Higher order implicit CNDG-PML algorithm for left-handed materials

doi:10.23919/JSEE.2021.000004

Journal of Systems Engineering and Electronics ›› 2021, Vol. 32 ›› Issue (1): 31-37.doi: 10.23919/JSEE.2021.000004

• ELECTRONICS TECHNOLOGY • Previous Articles Next Articles

Higher order implicit CNDG-PML algorithm for left-handed materials

Yanfang CHEN¹(), Liwei WANG^2,*()

¹ School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China
² Tianjin Key Laboratory of Intelligent Information Processing in Remote Sensing, Tianjin Zhongwei Aerospace Data System Technology Co., Ltd., Tianjin 300450, China

Received:2020-04-26 Online:2021-02-25 Published:2021-02-25
Contact: Liwei WANG E-mail:cyf@tju.edu.cn;suoaiw700a@163.com
About author:|CHEN Yanfang was born in 1987. She received her B.E. degree in electronic information engineering and M.E. degree in communication and information system from Tianjin University, Tianjin, China, in 2009 and 2012 respectively. She is currently studying communication and information system at Tianjin University. Her research interests include computational electromagnetics and artificial intelligence.E-mail: cyf@tju.edu.cn||WANG Liwei was born in 1992. He received his B.E. degree in electronic information engineering from Tianjin Polytechnic University, Tianjin, China, in 2016 and M.E. degree in the School of Electronic and Information Engineering, Tianjin University, Tianjin, China, in 2018. He is now an algorithm engineer at Tianjin Zhongwei Aerospace Data System Technology Co., Ltd. His research interests include computational electromagnetics and machine learning.E-mail: suoaiw700a@163.com

Abstract

Abstract:

By incorporating the higher order concept, the piecewise linear recursive convolution (PLRC) method and Crank-Nicolson Douglas-Gunn (CNDG) algorithm, the unconditionally stable complex frequency shifted nearly perfectly matched layer (CFS-NPML) is proposed to terminate the left-handed material (LHM) domain. The proposed scheme takes advantages of CFS-NPML formulation, the higher order concept PLRC method and the unconditionally stable CNDG algorithm in terms of absorbing performance, computational efficiency, calculation accuracy and convenient implementation. A numerical example is carried out to demonstrate the effectiveness and efficiency of the proposed scheme. The results indicate that the proposed scheme can not only have considerable absorbing performance but also maintain the unconditional stability of the algorithm with the enlargement of time steps.

Key words: complex frequency shifted nearly perfectly matched layer (CFS-NPML), Crank-Nicolson Douglas-Gunn (CNDG), left-handed material (LHM), piecewise linear recursive convolution (PLRC)

Yanfang CHEN, Liwei WANG. Higher order implicit CNDG-PML algorithm for left-handed materials[J]. Journal of Systems Engineering and Electronics, 2021, 32(1): 31-37.

Figures/Tables 4

References 22

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Algorithm	CFLN	Memory/MB	CPU time/s	Reduction/%
FDTD-PML	1	2.8	32.7	—
CNDG-PML	1	3.7	64.6	?97.6
CNDG-PML	10	3.7	8.1	75.2
FDTD-HO-PML	1	4.4	82.9	?153.5
CNAD-HO-PML	1	6.9	101.2	?209.5
CNAD-HO-PML	10	6.9	12.4	62.1
CNDG-HO-NPML	1	7.1	109.4	?234.6
CNDG-HO-NPML	10	7.1	13.1	60.0

Higher order implicit CNDG-PML algorithm for left-handed materials

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