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On high-order FEM applied to canonical scattering problems in plasmonics

Wang, Mengyu and Engström, Christian and Schmidt, Kersten and Hafner, Christian :
On high-order FEM applied to canonical scattering problems in plasmonics.
In: J. Comput. Theor. Nanosci., 8 (8) pp. 1564-1572.
[Article] , (2011)

Abstract

In this paper a high-order finite element method with curvilinear elements is proposed for the simulation of plasmonic structures. Most finite element packages use low order basis functions and non-curved elements, which is very costly for demanding problems such as the simulation of nanoantennas. To enhance the performance of finite elements, we use curvilinear quadrilateral elements to calculate the near-field from an impinging plane wave with second order absorbing boundary conditions. The magnetic field amplitude on the surface of one object is compared with a computation based on a multiple multipole expansion. Moreover, the convergence behavior of p-FEM with absorbing boundary conditions motivate an adaptive strategy of polynomial degree enhancement and enlargement of the domain.

Item Type: Article
Erschienen: 2011
Creators: Wang, Mengyu and Engström, Christian and Schmidt, Kersten and Hafner, Christian
Title: On high-order FEM applied to canonical scattering problems in plasmonics
Language: English
Abstract:

In this paper a high-order finite element method with curvilinear elements is proposed for the simulation of plasmonic structures. Most finite element packages use low order basis functions and non-curved elements, which is very costly for demanding problems such as the simulation of nanoantennas. To enhance the performance of finite elements, we use curvilinear quadrilateral elements to calculate the near-field from an impinging plane wave with second order absorbing boundary conditions. The magnetic field amplitude on the surface of one object is compared with a computation based on a multiple multipole expansion. Moreover, the convergence behavior of p-FEM with absorbing boundary conditions motivate an adaptive strategy of polynomial degree enhancement and enlargement of the domain.

Journal or Publication Title: J. Comput. Theor. Nanosci.
Volume: 8
Number: 8
Divisions: 04 Department of Mathematics
04 Department of Mathematics > Numerical Analysis and Scientific Computing
Date Deposited: 19 Nov 2018 21:41
DOI: 10.1166/jctn.2011.1851
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