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In this paper, the modal analysis of a novel design of a hybrid long-range plasmonic waveguide is introduced and analyzed using the full-vectorial finite difference method. The suggested design has high index material as a cap to reduce the propagation loss and optimum bending radius as well. The analyzed parameters are the real effective index and propagation loss. In addition, the bending analysis of the reported design is introduced. The coupling is performed between three different waveguides: straight dielectric waveguide, straight hybrid long-range plasmon waveguide, and uniformly bent hybrid one.