Implementation and analysis of the perfectly matched layer with auxiliary differential equation for the multiresolution time-domain method

Liu Ya-Wen; Chen Yi-Wang; Xu Xin; Liu Zong-Xin

doi:10.7498/aps.62.034101

Abstract

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:

Authors and contacts

1.
National Key Laboratory on Electromagnetic Environment and Electro-optical Engineering, PLA University of Science and Technology, Nanjing 210007, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 60671007).

References

[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

Cited By

[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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Catalog

Vol. 62, Issue 3 - 2013-02-05

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