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Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets. (arXiv:1809.06516v1 [physics.comp-ph])
来源于:arXiv
We discuss analytically and numerically the propagation and energy
transmission of electromagnetic waves caused by the coupling of surface plasmon
polaritons (SPPs) between two spatially separated layers of 2D materials, such
as graphene, at subwavelength distances. We construct an adaptive
finite-element method to compute the ratio of energy transmitted within these
waveguide structures reliably and efficiently. At its heart, the method is
built upon a goal-oriented a posteriori error estimation with the dual-weighted
residual method (DWR). Further, we derive analytic solutions of the two-layer
system, compare those to (known) single-layer configurations, and compare and
validate our numerical findings by comparing numerical and analytical values
for optimal spacing of the two-layer configuration. Additional aspects of our
numerical treatment, such as local grid refinement, and the utilization of
perfectly matched layers (PMLs) are examined in detail. 查看全文>>