▎ 摘　　要

Un-symmetric hybridization of graphene surface plasmons (GSPs) in waveguides incorporating graphene nano-ribbons and an underlying graphene sheet is theoretically studied. By tuning the chemical potential of the sheet, the characteristics of the hybrid modes can be shifted from sheet-like toward ribbon-like. The performance of hybrid modes reaches the maximum when phase match is satisfied. Superior to symmetric ribbon pairs, the favorable hybrid modes can be tuned at their best states, while the other modes are suppressed. The hybrid waveguide GSPs mode supported by this structure could extend the propagation distance by 46% over that of the modes for ribbon pairs. (C) 2013 AIP Publishing LLC.