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.
Achieving control of in-plane elastic waves
M. Brun,S. Guenneau,A. Movchan
Published 2008 in Applied Physics Letters
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- Publication year
2008
- Venue
Applied Physics Letters
- Publication date
2008-12-04
- Fields of study
Physics, Engineering
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