Generation of surface plasmon-polaritons by edge effects
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Overview
abstract
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© 2018 International Press. By using numerical and analytical methods, we describe the generation of fine-scale lateral electromagnetic waves, called surface plasmon-polaritons (SPPs), on atomically thick, metamaterial conducting sheets in two spatial dimensions (2D). Our computations capture the two-scale character of the total field and reveal how each edge of the sheet acts as a source of an SPP that may dominate the diffracted field. We use the finite element method to numerically implement a variational formulation for a weak discontinuity of the tangential magnetic field across a hypersurface. An adaptive, local mesh refinement strategy based on a posteriori error estimators is applied to resolve the pronounced two-scale character of wave propagation and radiation over the metamaterial sheet. We demonstrate by numerical examples how a singular geometry, e.g., sheets with sharp edges, and sharp spatial changes in the associated surface conductivity may significantly in uence surface plasmons in nanophotonics.
published proceedings
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Communications in Mathematical Sciences
author list (cited authors)
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Maier, M., Margetis, D., & Luskin, M.
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Maier, Matthias||Margetis, Dionisios||Luskin, Mitchell
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Finite Element Method
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Singular Geometry
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Surface Plasmon-polariton
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Time-harmonic Maxwell's Equations
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Weak Discontinuity On Hypersurface
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