A comparative study of infinite elements for two-dimensional electromagnetic scattering analysis

Jin Kyu Byun; Jian Ming Jin

doi:10.1080/02726340490442562

A comparative study of infinite elements for two-dimensional electromagnetic scattering analysis

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Abstract

Recently, a new type of infinite elements was proposed as an accurate and efficient mesh truncation method for the finite element analysis of open-region acoustic scattering. These infinite elements are based on the radial expansion of the scattered field and are used to model the scattered field outside a separable surface characterized by a constant radial coordinate (such as a spherical or a spheroidal surface in three dimensions). In this paper, two-dimensional (2-D) elliptic infinite elements are formulated and implemented for the finite element analysis of 2-D time-harmonic electromagnetic scattering, and their performance is studied by comparison with the finite element solution using conventional absorbing boundary conditions (ABCs). Numerical results are presented to demonstrate that the new type of infinite elements is indeed more accurate than both the first- and second-order ABCs.

Original language	English (US)
Pages (from-to)	219-236
Number of pages	18
Journal	Electromagnetics
Volume	24
Issue number	4
DOIs	https://doi.org/10.1080/02726340490442562
State	Published - May 2004

Keywords

Electromagnetic scattering
Finite element method
Infinite elements

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Radiation
Electrical and Electronic Engineering

Online availability

10.1080/02726340490442562

Library availability

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title = "A comparative study of infinite elements for two-dimensional electromagnetic scattering analysis",

abstract = "Recently, a new type of infinite elements was proposed as an accurate and efficient mesh truncation method for the finite element analysis of open-region acoustic scattering. These infinite elements are based on the radial expansion of the scattered field and are used to model the scattered field outside a separable surface characterized by a constant radial coordinate (such as a spherical or a spheroidal surface in three dimensions). In this paper, two-dimensional (2-D) elliptic infinite elements are formulated and implemented for the finite element analysis of 2-D time-harmonic electromagnetic scattering, and their performance is studied by comparison with the finite element solution using conventional absorbing boundary conditions (ABCs). Numerical results are presented to demonstrate that the new type of infinite elements is indeed more accurate than both the first- and second-order ABCs.",

keywords = "Electromagnetic scattering, Finite element method, Infinite elements",

author = "Byun, {Jin Kyu} and Jin, {Jian Ming}",

note = "Funding Information: Received 19 September 2003; accepted 9 January 2004. This work was partly supported by the Post-doctoral Fellowship Program of Korea Science & Engineering Foundation (KOSEF) and by the Office of Naval Research (ONR) under contract number N00014-01-1-0210. Address correspondence to Jian-Ming Jin, Dept. of Electrical and Computer Engineering, University of Illinois, 1406 West Green St., Urbana, IL 61801-2991, USA. E-mail: j-jin1@uiuc.edu",

year = "2004",

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AU - Jin, Jian Ming

N1 - Funding Information: Received 19 September 2003; accepted 9 January 2004. This work was partly supported by the Post-doctoral Fellowship Program of Korea Science & Engineering Foundation (KOSEF) and by the Office of Naval Research (ONR) under contract number N00014-01-1-0210. Address correspondence to Jian-Ming Jin, Dept. of Electrical and Computer Engineering, University of Illinois, 1406 West Green St., Urbana, IL 61801-2991, USA. E-mail: j-jin1@uiuc.edu

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N2 - Recently, a new type of infinite elements was proposed as an accurate and efficient mesh truncation method for the finite element analysis of open-region acoustic scattering. These infinite elements are based on the radial expansion of the scattered field and are used to model the scattered field outside a separable surface characterized by a constant radial coordinate (such as a spherical or a spheroidal surface in three dimensions). In this paper, two-dimensional (2-D) elliptic infinite elements are formulated and implemented for the finite element analysis of 2-D time-harmonic electromagnetic scattering, and their performance is studied by comparison with the finite element solution using conventional absorbing boundary conditions (ABCs). Numerical results are presented to demonstrate that the new type of infinite elements is indeed more accurate than both the first- and second-order ABCs.

AB - Recently, a new type of infinite elements was proposed as an accurate and efficient mesh truncation method for the finite element analysis of open-region acoustic scattering. These infinite elements are based on the radial expansion of the scattered field and are used to model the scattered field outside a separable surface characterized by a constant radial coordinate (such as a spherical or a spheroidal surface in three dimensions). In this paper, two-dimensional (2-D) elliptic infinite elements are formulated and implemented for the finite element analysis of 2-D time-harmonic electromagnetic scattering, and their performance is studied by comparison with the finite element solution using conventional absorbing boundary conditions (ABCs). Numerical results are presented to demonstrate that the new type of infinite elements is indeed more accurate than both the first- and second-order ABCs.

KW - Electromagnetic scattering

KW - Finite element method

KW - Infinite elements

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A comparative study of infinite elements for two-dimensional electromagnetic scattering analysis

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