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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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
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Abstract	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.
AbstractList	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. This article presents a macro basis function (MBF) formulation for efficient method of moments (MoM) modelling 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 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.
Author	Dommisse, William R. Rylander, Thomas Du Plessis, Jacques T. Botha, Matthys M. Cilliers, Pierre I.
Author_xml	– sequence: 1 givenname: William R. orcidid: 0000-0003-3212-7666 surname: Dommisse fullname: Dommisse, William R. organization: Department of Electrical and Electronic Engineering, Stellenbosch University, Stellenbosch, South Africa – sequence: 2 givenname: Jacques T. orcidid: 0000-0002-7595-3653 surname: Du Plessis fullname: Du Plessis, Jacques T. organization: Department of Electrical and Electronic Engineering, Stellenbosch University, Stellenbosch, South Africa – sequence: 3 givenname: Pierre I. surname: Cilliers fullname: Cilliers, Pierre I. organization: Department of Electrical and Electronic Engineering, Stellenbosch University, Stellenbosch, South Africa – sequence: 4 givenname: Matthys M. orcidid: 0000-0001-6467-5216 surname: Botha fullname: Botha, Matthys M. email: mmbotha@sun.ac.za organization: Department of Electrical and Electronic Engineering, Stellenbosch University, Stellenbosch, South Africa – sequence: 5 givenname: Thomas orcidid: 0000-0003-0851-2935 surname: Rylander fullname: Rylander, Thomas email: rylander@chalmers.se organization: Department of Electrical Engineering, Chalmers University of Technology, Gothenburg, Sweden
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Snippet	This article presents a macro basis function (MBF) formulation for efficient method of moments (MoM) modeling of conducting wires with appreciable thickness.... This article presents a macro basis function (MBF) formulation for efficient method of moments (MoM) modelling of conducting wires with appreciable thickness....
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SubjectTerms	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
Title	Macro Basis Functions for Efficient Analysis of Thick Wires in the MoM
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