Unsplit-field higher-order nearly PML for arbitrary media in EM simulation

doi:10.23919/JSEE.2021.000001

Journal of Systems Engineering and Electronics ›› 2021, Vol. 32 ›› Issue (1): 1-6.doi: 10.23919/JSEE.2021.000001

• ELECTRONICS TECHNOLOGY • Next Articles

Unsplit-field higher-order nearly PML for arbitrary media in EM simulation

Haolin JIANG¹(), Yongjun XIE²(), Peiyu WU²(), Jianfeng ZHANG¹(), Liqiang NIU^2,*()

¹ School of Infomation Science and Engineering, Southeast University, Nanjing 210096, China
² School of Electronic and Information Engineering, Beihang University, Beijing 100191, China

Received:2020-01-14 Online:2021-02-25 Published:2021-02-25
Contact: Liqiang NIU E-mail:haolinjiang.cem@gmail.com;yjxie@buaa.edu.cn;wupuuu@yahoo.com;jfzhang@seu.edu.cn;liqiangniu@126.com
About author:|JIANG Haolin was born in 1989. He received his B.S. degree in the School of Electronic Engineering from Tianjin University of Technology and Education in 2012, and M.S. degree in the School of Electronics and Information Engineering from Tianjin Polytechnic University in 2016. He is currently working toward his Ph.D. degree in the School of Information Science and Engineering at Southeast University, Nanjing. His current research interests include computational electromagnetics and parallel computing. E-mail: haolinjiang.cem@gmail.com||XIE Yongjun was born in 1968. He received his B.S., M.S., and Ph.D. degrees in electronic engineering from Xidian University, Xi’an, China, in 1990, 1993, and 1996, respectively. From March 1998 to November 1999, he joined the University of Texas at Dallas, Dallas, TX, USA, as a postdoctoral research associate. From December 1999 to October 2001, he was a postdoctoral research associate with Duke University. In October 2001, he joined Xidian University as a professor. In 2004, he was supported by the Program for the New Century Excellent Talents launched by Ministry of Education, China. Since 2009, he is currently a professor with Beihang University, Beijing, China. His research interests include computational electromagnetics, electromagnetic theory, microwave technology, antenna theory, microwave components, terahertz technology and mobile telecommunication. E-mail: yjxie@buaa.edu.cn||WU Peiyu was born in 1994. He received his B.S. and M.S. degrees in the School of Electronics and Information Engineering from Tianjin Polytechnic University in 2016 and 2019, respectively. He is currently working towards his Ph.D. degree in the School of Electronic and Information Engineering at Beihang University, Beijing. His current research interests include the computational electromagnetics, antennas and microwave components. E-mail: wupuuu@yahoo.com||ZHANG Jianfeng was born in 1979. He received his B.E. degree from Shandong University, Shandong, in 2000, M.E. degree from the 14th Research Institute of China Electronics Technology Group Corporation, Nanjing, China, in 2004, and Ph.D. degree from Southeast University, Nanjing, China, in 2008. He is currently a lecturer with the School of Information Science and Engineering, Southeast University. His current research interests include computational electromagnetics and fast algorithms. E-mail: jfzhang@seu.edu.cn||NIU Liqiang was born in 1980. He received his B.S. and M.S. degrees in the School of Information Science and Engineering from Shandong University of Science and Technology and the School of Physics Science and Information Technology from Liaocheng University, respectively. He is currently working towards his Ph.D. degree in the School of Electronic and Information Engineering at Beihang University, Beijing. His current research interests include computational electromagnetics and electronic counter-measures. E-mail: liqiangniu@126.com
Supported by:
This work was supported by the National Natural Science Foundation of China (61571022; 61971022)

Abstract

Abstract:

An unsplit-field higher order nearly perfectly matched layer (NPML) based on the auxiliary differential equation approach is introduced in three-dimensional finite-difference time-domain lattices. The proposed scheme has the advantage of both the NPML scheme and the higher order concept in terms of the improved absorbing performance and considerable computational efficiency. By incorporating with the generalized material independent concept, the proposed implementation is independent of the material’s type. Thus, it has the advantages of terminating arbitrary media without changing the updated equations in the PML regions. Its effectiveness and efficiency is further demonstrated through numerical examples.

Key words: finite-difference time-domain (FDTD), electromagnetic (EM) simulation, nearly perfectly matched layer (NPML), higher order perfectly matched layer (HO-PML)

Haolin JIANG, Yongjun XIE, Peiyu WU, Jianfeng ZHANG, Liqiang NIU. Unsplit-field higher-order nearly PML for arbitrary media in EM simulation[J]. Journal of Systems Engineering and Electronics, 2021, 32(1): 1-6.

