Topological Cylindrical Resonators and Optical Fibers

We propose optical resonators based on the edge modes of a cylindrical multilayer structure with nontrivial topological configuration. We calculate the field confinement and resonator dispersion by a recursive approach [1] able to tackle with arbitrary arrangements of annular concentric layers. We apply the method to a periodical structure with Harper modulation [2] and study the resulting cylindrical edge modes.