Random Graphene Metasurfaces: Diffraction Theory and Giant Broadband Absorptivity

We introduce a diffraction-theory-inspired analytical description of the metasurface comprising an array of graphene subwavelength hemispheres. Our theory describes light interaction with the random metasurface, in which the periodicity is broken by accidentally damaged meta-atoms in the nodes of a twodimensional periodic lattice. Both numerical modeling and experiments show that such a nanometer-thin metasurface possesses giant broadband absorption in the terahertz spectral range that remains intact, even when a substantial portion of meta-atoms, i.e., graphene hemispheres, is damaged. Moreover, defective fabrication of graphene free-standing metasurface may enhance the absorptive properties.