A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects

Jun Lai; Michael O'Neil

doi:10.1109/COMPEM.2018.8496457

A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects

Jun Lai, Michael O'Neil

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Axis-symmetric objects are an important class of shapes that appear in many electromagnetic applications. By using the separation of variables, we are able to derive a fast and high order numerical algorithm that solves the 3D electromagnetic scattering for an arbitrary axis-symmetric object. The main novelty here is to combine the fast recursion formula for the kernel evaluation along the revolution curve and high order generalized Gaussian quadrature for the singular integrals in integral equations. Numerical experiments show that for a modest sized cylinder, we can easily obtain more than 6 digits accuracy in less than 90 seconds on a personal laptop.

Original language	English (US)
Title of host publication	2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781538612415
DOIs	https://doi.org/10.1109/COMPEM.2018.8496457
State	Published - Oct 17 2018
Event	2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018 - Chengdu, China Duration: Mar 26 2018 → Mar 28 2018

Publication series

Name	2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018

Other

Other	2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018
Country/Territory	China
City	Chengdu
Period	3/26/18 → 3/28/18

Keywords

Electromagnetic scattering
Fourier decomposition
axis-symmetric shape
fast algorithm
generalized Gaussian quadrature
integral equations

ASJC Scopus subject areas

Radiation
Electrical and Electronic Engineering
Computational Mathematics

Access to Document

10.1109/COMPEM.2018.8496457

Cite this

Lai, J., & O'Neil, M. (2018). A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects. In 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018 Article 8496457 (2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/COMPEM.2018.8496457

A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects. / Lai, Jun; O'Neil, Michael.
2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018. Institute of Electrical and Electronics Engineers Inc., 2018. 8496457 (2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Lai, J & O'Neil, M 2018, A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects. in 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018., 8496457, 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018, Institute of Electrical and Electronics Engineers Inc., 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018, Chengdu, China, 3/26/18. https://doi.org/10.1109/COMPEM.2018.8496457

Lai J, O'Neil M. A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects. In 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018. Institute of Electrical and Electronics Engineers Inc. 2018. 8496457. (2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018). doi: 10.1109/COMPEM.2018.8496457

@inproceedings{c6e8c51a038b43a392bd647320ba0b3b,

title = "A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects",

abstract = "Axis-symmetric objects are an important class of shapes that appear in many electromagnetic applications. By using the separation of variables, we are able to derive a fast and high order numerical algorithm that solves the 3D electromagnetic scattering for an arbitrary axis-symmetric object. The main novelty here is to combine the fast recursion formula for the kernel evaluation along the revolution curve and high order generalized Gaussian quadrature for the singular integrals in integral equations. Numerical experiments show that for a modest sized cylinder, we can easily obtain more than 6 digits accuracy in less than 90 seconds on a personal laptop.",

keywords = "Electromagnetic scattering, Fourier decomposition, axis-symmetric shape, fast algorithm, generalized Gaussian quadrature, integral equations",

author = "Jun Lai and Michael O'Neil",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018 ; Conference date: 26-03-2018 Through 28-03-2018",

year = "2018",

month = oct,

day = "17",

doi = "10.1109/COMPEM.2018.8496457",

language = "English (US)",

series = "2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018",

}

TY - GEN

T1 - A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects

AU - Lai, Jun

AU - O'Neil, Michael

PY - 2018/10/17

Y1 - 2018/10/17

N2 - Axis-symmetric objects are an important class of shapes that appear in many electromagnetic applications. By using the separation of variables, we are able to derive a fast and high order numerical algorithm that solves the 3D electromagnetic scattering for an arbitrary axis-symmetric object. The main novelty here is to combine the fast recursion formula for the kernel evaluation along the revolution curve and high order generalized Gaussian quadrature for the singular integrals in integral equations. Numerical experiments show that for a modest sized cylinder, we can easily obtain more than 6 digits accuracy in less than 90 seconds on a personal laptop.

AB - Axis-symmetric objects are an important class of shapes that appear in many electromagnetic applications. By using the separation of variables, we are able to derive a fast and high order numerical algorithm that solves the 3D electromagnetic scattering for an arbitrary axis-symmetric object. The main novelty here is to combine the fast recursion formula for the kernel evaluation along the revolution curve and high order generalized Gaussian quadrature for the singular integrals in integral equations. Numerical experiments show that for a modest sized cylinder, we can easily obtain more than 6 digits accuracy in less than 90 seconds on a personal laptop.

KW - Electromagnetic scattering

KW - Fourier decomposition

KW - axis-symmetric shape

KW - fast algorithm

KW - generalized Gaussian quadrature

KW - integral equations

UR - http://www.scopus.com/inward/record.url?scp=85057280197&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057280197&partnerID=8YFLogxK

U2 - 10.1109/COMPEM.2018.8496457

DO - 10.1109/COMPEM.2018.8496457

M3 - Conference contribution

AN - SCOPUS:85057280197

T3 - 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018

BT - 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018

Y2 - 26 March 2018 through 28 March 2018

ER -

A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects

Abstract

Publication series

Other

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this