Half- and quarter-sweeps implementation of finite-difference time-domain method
The propagation, diffraction, scattering, penetration and interaction phenomena of electromagnetic waves are governed by the well known Maxwell's equation. The applications of Maxwell's equations can be found in many disciplines in science and engineering particularly in antenna design and...
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my.uniten.dspace-308892023-12-29T15:55:19Z Half- and quarter-sweeps implementation of finite-difference time-domain method Md Nusi N. Othman M. 34969260200 56036884700 Finite difference time domain (FDTD) Maxwell's equation Scalar wave-equation The propagation, diffraction, scattering, penetration and interaction phenomena of electromagnetic waves are governed by the well known Maxwell's equation. The applications of Maxwell's equations can be found in many disciplines in science and engineering particularly in antenna design and analysis. Finite Difference Time Domanin (FDTD) is a popular numerical simulation technique for solving problems related to Maxwell's equations. Recently, there is other formulation that can potentially be used to solve Maxwell's equations in source free region. The new formulation, namely the scalar Wave-Equation Finite-Difference Time-Domain (WE-FDTD), is numerically and mathematically equivalent to the conventional FDTD. Unlike the conventional FDTD, the scalar WE-FDTD allows computing any single field component without the necessity of computing other field components. Therefore, significant savings in the computational time and memory storage can be achieved. In this paper, we presented the explicit formulation of the scalar WE-FDTD for free space wave propagation on one dimensional model problem using full-sweep, half-sweep and quarter-sweep approaches which successfully implemented for solving elliptic problems. We analyzed and compared the performance of the scalar WE-FDTD with all approaches to the conventional FDTD method in terms of the computional accuaracy and simulation time. The results found that the proposed formulation significantly reduced the computational time of the method but posed less accuracy as compared to the conventional FDTD method. Final 2023-12-29T07:55:19Z 2023-12-29T07:55:19Z 2009 Article 2-s2.0-70349216986 https://www.scopus.com/inward/record.uri?eid=2-s2.0-70349216986&partnerID=40&md5=064020f5cf72379a7b463178a40e50ba https://irepository.uniten.edu.my/handle/123456789/30889 3 1 45 53 Scopus |
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Finite difference time domain (FDTD) Maxwell's equation Scalar wave-equation Md Nusi N. Othman M. Half- and quarter-sweeps implementation of finite-difference time-domain method |
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The propagation, diffraction, scattering, penetration and interaction phenomena of electromagnetic waves are governed by the well known Maxwell's equation. The applications of Maxwell's equations can be found in many disciplines in science and engineering particularly in antenna design and analysis. Finite Difference Time Domanin (FDTD) is a popular numerical simulation technique for solving problems related to Maxwell's equations. Recently, there is other formulation that can potentially be used to solve Maxwell's equations in source free region. The new formulation, namely the scalar Wave-Equation Finite-Difference Time-Domain (WE-FDTD), is numerically and mathematically equivalent to the conventional FDTD. Unlike the conventional FDTD, the scalar WE-FDTD allows computing any single field component without the necessity of computing other field components. Therefore, significant savings in the computational time and memory storage can be achieved. In this paper, we presented the explicit formulation of the scalar WE-FDTD for free space wave propagation on one dimensional model problem using full-sweep, half-sweep and quarter-sweep approaches which successfully implemented for solving elliptic problems. We analyzed and compared the performance of the scalar WE-FDTD with all approaches to the conventional FDTD method in terms of the computional accuaracy and simulation time. The results found that the proposed formulation significantly reduced the computational time of the method but posed less accuracy as compared to the conventional FDTD method. |
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34969260200 |
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34969260200 Md Nusi N. Othman M. |
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Md Nusi N. Othman M. |
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Md Nusi N. |
title |
Half- and quarter-sweeps implementation of finite-difference time-domain method |
title_short |
Half- and quarter-sweeps implementation of finite-difference time-domain method |
title_full |
Half- and quarter-sweeps implementation of finite-difference time-domain method |
title_fullStr |
Half- and quarter-sweeps implementation of finite-difference time-domain method |
title_full_unstemmed |
Half- and quarter-sweeps implementation of finite-difference time-domain method |
title_sort |
half- and quarter-sweeps implementation of finite-difference time-domain method |
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2023 |
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1806425709930872832 |
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13.214268 |