Abstract

An infinite graphene layer is known to support graphene surface plasmon polariton (GSP) confined at the interface between the two dielectric half-spaces. In the case of finite width graphene stripe, the termination of the graphene layer acts both as a scattering source and as a “mirror”, thus producing Fabry–Perot (FP)-type resonance. These resonant wavelengths in the presence of free-standing graphene stripe are investigated using the homogeneous convolution-type integral equation approach. The capabilities of the suggested numerical method are illustrated with the results for the transmission spectrum of TM electromagnetic waves travelling in the direction perpendicular to the graphene stripe. Special attention is paid to the case of spatially modulated conductivity of the graphene monolayer, and thus the feasibility of controlling the GSP response.

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