Sparse Grid of Metal Strips Description Implemented into Finite-Element Formulation

W. Renhart; T. Bauernfeind; K. Preis; C. A. Magele; Christian Tuerk

doi:10.1109/TMAG.2017.2656477

Sparse Grid of Metal Strips Description Implemented into Finite-Element Formulation

W. Renhart^*, T. Bauernfeind, K. Preis, C. A. Magele, Christian Tuerk

^*Corresponding author for this work

Institute of Fundamentals and Theory in Electrical Engineering (4370)

Research output: Contribution to journal › Article › peer-review

Abstract

The contribution deals with the implementation of a sparse wire grid model into a standard finite-element method-formulation using the potentials A and v. Taking advantage of the periodicity of a regular grid structure, its electromagnetic behavior can be described with spatial harmonics. The summation of the harmonics over all wires may be solved thanks to the Hankel function. Expressions for the tangential components of the magnetic field around the physical grid structure allow an implementation into the weak form of the A v-formulation by manipulating the Neumann boundary condition term along an artificial plane, only. Reflection and deflection behavior on a grid structure illuminated by a plane wave impinging under variant incidence angles will be investigated.

Original language	English
Article number	7828034
Journal	IEEE Transactions on Magnetics
Volume	53
Issue number	6
DOIs	https://doi.org/10.1109/TMAG.2017.2656477
Publication status	Published - 1 Jun 2017

Keywords

Finite-element formulation
higher order boundary condition
periodic structures
sparse wire grids

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2017.2656477

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abstract = "The contribution deals with the implementation of a sparse wire grid model into a standard finite-element method-formulation using the potentials A and v. Taking advantage of the periodicity of a regular grid structure, its electromagnetic behavior can be described with spatial harmonics. The summation of the harmonics over all wires may be solved thanks to the Hankel function. Expressions for the tangential components of the magnetic field around the physical grid structure allow an implementation into the weak form of the A v-formulation by manipulating the Neumann boundary condition term along an artificial plane, only. Reflection and deflection behavior on a grid structure illuminated by a plane wave impinging under variant incidence angles will be investigated.",

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AU - Preis, K.

AU - Magele, C. A.

AU - Tuerk, Christian

PY - 2017/6/1

Y1 - 2017/6/1

N2 - The contribution deals with the implementation of a sparse wire grid model into a standard finite-element method-formulation using the potentials A and v. Taking advantage of the periodicity of a regular grid structure, its electromagnetic behavior can be described with spatial harmonics. The summation of the harmonics over all wires may be solved thanks to the Hankel function. Expressions for the tangential components of the magnetic field around the physical grid structure allow an implementation into the weak form of the A v-formulation by manipulating the Neumann boundary condition term along an artificial plane, only. Reflection and deflection behavior on a grid structure illuminated by a plane wave impinging under variant incidence angles will be investigated.

AB - The contribution deals with the implementation of a sparse wire grid model into a standard finite-element method-formulation using the potentials A and v. Taking advantage of the periodicity of a regular grid structure, its electromagnetic behavior can be described with spatial harmonics. The summation of the harmonics over all wires may be solved thanks to the Hankel function. Expressions for the tangential components of the magnetic field around the physical grid structure allow an implementation into the weak form of the A v-formulation by manipulating the Neumann boundary condition term along an artificial plane, only. Reflection and deflection behavior on a grid structure illuminated by a plane wave impinging under variant incidence angles will be investigated.

KW - Finite-element formulation

KW - higher order boundary condition

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Sparse Grid of Metal Strips Description Implemented into Finite-Element Formulation

Abstract

Keywords

ASJC Scopus subject areas

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