Wave Interaction With Tessellated Metamaterials

This paper considers the interaction of waves with a region comprised of square tiles that display either left-handed or right-handed propagation behaviour arranged in a checker-board tessellation. This structure exhibits infinite wavelength behavior in two dimensions. Using this structure, interesting wave phenomena can be obtained such as: excitation of uniform plane waves from a point source, redirection of uniform plane waves in one direction, and shielding of occlusions from plane waves with normal incidence. During simulation, the media was modeled as 4-port tiles and each 4-port tile was modeled by either a low-pass or high-pass LC network. The investigations were performed on structures comprising up to 32,000 tiles.