TY - JOUR
T1 - Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets
AU - Song, Jung Heon
AU - Maier, Matthias
AU - Luskin, Mitchell
N1 - Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2019/7/1
Y1 - 2019/7/1
N2 - 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). Furthermore, 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.
AB - 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). Furthermore, 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.
KW - Adaptive finite-element methods
KW - Surface plasmon–polariton
KW - Time-harmonic Maxwell's equations
KW - Waveguide configurations
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U2 - 10.1016/j.cma.2019.03.039
DO - 10.1016/j.cma.2019.03.039
M3 - Article
AN - SCOPUS:85063894353
SN - 0045-7825
VL - 351
SP - 20
EP - 34
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -