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

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

Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 2011
Autor(en): Wang, Mengyu ; Engström, Christian ; Schmidt, Kersten ; Hafner, Christian
Titel: On high-order FEM applied to canonical scattering problems in plasmonics
Sprache: Englisch
Kurzbeschreibung (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.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: J. Comput. Theor. Nanosci.
Band: 8
(Heft-)Nummer: 8
Fachbereich(e)/-gebiet(e): 04 Fachbereich Mathematik
04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen
Hinterlegungsdatum: 19 Nov 2018 21:41
DOI: 10.1166/jctn.2011.1851
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