Efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors
The vertical improper integral method is used to formulate a polyhedral magnetic field integral equation (MFIE), which can decrease the number of singular integrals compared with the traditional MFIE. Each element in the impedance matrix resulted from the equation’s moment method solution based o...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/79418 http://hdl.handle.net/10220/25463 |
| _version_ | 1826116114379177984 |
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| author | Shen, Zhongxiang Shi, Jingfeng Ni, Guyan |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Shen, Zhongxiang Shi, Jingfeng Ni, Guyan |
| author_sort | Shen, Zhongxiang |
| collection | NTU |
| description | The vertical improper integral method is used to
formulate a polyhedral magnetic field integral equation (MFIE),
which can decrease the number of singular integrals compared
with the traditional MFIE. Each element in the impedance matrix resulted from the equation’s moment method solution based on Rao-Wilton-Glisson (RWG) basis function is divided into two parts: the induced surface current part and the scattered field part. We obtain the analytical expressions of the induced surface current part through mathematical manipulations, and indicate that some of the integrals in the scattered field part are zero and the remaining non-zero integrals are non-singular. These results can greatly improve the efficiency of the numerical solution. Numerical results show that our new method is more accurate and efficient than the traditional method in computing the impedance matrices. |
| first_indexed | 2024-10-01T04:06:05Z |
| format | Journal Article |
| id | ntu-10356/79418 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:06:05Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/794182020-03-07T13:57:23Z Efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors Shen, Zhongxiang Shi, Jingfeng Ni, Guyan School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering::Antennas, wave guides, microwaves, radar, radio The vertical improper integral method is used to formulate a polyhedral magnetic field integral equation (MFIE), which can decrease the number of singular integrals compared with the traditional MFIE. Each element in the impedance matrix resulted from the equation’s moment method solution based on Rao-Wilton-Glisson (RWG) basis function is divided into two parts: the induced surface current part and the scattered field part. We obtain the analytical expressions of the induced surface current part through mathematical manipulations, and indicate that some of the integrals in the scattered field part are zero and the remaining non-zero integrals are non-singular. These results can greatly improve the efficiency of the numerical solution. Numerical results show that our new method is more accurate and efficient than the traditional method in computing the impedance matrices. Accepted version 2015-04-28T01:33:49Z 2019-12-06T13:24:47Z 2015-04-28T01:33:49Z 2019-12-06T13:24:47Z 2014 2014 Journal Article Ni, G., Shen, Z., & Shi, J. (2015). Efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors. IEEE transactions on antennas and propagation, 63(2), 630-635. 0018-926X https://hdl.handle.net/10356/79418 http://hdl.handle.net/10220/25463 10.1109/TAP.2014.2384036 en IEEE transactions on antennas and propagation © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [Article DOI: http://dx.doi.org/10.1109/TAP.2014.2384036]. 6 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering::Antennas, wave guides, microwaves, radar, radio Shen, Zhongxiang Shi, Jingfeng Ni, Guyan Efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors |
| title | Efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors |
| title_full | Efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors |
| title_fullStr | Efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors |
| title_full_unstemmed | Efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors |
| title_short | Efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors |
| title_sort | efficient computation of the impedance matrix of magnetic field integral equation for polyhedral conductors |
| topic | DRNTU::Engineering::Electrical and electronic engineering::Antennas, wave guides, microwaves, radar, radio |
| url | https://hdl.handle.net/10356/79418 http://hdl.handle.net/10220/25463 |
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