Negative refraction in twisted hyperbolic metasurfaces

Abstract Hyperbolic metasurfaces with unique dispersion properties can manipulate light–matter interactions according to the demands. However, due their inherent physical properties, topological transitions (flat bands) exist only in orthogonal directions, which greatly limit application. Here, we unveil rich engineering and hyperbolic metasurfaces. Based on effective medium theory, rotation matrix is introduced into relation explain distorted energy band diagrams, iso-frequency contours higher-order multi-dipoles of novel twisted metasurfaces, thereby forming multi-directional surface plasmon polariton propagation. Furthermore, develop an integrated model realize new dual-channel negative refraction nondiffraction refraction. The phenomena observed experiments match well simulations, proves that designed make types possible will help overcome diffraction limit. presented here exhibit exceptional capabilities for designing microscopes a super lens at molecular level, concealment military aircraft, invisibility cloaks other photonic devices higher transmission efficiency.