Journal of electromagnetic engineering and science

  • 제9권4호
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  • Pages.211-217
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  • 2009
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  • 2671-7255(pISSN)
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  • 2671-7263(eISSN)
한국전자파학회 (The Korean Institute of Electromagnetic Engineering and Science)
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A Three-Dimensional Locally One-Dimensional Multiresolution Time-Domain Method Using Daubechies Scaling Function

  • Ryu, Jae-Jong (School of Electrical Engineering and Computer Science, Kyungpook National University) ;
  • Lee, Wu-Seong (School of Electrical Engineering and Computer Science, Kyungpook National University) ;
  • Kim, Ha-Chul (Department of Information and Communication Engineering, Korea Naval Academy) ;
  • Choi, Hyun-Chul (School of Electrical Engineering and Computer Science, Kyungpook National University)
  • 발행 : 2009.12.31
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초록

A three-dimensional locally one-dimensional multiresolution time-domain(LOD-MRTD) method is introduced and unconditional stability is proved analytically. The updating formulations have fewer terms on the right-hand side than those of an alternating direction implicit MRTD(ADI-MRTD). The validation of the method is presented using the resonance frequency problem of an empty cavity. The reduction of the numerical dispersion technique is also combined with the proposed method. The numerical examples show that the combined method can improve the accuracy significantly.

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참고문헌

  1. M. Krumpholz, L. P. B. Katehi, "MRTD: New time domain scheme based on multiresolution analysis", IEEE Trans. Microw. Theory Tech., vol. 44, no. 2, pp. 555-571, Apr. 1996 https://doi.org/10.1109/22.491023
  2. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media", IEEE Trans. Ant. Propag., vol. AP-14, no. 3, pp. 302-307, Apr. 1996
  3. Z. Chen, J. Zhang, "Unconditionally stable 3-D ADI-MRTD method free of the CFL stability condition", IEEE Microw. Wireless Component Lett., vol. 11, no. 8, pp. 349-351, Aug. 2001 https://doi.org/10.1109/7260.941786
  4. Y. Jing, J. Jilong, and S. Qiang, "Analysis of alternating direction implicit multiresolution time-domain method using Daubechies' scaling function", Proc. IEEE Int'l. Conf. Microw. Millimeter Wave Technol., vol. 2, pp. 663-665, 2008
  5. J. Shibayama, M. Muraki, J. Yamauchi and H. Nakano, "Efficient implicit FDTD algorithm based on locally one-dimensional scheme", Electronics Letters, vol. 41, no. 19, pp. 1046-1047, Sep. 2005 https://doi.org/10.1049/el:20052381
  6. E. L. Tan, "Unconditionally stable LOD-FDTD method for 3-D Maxwell's equations", IEEE Microw. Wireless Component Lett., vol. 17, no. 2, pp. 85-87, Feb. 2007 https://doi.org/10.1109/LMWC.2006.890166
  7. I. Ahmed, E. Chua, E. Li, and Z. Chen, "Development of the three-dimensional unconditionally stable LOD-FDTD method", IEEE Trans. Ant. Propag., vol. 56, no. 11, pp. 3596-3600, Nov. 2008 https://doi.org/10.1109/TAP.2008.2005544
  8. Q. Liu, Z. Chen, and W. Yan, "An efficient unconditionally stable three-dimensional LOD-FDTD method", IEEE MTT-S Int'l. Microw. Symp., pp. 45-48, Jun. 2008
  9. K. Jung, F. L. Teixeira, "An iterative unconditionally stable LOD-FDTD", IEEE Microw. Wireless Component Lett., vol. 18, no. 2, pp. 76-78, Feb. 2008 https://doi.org/10.1109/LMWC.2007.915026
  10. K. Kong, M. Jeong, H. Lee, and S. Park, "A simple method to reduce the splitting error in the LODFDTD method", J. KIEES, vol. 9, no. 1, pp. 12-16, Mar. 2009
  11. J. S. Juntunen, T. D. Tsiboukis, "Reduction of numerical dispersion in FDTD method through artificial anisotropy", IEEE Trans. Microw. Theory Tech., vol. 48, no. 4, pp. 582-588, Apr. 2000 https://doi.org/10.1109/22.842030
  12. H. Zheng, K. Leung, "An efficient method to re-duce the numerical dispersion in the ADI-FDTD", IEEE Trans. Microw. Theory Tech., vol. 53, no. 7, pp. 2295-2301, Jul. 2005 https://doi.org/10.1109/TMTT.2005.850441
  13. A. P. Zhao, "Improvement on the numerical dispersion of 2-D ADI-FDTD with artificial anisotropy", IEEE Microw. Wireless Component Lett., vol. 14, no. 6, pp. 292-294, Jun. 2004 https://doi.org/10.1109/LMWC.2004.828002
  14. J. Ryu, W. Lee, J. Lee, Y. Moon, H. Kim, and H. Choi, "Reduction of numerical dispersion error in 3-D ADI-MRTD method with the coarse mesh", IEEE Microw. Wireless Component Lett., vol. 19, no. 8, pp. 485-487, Aug. 2009 https://doi.org/10.1109/LMWC.2009.2024822
  15. F. Zheng, Z. Chen, "Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method", IEEE Trans. Microw. Theory Tech., vol. 49, no. 5, pp. 1006-1009, May 2001 https://doi.org/10.1109/22.920165