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The two-dimensionality of graphene and other layered materials can be exploited to simplify the theoretical description of their plasmonic and polaritonic modes. We present an analytical theory that allows us to simulate these excitations in laterally patterned structures in terms of plasmon wave functions (PWFs). Closed-form expressions are offered for their associated extinction spectra, involving only two real parameters for each plasmon mode and graphene morphology, which we calculate and tabulate once and for all. Classical and quantum-mechanical formulations of this PWF formalism are introduced, in excellent mutual agreement for armchaired islands with >10 nm characteristic size. Examples of application are presented to predict both plasmon-induced transparency in interacting nanoribbons and excellent sensing capabilities through the response to the dielectric environment. We argue that the PWF formalism has general applicability and allows us to analytically describe a wide range of 2D polaritonic behavior, thus providing a convenient tool for the design of actual devices.
Renwen Yu,Joel Cox,José Ramón Martínez Saavedra, andJavier García de Abajo
"Analytical modeling of graphene plasmons (Conference Presentation)", Proc. SPIE 10721, Active Photonic Platforms X, 107210M (17 September 2018); https://doi.org/10.1117/12.2320131
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Renwen Yu, Joel Cox, José Ramón Martínez Saavedra, Javier García de Abajo, "Analytical modeling of graphene plasmons (Conference Presentation)," Proc. SPIE 10721, Active Photonic Platforms X, 107210M (17 September 2018); https://doi.org/10.1117/12.2320131