Fourth order approximation with complexity reduction approach for the solution of time domain Maxwell equations in free space
Propagation of electromagnetic fields from an antenna in a free space can always be modelled by time domain Maxwell equations. The equations have been used since their creation by Maxwell. Finite difference time domain (FDTD) method has been used since 1966 to model the propagation of electromagneti...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
Springer, Berlin, Heidelberg
2009
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| Online Access: | https://eprints.ums.edu.my/id/eprint/19894/1/Fourth%20order%20approximation%20with%20complexity%20reduction.pdf |
| _version_ | 1825713451180228608 |
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| author | Mohammad Khatim Hasan Mohamed Othman Zulkifly Abbas Jumat Sulaiman Fatimah Ahmad |
| author_facet | Mohammad Khatim Hasan Mohamed Othman Zulkifly Abbas Jumat Sulaiman Fatimah Ahmad |
| author_sort | Mohammad Khatim Hasan |
| collection | UMS |
| description | Propagation of electromagnetic fields from an antenna in a free space can always be modelled by time domain Maxwell equations. The equations have been used since their creation by Maxwell. Finite difference time domain (FDTD) method has been used since 1966 to model the propagation of electromagnetic fields. Previously, we have developed a new version of FDTD method called HSLO-FDTD. The method has shown to solve a 1D free space wave propagation problem 67% faster than the conventional FDTD. The parallel version of the method is then extended to solve 2D free space wave propagation problem. It is found that the method is 85.2% faster than the parallel FDTD method. In this paper, we further extend the method using the combination of fourth order approximation with the complexity reduction approach. The method shows to be faster than the conventional FDTD to simulate the 2D free space wave propagation problem. |
| first_indexed | 2024-03-06T02:56:48Z |
| format | Conference or Workshop Item |
| id | ums.eprints-19894 |
| institution | Universiti Malaysia Sabah |
| language | English |
| last_indexed | 2024-03-06T02:56:48Z |
| publishDate | 2009 |
| publisher | Springer, Berlin, Heidelberg |
| record_format | dspace |
| spelling | ums.eprints-198942018-04-19T07:00:19Z https://eprints.ums.edu.my/id/eprint/19894/ Fourth order approximation with complexity reduction approach for the solution of time domain Maxwell equations in free space Mohammad Khatim Hasan Mohamed Othman Zulkifly Abbas Jumat Sulaiman Fatimah Ahmad Propagation of electromagnetic fields from an antenna in a free space can always be modelled by time domain Maxwell equations. The equations have been used since their creation by Maxwell. Finite difference time domain (FDTD) method has been used since 1966 to model the propagation of electromagnetic fields. Previously, we have developed a new version of FDTD method called HSLO-FDTD. The method has shown to solve a 1D free space wave propagation problem 67% faster than the conventional FDTD. The parallel version of the method is then extended to solve 2D free space wave propagation problem. It is found that the method is 85.2% faster than the parallel FDTD method. In this paper, we further extend the method using the combination of fourth order approximation with the complexity reduction approach. The method shows to be faster than the conventional FDTD to simulate the 2D free space wave propagation problem. Springer, Berlin, Heidelberg 2009 Conference or Workshop Item PeerReviewed text en https://eprints.ums.edu.my/id/eprint/19894/1/Fourth%20order%20approximation%20with%20complexity%20reduction.pdf Mohammad Khatim Hasan and Mohamed Othman and Zulkifly Abbas and Jumat Sulaiman and Fatimah Ahmad (2009) Fourth order approximation with complexity reduction approach for the solution of time domain Maxwell equations in free space. In: Computational Science and Its Applications – ICCSA 2009, 29 June - 2 July 2009, Seoul, South Korea. http://doi.org/10.1007/978-3-642-02454-2_58 |
| spellingShingle | Mohammad Khatim Hasan Mohamed Othman Zulkifly Abbas Jumat Sulaiman Fatimah Ahmad Fourth order approximation with complexity reduction approach for the solution of time domain Maxwell equations in free space |
| title | Fourth order approximation with complexity reduction approach for the solution of time domain Maxwell equations in free space |
| title_full | Fourth order approximation with complexity reduction approach for the solution of time domain Maxwell equations in free space |
| title_fullStr | Fourth order approximation with complexity reduction approach for the solution of time domain Maxwell equations in free space |
| title_full_unstemmed | Fourth order approximation with complexity reduction approach for the solution of time domain Maxwell equations in free space |
| title_short | Fourth order approximation with complexity reduction approach for the solution of time domain Maxwell equations in free space |
| title_sort | fourth order approximation with complexity reduction approach for the solution of time domain maxwell equations in free space |
| url | https://eprints.ums.edu.my/id/eprint/19894/1/Fourth%20order%20approximation%20with%20complexity%20reduction.pdf |
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