On the Continuity Condition for the Higher-Order VSIE-MoM Formulation

Oleksiy S. Kim; Erik Jørgensen; Peter Meincke; Olav Breinbjerg

doi:10.1109/APS.2004.1330239

On the Continuity Condition for the Higher-Order VSIE-MoM Formulation

Oleksiy S. Kim
, Erik Jørgensen
, Peter Meincke
, Olav Breinbjerg

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

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Abstract

A higher-order method of moments (MoM) solution of the volume-surface integral equation (VSIE) based on the higher-order hierarchical Legendre basis functions is presented. The technique is suitable for solving electromagnetic problems involving composite metallic-dielectric objects. Numerical examples for a finite FSS show that the explicit enforcement of the continuity condition at a metallic-dielectric interface significantly improves the solution if higher-order basis functions are defined on rather large domains with metallic edges present. This improvement manifests itself in reducing the number of unknowns and reducing the MoM matrix filling time for the same accuracy achieved in comparison with the solution in which the continuity condition is ignored.

Original language	English
Title of host publication	IEEE Antennas and Propagation Society International Symposium, Monterey, California, June 20-25
Publisher	IEEE
Publication date	2004
Pages	4048-4051
ISBN (Print)	0-7803-8302-8
DOIs	https://doi.org/10.1109/APS.2004.1330239
Publication status	Published - 2004
Event	2004 IEEE Antennas and Propagation Society International Symposium - Monterey, United States Duration: 20 Jun 2004 → 25 Jun 2004 https://ieeexplore.ieee.org/xpl/conhome/9253/proceeding

Conference

Conference	2004 IEEE Antennas and Propagation Society International Symposium
Country/Territory	United States
City	Monterey
Period	20/06/2004 → 25/06/2004
Internet address	https://ieeexplore.ieee.org/xpl/conhome/9253/proceeding

Bibliographical note

Copyright: 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

Keywords

continuity condition
higher-order hierarchical Legendre basis function
volume-surface integral equation
method of moments
scattering

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10.1109/APS.2004.1330239

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title = "On the Continuity Condition for the Higher-Order VSIE-MoM Formulation",

abstract = "A higher-order method of moments (MoM) solution of the volume-surface integral equation (VSIE) based on the higher-order hierarchical Legendre basis functions is presented. The technique is suitable for solving electromagnetic problems involving composite metallic-dielectric objects. Numerical examples for a finite FSS show that the explicit enforcement of the continuity condition at a metallic-dielectric interface significantly improves the solution if higher-order basis functions are defined on rather large domains with metallic edges present. This improvement manifests itself in reducing the number of unknowns and reducing the MoM matrix filling time for the same accuracy achieved in comparison with the solution in which the continuity condition is ignored.",

keywords = "continuity condition, higher-order hierarchical Legendre basis function, volume-surface integral equation, method of moments, scattering",

author = "Kim, \{Oleksiy S.\} and Erik J{\o}rgensen and Peter Meincke and Olav Breinbjerg",

note = "Copyright: 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE; 2004 IEEE Antennas and Propagation Society International Symposium ; Conference date: 20-06-2004 Through 25-06-2004",

year = "2004",

doi = "10.1109/APS.2004.1330239",

language = "English",

isbn = "0-7803-8302-8",

pages = "4048--4051",

booktitle = "IEEE Antennas and Propagation Society International Symposium, Monterey, California, June 20-25",

publisher = "IEEE",

address = "United States",

url = "https://ieeexplore.ieee.org/xpl/conhome/9253/proceeding",

}

Kim, OS, Jørgensen, E, Meincke, P & Breinbjerg, O 2004, On the Continuity Condition for the Higher-Order VSIE-MoM Formulation. in IEEE Antennas and Propagation Society International Symposium, Monterey, California, June 20-25. IEEE, pp. 4048-4051, 2004 IEEE Antennas and Propagation Society International Symposium, Monterey, California, United States, 20/06/2004. https://doi.org/10.1109/APS.2004.1330239

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T1 - On the Continuity Condition for the Higher-Order VSIE-MoM Formulation

AU - Kim, Oleksiy S.

AU - Jørgensen, Erik

AU - Meincke, Peter

AU - Breinbjerg, Olav

N1 - Copyright: 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

PY - 2004

Y1 - 2004

N2 - A higher-order method of moments (MoM) solution of the volume-surface integral equation (VSIE) based on the higher-order hierarchical Legendre basis functions is presented. The technique is suitable for solving electromagnetic problems involving composite metallic-dielectric objects. Numerical examples for a finite FSS show that the explicit enforcement of the continuity condition at a metallic-dielectric interface significantly improves the solution if higher-order basis functions are defined on rather large domains with metallic edges present. This improvement manifests itself in reducing the number of unknowns and reducing the MoM matrix filling time for the same accuracy achieved in comparison with the solution in which the continuity condition is ignored.

AB - A higher-order method of moments (MoM) solution of the volume-surface integral equation (VSIE) based on the higher-order hierarchical Legendre basis functions is presented. The technique is suitable for solving electromagnetic problems involving composite metallic-dielectric objects. Numerical examples for a finite FSS show that the explicit enforcement of the continuity condition at a metallic-dielectric interface significantly improves the solution if higher-order basis functions are defined on rather large domains with metallic edges present. This improvement manifests itself in reducing the number of unknowns and reducing the MoM matrix filling time for the same accuracy achieved in comparison with the solution in which the continuity condition is ignored.

KW - continuity condition

KW - higher-order hierarchical Legendre basis function

KW - volume-surface integral equation

KW - method of moments

KW - scattering

U2 - 10.1109/APS.2004.1330239

DO - 10.1109/APS.2004.1330239

M3 - Article in proceedings

SN - 0-7803-8302-8

SP - 4048

EP - 4051

BT - IEEE Antennas and Propagation Society International Symposium, Monterey, California, June 20-25

PB - IEEE

T2 - 2004 IEEE Antennas and Propagation Society International Symposium

Y2 - 20 June 2004 through 25 June 2004

ER -

On the Continuity Condition for the Higher-Order VSIE-MoM Formulation

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Keywords

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