Exponential time differencing based efficient SC-PML for RCS simulation

doi:10.23919/JSEE.2020.000045

Journal of Systems Engineering and Electronics ›› 2020, Vol. 31 ›› Issue (4): 703-711.doi: 10.23919/JSEE.2020.000045

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Exponential time differencing based efficient SC-PML for RCS simulation

Liqiang NIU¹(), Yongjun XIE¹(), Haolin JIANG^2,*(), Peiyu WU¹()

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

Received:2020-02-05 Online:2020-08-25 Published:2020-08-25
Contact: Haolin JIANG E-mail:liqiangniu@126.com;yjxie@buaa.edu.cn;haolinjiang.cem@gmail.com;wupuuu@yahoo.com
About author:NIU Liqiang was born in 1980. He received his B.Sc. degree and M.Sc. 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. His current research interests include computational electromagnetics, and electronic counter-measures. E-mail: liqiangniu@126.com|XIE Yongjun was born in 1968. He received his B.Sc., M.Sc., and Ph.D. degrees in electronic engineering from Xidian University, Xian, 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. 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|JIANG Haolin was born in 1989. He received his B.Sc. degree in the School of Electronic Engineering from Tianjin University of Technology and Education in 2012, and his M.Sc. 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|WU Peiyu was born in 1994. He received his B.Sc. degree and M.Sc. 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, antenna and microwave components. E-mail: wupuuu@yahoo.com
Supported by:
the National Natural Science Foundation of China(61571022);the National Natural Science Foundation of China(61571022; 611971022);This work was supported by the National Natural Science Foundation of China (61571022; 611971022)

Abstract

Abstract:

To efficiently simulate and calculate the radar cross section (RCS) related electromagnetic problems by employing the finite-difference time-domain (FDTD) algorithm, an efficient stretched coordinate perfectly matched layer (ESC-PML) based upon the exponential time differencing (ETD) method is proposed. The proposed implementation can not only reduce the number of auxiliary variables in the SC-PML regions but also maintain the ability of the original SC-PML in terms of the absorbing performance. Compared with the other existed algorithms, the ETDFDTD method shows the least memory consumption resulting in the computational efficiency. The effectiveness and efficiency of the proposed ESC-PML scheme is verified through the RCS relevant problems including the perfect E conductor (PEC) sphere model and the patch antenna model. The results indicate that the proposed scheme has the advantages of the ETD-FDTD method and ESC-PML scheme in terms of high computational efficiency and considerable computational accuracy.

Key words: exponential time differencing (ETD), efficient stretched coordinate (ESC), finite-difference time-domain (FDTD), perfectly matched layer (PML), radar cross section (RCS)

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.

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References 17

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PML algorithm	Auxiliary variable	M/D	A/S	Coefficient
UPML	2	6	8	8
SC-PML	2	6	8	8
LI-PML	2	6	7	6
OR-PML	2	6	7	6
CT-ADE-PML	1	4	6	4
CT-BZT-PML	1	4	6	4
CT-MZT-PML	1	4	6	2
ETD-PML	1	4	4	2

PML algorithm	M/D	A/S	Exponential manipulation
CT-MZT-PML	8	6	4
ETD-PML	8	4	3

PML algorithm	Memory/MB	Computational time/s	MRRE/dB	Time reduction/%
SC-PML	8.2	198.6	-69.8	—
UPML	8.2	201.7	-67.2	-1.5
LI-PML	8.0	185.1	-69.8	6.8
OR-PML	8.1	182.9	-69.8	7.9
CT-ADE-PML	7.6	154.5	-69.8	22.2
CT-BZT-PML	7.6	153.7	-69.8	22.6
CT-MZT-PML	7.7	164.1	-77.1	17.4
ETD-PML	7.2	140.0	-65.9	29.5

Parameter	Size
Parameter	90×90×90	100×100×100	200×200×200
Memory SC-PML/MB	6.7	8.2	20.9
Memory ETD-PML/MB	6.0	7.2	17.4
Time SC-PML/s	94.7	198.6	784.2
Time ETD-PML/s	79.1	140.0	491.6
Reduction/%	16.5	29.5	37.3

PML algorithm	Memory/MB	Computational time/s	MRRE/dB	Time reduction/%
SC-PML	6.8	159.2	-61.2	—
UPML	6.8	161.7	-59.4	-1.5
LI-PML	6.7	140.1	-61.2	12.0
OR-PML	6.7	140.0	-61.2	12.1
CT-ADE-PML	5.9	129.2	-61.2	18.8
CT-BZT-PML	5.9	129.8	-61.2	18.5
CT-MZT-PML	6.1	132.5	-63.0	16
ETD-PML	5.3	116.7	-56.6	26.7

Exponential time differencing based efficient SC-PML for RCS simulation

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