“…Optical properties of cylindrical waveguides with graphene interfaces have been extensively studied in the engineering community [3,14,15,16]. Recently, focus has also shifted to gradient-index structures that couple with graphene [17,18]. These structures are based on planar and cylindrical graphene-dielectric multilayer metamaterials, and have shown potential applications in terahertz imaging, sensing, detecting, and communication areas [17,18].…”