All-angle-negative-refraction and ultra-refraction for liquid surface waves in 2D phononic crystals
✍ Scribed by Mohamed Farhat; Sebastien Guenneau; Stefan Enoch; Alexander Movchan
- Book ID
- 104006876
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 922 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
We analyse transport properties of linear liquid waves propagating within arrays of immersed rigid circular cylindrical obstacles fixed to a rough bottom. A comparison between Multipole and Finite Element methods is drawn in the case of Robin boundary conditions coupled with Floquet-Bloch boundary conditions. We find that the first band is concave yet nearly flat (associated waves of small negative group velocity) and it displays a cut-off (zero-frequency stop band associated with a singular perturbation). Thanks to this anomalous dispersion in such fluid filled structures, we achieve both ultra-refraction and negative refraction for waves propagating at their surface. Potential applications lie in a omnidirective 'water antenna' and a convergent flat 'water lens'. The latter one is demonstrated experimentally.