conformal MappingScience, 2006
- Controlling Electromagnetic FieldsScience, 2006
- On the cloaking effects associated with anomalous localized resonanceProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2006
- Achieving transparency with plasmonic and metamaterial coatingsPhysical Review E, 2005
- Green's tensors and lattice sums for electrostatics and elastodynamicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1997