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

• Published in: IEEE transactions on magnetics Vol. 53; no. 6; pp. 1 - 4
• Main Authors: Renhart, W., Bauernfeind, T., Preis, K., Magele, C. A., Tuerk, Christian
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-06-2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Boundary conditions; Conductors; Deflection; Electromagnetic properties; Finite element analysis; Finite element method; Finite-element formulation; Harmonics; higher order boundary condition; Incidence angle; Indexes; Magnetism; Mathematical analysis; Mathematical model; Mathematical models; Metal strips; periodic structures; Reflection; sparse wire grids; Surface impedance; Vanadium; Wire; Wires
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2017.2656477

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.