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将基于辅助微分方程的完全匹配层(ADE-PML)吸收边界条件引入到基于Daubechies尺度函数的时域多分辨率分析算法中. 与目前广泛应用的Berenger完全匹配层(PML)和各向异性介质完全匹配层(APML) 相比, 该吸收边界条件的实现更加容易且更节省内存. 数值结果表明, ADE-PML在吸收传播模和低频凋落模方面均优于PML和APML.
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关键词:
- 完全匹配层 /
- 辅助微分方程 /
- 时域多分辨率分析 /
- Daubechies尺度函数
A new implementation of perfectly matched layer (PML) with auxiliary differential equation (ADE-PML) is presented for the multiresolution time-domain method. The implementation is easier to obtain and can save more memories than the popularly used PML proposed by Berenger and the anisotropic perfectly matched layer (APML) when a more generalized medium is treated. Numerical results demonstrate that the ADE-PML is more superior to the PML and APML in absorbing propagation modes and low-frequency evanescent modes.-
Keywords:
- perfectly matched layer /
- auxiliary differential equation /
- multiresolution time-domain /
- Daubechies scaling function
[1] Krumpholz M, Katehi L P B 1996 IEEE MTT 44 555
[2] Dai S Y, Wu Z S, Xu Y B 2007 Acta Phys. Sin. 56 786 (in Chinese) [代少玉, 吴振森, 徐仰彬 2007 56 786]
[3] Cheong Y W, Lee Y M, Ra K H, Kang J G, Shin C C 1999 Microwave Guided Wave Lett. 9 297
[4] Wei X, Li E, Liang C 2002 IEEE Microwave Wireless Comp. Lett. 12 392
[5] Tentzeris E M, Robertson R L, Harvey J F, Katehi L P B 1999 IEEE Trans. Antennas Propagat. 47 1709
[6] Wei X C, Liang C H 2001 Acta Electronica Sinica 29 1668 (in Chinese) [魏兴昌, 梁昌洪 2001 电子学报 29 1668]
[7] Dai S Y, Wu Z S 2006 Chinese Journal of Radio Science 21 712 (in Chinese) [代少玉, 吴振森 2006 电波科学学报 21 712]
[8] Cao Q, Chen Y 2003 IEEE Trans. Antennas Propagat. 51 350
[9] Guo Y F, Kong F M, Li K, Liu Y, Ling J 2004 Journal of Optoelectronics cdot Laser 15 238 (in Chinese) [郭毅峰, 孔繁敏, 李康, 刘 艳, 凌洁 2004 光电子·激光 15 238]
[10] Wang L H, Wu X L 2007 Journal of Hefei University of Technology 30 108 (in Chinese) [王丽华, 吴先良 2007 合肥工业大学学报 30 108]
[11] Wang L, Liang C 2006 Microwave Opt. Technol. Lett. 48 1924
[12] Kuzuoglu M, Mittra R 1996 IEEE Microwave Guided Wave Lett. 6 447
[13] Gedney S D, Liu G, Roden J A, Zhu A 2001 IEEE Trans. Antennas Propagat. 49 1554
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[1] Krumpholz M, Katehi L P B 1996 IEEE MTT 44 555
[2] Dai S Y, Wu Z S, Xu Y B 2007 Acta Phys. Sin. 56 786 (in Chinese) [代少玉, 吴振森, 徐仰彬 2007 56 786]
[3] Cheong Y W, Lee Y M, Ra K H, Kang J G, Shin C C 1999 Microwave Guided Wave Lett. 9 297
[4] Wei X, Li E, Liang C 2002 IEEE Microwave Wireless Comp. Lett. 12 392
[5] Tentzeris E M, Robertson R L, Harvey J F, Katehi L P B 1999 IEEE Trans. Antennas Propagat. 47 1709
[6] Wei X C, Liang C H 2001 Acta Electronica Sinica 29 1668 (in Chinese) [魏兴昌, 梁昌洪 2001 电子学报 29 1668]
[7] Dai S Y, Wu Z S 2006 Chinese Journal of Radio Science 21 712 (in Chinese) [代少玉, 吴振森 2006 电波科学学报 21 712]
[8] Cao Q, Chen Y 2003 IEEE Trans. Antennas Propagat. 51 350
[9] Guo Y F, Kong F M, Li K, Liu Y, Ling J 2004 Journal of Optoelectronics cdot Laser 15 238 (in Chinese) [郭毅峰, 孔繁敏, 李康, 刘 艳, 凌洁 2004 光电子·激光 15 238]
[10] Wang L H, Wu X L 2007 Journal of Hefei University of Technology 30 108 (in Chinese) [王丽华, 吴先良 2007 合肥工业大学学报 30 108]
[11] Wang L, Liang C 2006 Microwave Opt. Technol. Lett. 48 1924
[12] Kuzuoglu M, Mittra R 1996 IEEE Microwave Guided Wave Lett. 6 447
[13] Gedney S D, Liu G, Roden J A, Zhu A 2001 IEEE Trans. Antennas Propagat. 49 1554
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