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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publication2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781538612415
DOIs
StatePublished - Oct 17 2018
Event2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018 - Chengdu, China
Duration: Mar 26 2018Mar 28 2018

Other

Other2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018
CountryChina
CityChengdu
Period3/26/183/28/18

Fingerprint

Electromagnetic Scattering
electromagnetic scattering
Integral equations
Scattering
Higher Order
recursive functions
Recursion Formula
Gaussian Quadrature
digits
Separation of Variables
Singular Integrals
Digit
quadratures
Numerical Algorithms
integral equations
Integral Equations
Experiments
Numerical Experiment
electromagnetism
kernel

Keywords

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

ASJC Scopus subject areas

  • Radiation
  • Electrical and Electronic Engineering
  • Computational Mathematics

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 [8496457] 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.

Research output: Chapter in Book/Report/Conference proceedingConference 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, 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 https://doi.org/10.1109/COMPEM.2018.8496457
Lai, Jun ; O'Neil, Michael. / A Fast and High Order Algorithm for the Electromagnetic Scattering of Axis-Symmetric Objects. 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018. Institute of Electrical and Electronics Engineers Inc., 2018.
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