In this paper, we propose a multilogic gate (MLG) by utilizing a dielectric-loaded graphene-based plasmonic waveguide (DLGPW) in the mid-infrared spectral region. The proposed MLG is composed of DLGPW-based switches and multimode interference (MMI) splitters and supports three logical operations-AND, XNOR, and NOR-simultaneously. First, by proper control of the graphene surface conductivity, a graphene plasmonic on-off switch is presented, and then a 3dB MMI splitter based on a DLGPW for a wavelength of 7.8μm is designed and investigated. Our studies show that electro-optical logic gates based on DLGPWs have not been reported to date. The structure of the presented MLG is very simple and CMOS-compatible. The calculated minimum extinction ratios (ER) for AND, XNOR, and NOR logic gates are 17.53dB, 53.43dB, and 17.53dB, respectively. Also, by some modifications, this structure can act as a NAND logic gate with an ER of 55.22dB. Compact footprint, high ER, and easiness of on-chip implementation are some advantages of the presented MLG.
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