2013/01/31 by Tryfon Antonakakis, Antonakakis, Tryfon, Richard V. Craster +4
Engineering · Physics and Astronomy · #Advanced Antenna and Metasurface Technologies #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Microwave Engineering and Waveguides #Photonic Crystals and Applications #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.1301.7653
5 pages, 4 figures
openalex publication_date 2013/01/31 · arxiv created 2013/04/28 · arxiv updated 2013/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Platonic crystals (PCs) are the elastic plate analogue of the photonic crystals widely used in optics, and are thin structured elastic plates along which flexural waves cannot propagate within certain stop band frequency intervals. The practical importance of PCs is twofold: these can be used either in the design of microstructured acoustic metamaterials or as an approximate model for surface elastic waves propagating in meter scale seismic metamaterials. Here, we make use of the band spectrum of PCs created with very small clamped holes, the nails of the title, to achieve surface wave reflectors at very large wavelengths, a flat lens, an endoscope, a directive antenna near stop band frequencies and cloaking from Dirac cones. The point pinned, Faqir, plate is particularly appealing as there is an exact dispersion relation available so the origin of these phenomena can be explained and interpreted using Fourier series and high frequency homogenization.