### Abstract

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.

Original language | English |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Pages | 752-763 |

Number of pages | 12 |

Volume | 5592 LNCS |

Edition | PART 1 |

DOIs | |

Publication status | Published - 2009 |

Event | International Conference on Computational Science and Its Applications, ICCSA 2009 - Seoul Duration: 29 Jun 2009 → 2 Jul 2009 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Number | PART 1 |

Volume | 5592 LNCS |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | International Conference on Computational Science and Its Applications, ICCSA 2009 |
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City | Seoul |

Period | 29/6/09 → 2/7/09 |

### Fingerprint

### Keywords

- Complexity reduction approach
- Finite difference method
- Free space wave propagation

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(PART 1 ed., Vol. 5592 LNCS, pp. 752-763). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5592 LNCS, No. PART 1). https://doi.org/10.1007/978-3-642-02454-2_58

**Fourth order approximation with complexity reduction approach for the solution of time domain maxwell equations in free space.** / Hasan, Mohammad Khatim; Othman, Mohamed; Abbas, Zulkifly; Sulaiman, Jumat; Ahmad, Fatimah.

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

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).*PART 1 edn, vol. 5592 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 5592 LNCS, pp. 752-763, International Conference on Computational Science and Its Applications, ICCSA 2009, Seoul, 29/6/09. https://doi.org/10.1007/978-3-642-02454-2_58

}

TY - GEN

T1 - Fourth order approximation with complexity reduction approach for the solution of time domain maxwell equations in free space

AU - Hasan, Mohammad Khatim

AU - Othman, Mohamed

AU - Abbas, Zulkifly

AU - Sulaiman, Jumat

AU - Ahmad, Fatimah

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Complexity reduction approach

KW - Finite difference method

KW - Free space wave propagation

UR - http://www.scopus.com/inward/record.url?scp=70350637642&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350637642&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-02454-2_58

DO - 10.1007/978-3-642-02454-2_58

M3 - Conference contribution

AN - SCOPUS:70350637642

SN - 364202453X

SN - 9783642024535

VL - 5592 LNCS

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 752

EP - 763

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

ER -