Macro Basis Functions for Efficient Analysis of Thick Wires in the MoM

This article presents a macro basis function (MBF) formulation for efficient method of moments (MoM) modeling of conducting wires with appreciable thickness. General surface formulations are prohibitively inefficient for electrically thin wires, while the typical exact-kernel, rooftop-basis, thin-wi...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation Vol. 72; no. 7; pp. 5865 - 5876
Main Authors: Dommisse, William R., Du Plessis, Jacques T., Cilliers, Pierre I., Botha, Matthys M., Rylander, Thomas
Format: Journal Article
Language:English
Published: New York IEEE 01.07.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Basis functions
Delta-gap source
Divergence
electric field integral equation (EFIE)
electromagnetic scattering
Geometry
Junctions
Method of moments
Surface impedance
thin-wire approximation
Vectors
Wire
wire radius
Wires
ISSN:0018-926X, 1558-2221, 1558-2221
Online Access:Get full text
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Summary:This article presents a macro basis function (MBF) formulation for efficient method of moments (MoM) modeling of conducting wires with appreciable thickness. General surface formulations are prohibitively inefficient for electrically thin wires, while the typical exact-kernel, rooftop-basis, thin-wire MoM becomes wholly inaccurate for electrically thick cylinders. The MBF formulation bridges the gap between the thin-wire MoM and general conducting surface MoM formulations by introducing circumferential variations and components beyond the standard rooftop basis functions. The MBFs are constructed upon a full-order, divergence-conforming, triangle-element MoM discretization. Comprehensive junction and end-cap treatment and tapered wire support are natural features of the formulation. As with thin-wire MoM, degrees of freedom (DoFs) are purely proportional to the electrical length of the wire. Results demonstrate that the intermediate range of "thick wires" is analyzed with practically the same accuracy as general surface MoM, with significantly reduced DoFs.
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ISSN:0018-926X
1558-2221
1558-2221
DOI:10.1109/TAP.2024.3400054