Sparse grid of metal strips description implemented into finite element formulation

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

doi:10.1109/CEFC.2016.7816270

Sparse grid of metal strips description implemented into finite element formulation

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

Institute of Fundamentals and Theory in Electrical Engineering (4370)

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

Abstract

The contribution deals with the implementation of a sparse wire grid model into a standard FEM-formulation using the potentials A and v. Taking advantage of the periodicity of a regular grid structure its electromagnetic behaviour 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 tangentials of the magnetic field around the grid structure allow an implementation into the weak form of the A, v-formulation by manipulating the Neumann boundary condition term. Hence this lapses a finite element meshing of the grid itself. Reflection and deflection behaviour on a grid structure illuminated by a plane wave impinging under variant incidence angles will be investigated.

Original language	English
Title of host publication	IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation
Publisher	Institute of Electrical and Electronics Engineers
ISBN (Electronic)	9781509010325
DOIs	https://doi.org/10.1109/CEFC.2016.7816270
Publication status	Published - 13 Nov 2016
Event	17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016 - Miami, United States Duration: 13 Nov 2016 → 16 Nov 2016

Conference

Conference	17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016
Country/Territory	United States
City	Miami
Period	13/11/16 → 16/11/16

Keywords

Finite element formulation
Higher order boundary condition
Periodical structures
Sparse wire grids

ASJC Scopus subject areas

Computational Mathematics
Instrumentation
Electrical and Electronic Engineering

Access to Document

10.1109/CEFC.2016.7816270

Cite this

Sparse grid of metal strips description implemented into finite element formulation. / Renhart, W.; Bauernfeind, T.; Preis, K. et al.
IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation. Institute of Electrical and Electronics Engineers, 2016. 7816270.

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

Renhart, W , Bauernfeind, T , Preis, K , Magele, CA & Tuerk, C 2016, Sparse grid of metal strips description implemented into finite element formulation. in IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation., 7816270, Institute of Electrical and Electronics Engineers, 17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016, Miami, United States, 13/11/16. https://doi.org/10.1109/CEFC.2016.7816270

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N2 - The contribution deals with the implementation of a sparse wire grid model into a standard FEM-formulation using the potentials A and v. Taking advantage of the periodicity of a regular grid structure its electromagnetic behaviour 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 tangentials of the magnetic field around the grid structure allow an implementation into the weak form of the A, v-formulation by manipulating the Neumann boundary condition term. Hence this lapses a finite element meshing of the grid itself. Reflection and deflection behaviour 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 FEM-formulation using the potentials A and v. Taking advantage of the periodicity of a regular grid structure its electromagnetic behaviour 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 tangentials of the magnetic field around the grid structure allow an implementation into the weak form of the A, v-formulation by manipulating the Neumann boundary condition term. Hence this lapses a finite element meshing of the grid itself. Reflection and deflection behaviour on a grid structure illuminated by a plane wave impinging under variant incidence angles will be investigated.

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Sparse grid of metal strips description implemented into finite element formulation

Abstract

Conference

Keywords

ASJC Scopus subject areas

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