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In this article, an analytical model is proposed for the study ofTransverse-electric (TE) surface plasmon polaritons (SPPs) in nonlinearmulti-layer graphene-based waveguides. Each graphene sheet has been locatedbetween two different Kerr-type layers. As special cases of the general,proposed structure, two new nonlinear graphene-based waveguides are introducedand investigated in this paper. The obtained results show that the propagationproperties of these exemplary structures are adjustable via chemical potentialand nonlinear coefficients. A large value of the effective index, i.e. neff=82is obtained for the chemical potential of 0.15 ev and the nonlinear ratio of0.8 for the second structure at the frequency of 61 THz. The presented studysuggests a novel platform in graphene plasmonics, which can be used for thedesign of innovative THz devices.

TE-Polarized Surface Plasmon Polaritons (SPPs) in Nonlinear Multi-layer Graphene-Based Waveguides: An Analytical Model