Figures/Tables 8

Fig 1

Fig 2

Table 1

Fig 3

Fig 4

Fig 5

Table 2

Fig 6

References 15

1	TAFLOVE A, HAGNESS S C. Computational electrodynamics: the finite-difference time-domain method. Boston: Artech House, 2005.
2	BERENGER J P A perfectly matched layer for the absorption of electromagnetic waves. Journal of Computational Physics, 1994, 114 (2): 185- 200. doi: 10.1006/jcph.1994.1159
3	CHEW W C, WEEDON W H A 3D perfectly matched medium from modified Maxwell’s equations with stretched coordinates. Microwave and Optical Technology Letters, 1994, 7 (13): 599- 604. doi: 10.1002/mop.4650071304
4	JIANG H L, CUI T J Simple implementation for finite-difference time-domain method. Electronic Letters, 2018, 54 (16): 988- 990.
5	SACKS Z S, KINGSLAND D M, LEE R, et al A perfectly matched anisotropic absorber for use as an absorbing condition. IEEE Trans. on Antennas and Propagation, 1995, 43 (12): 1460- 1463. doi: 10.1109/8.477075
6	CUMMER S A A simple, nearly perfectly matched layer for general electromagnetic media. IEEE Microwave & Wireless Components Letters, 2003, 13 (3): 128- 130.
7	BERENGER J P Evanescent waves in PML’s: origin of the numerical reflection in wave-structure interaction problems. IEEE Trans. on Antennas and Propagation, 1999, 47 (10): 1497- 1503. doi: 10.1109/8.805891
8	BERENGER J P Numerical reflection from FDTD-PMLs: a comparison of the split PML with the unsplit and CFS PMLs. IEEE Trans. on Antennas and Propagation, 2002, 50 (3): 258- 265. doi: 10.1109/8.999615
9	KUZUOGLU M, MITTRA R Frequency dependence of the constitutive parameters of causal perfectly matched anisotropic absorbers. IEEE Microwave & Guided Wave Letters, 1996, 6 (12): 447- 449.
10	CORREIA D, JIN J M Performance of regular PML, CFS-PML, and second-order PML for waveguide problems. Microwave and Optical Technology Letters, 2006, 48 (10): 2121- 2126. doi: 10.1002/mop.21872
11	GIANNOPOULOS A Unsplit implementation of higher order PMLs. IEEE Trans. on Antennas and Propagation, 2012, 60 (3): 1479- 1485. doi: 10.1109/TAP.2011.2180344
12	LI J X, WU P Y, JIANG H L The implementation of unconditionally stable higher order PML based on the implicit CNAD-FDTD algorithm. Journal of Electromagnetic Waves and Applications, 2019, 33 (2): 151- 164. doi: 10.1080/09205071.2018.1530615
13	JIANG H L, ZHANG J F, CUI T J An alternative PML implementation for arbitrary media. IEEE Trans. on Antennas and Propagation, 2018, 67 (1): 612- 615.
14	JIANG H L, CUI T J, WU L T, et al Efficient implementations of SC-PML for arbitrary media using DSP techniques. IEEE Trans. on Electromagnetic Compatibility, 2018, 61 (3): 962- 965.
15	RODEN J A, GEDNEY S D Convolution PML (CPML): an efficient FDTD implementation of the CFS-PML for arbitrary media. Microwave and Optical Technology Letters, 2000, 27 (5): 334- 339. doi: 10.1002/1098-2760(20001205)27:5<334::AID-MOP14>3.0.CO;2-A

PML algorithm	CPU time/s	Memory/Mb	Time improvement/%
NPML	161.3	10.7	—
CFS-PML	185.0	11.4	14.7
HO-PML	340.1	24.0	110.8
HO-NPML	300.9	21.7	85.5

PML algorithm	CPU time/s	Memory/Mb	Time improvement/%
NPML	1 872	49	—
CFS-PML	2 180	57	16.5
HO-PML	4 070	71	117.4
HO-NPML	3 891	66	107.9

[1]	Liqiang NIU, Yongjun XIE, Haolin JIANG, Peiyu WU. Exponential time differencing based efficient SC-PML for RCS simulation [J]. Journal of Systems Engineering and Electronics, 2020, 31(4): 703-711.
[2]	Kuisong Zheng, Tengjiang Ding, Hui Yu, and Zhaoguo Hou. Application of DFT in bi-static RCS calculation of complex electrically large targets [J]. Journal of Systems Engineering and Electronics, 2015, 26(4): 732-.
[3]	Weijun Zhong, Chuangming Tong, Guorong Huang, and Yan Geng. New UWB imaging algorithm for multiple targets detection [J]. Journal of Systems Engineering and Electronics, 2011, 22(6): 905-909.

Unsplit-field higher-order nearly PML for arbitrary media in EM simulation

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

Share this article

Figures/Tables 8

References 15

Related Articles 3

Recommended Articles

Metrics

Comments