### 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) |
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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 | |

State | Published - Oct 17 2018 |

Event | 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018 - Chengdu, China Duration: Mar 26 2018 → Mar 28 2018 |

### Other

Other | 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018 |
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Country | China |

City | Chengdu |

Period | 3/26/18 → 3/28/18 |

### Fingerprint

### 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

*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.

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

*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

}

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 - axis-symmetric shape

KW - Electromagnetic scattering

KW - fast algorithm

KW - Fourier decomposition

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

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

PB - Institute of Electrical and Electronics Engineers Inc.

ER -