Tunable plasmonic resonator: a comparison of band diagrams and reflection profiles of the polaritonic crystal

Sachinthana Pathiranage; Malin Premaratne

doi:10.1117/12.2603327

1 August 2021 Tunable plasmonic resonator: a comparison of band diagrams and reflection profiles of the polaritonic crystal

Sachinthana Pathiranage, Malin Premaratne

Author Affiliations +

Proceedings Volume 11797, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XIX; 117970Y (2021) https://doi.org/10.1117/12.2603327
Event: SPIE Nanoscience + Engineering, 2021, San Diego, California, United States

Abstract

We present the band diagram analysis of a polaritonic crystal fabricated by periodically modulating the optical conductivity of a graphene sheet, which can be implemented as a virtual mirror in a Fabry-Perot type plasmonic resonator. The 2-Dimensional graphene sheet is supported by two dielectric media on top and the bottom and supports Surface Plasmon Polaritons (SPPs) at the interface. We use the Floquet-Bloch theory to write the fields in the periodically modulated structure. Using Maxwell's equations, we derive the relationship between the components of the SPP wavevector and the complex amplitude coefficients that define the linear relationship between the forward and backward propagating SPP modes. The set of nonlinear eigenvalue equations is then obtained by applying the boundary conditions at the interface. The non-retarded approximation is used to convert this to a linear eigenvalue problem. The dispersion relation is obtained by setting the determinant of the linear eigenvalue problem to zero. Band diagrams are obtained by varying the defining parameters of the Gaussian shaped periodic conductivity profile. The behaviour of the forbidden bands is then used to explain the behaviour of the SPP reflection profiles that have been observed in a recent work. The impact of the absorption losses introduced by the finite intrinsic electron relaxation time of graphene on the band structure is also analysed.

Conference Presentation

Citation Download Citation

Sachinthana Pathiranage and Malin Premaratne "Tunable plasmonic resonator: a comparison of band diagrams and reflection profiles of the polaritonic crystal", Proc. SPIE 11797, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XIX, 117970Y (1 August 2021); https://doi.org/10.1117/12.2603327

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