“单显”矩阵下加权Laguerre-FDTD法在柱形结构中的应用研究

doi:10.11959/j.issn.1000-436x.2023126

Journal on Communications ›› 2023, Vol. 44 ›› Issue (7): 230-242.doi: 10.11959/j.issn.1000-436x.2023126

• Correspondences • Previous Articles

Research on the application of weighted-Laguerre-FDTD method with “unidirectional explicit” matrix in cylindrical structure

Dawei ZHU¹^,², Hailin CHEN², Zhongwen SHEN¹^,³, Xiuling JIA¹^,⁴, Zhen LI¹

¹ School of Electrical Engineering, Nanjing Vocational University of Industry Technology, Nanjing 210023, China
² National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering, Army Engineering University, Nanjing 210007, China
³ School of Electronic Science and Engineering, Southeast University, Nanjing 210018, China
⁴ School of Electronic Science and Engineering, Nanjing University, Nanjing 210046, China

Revised:2023-07-06 Online:2023-07-01 Published:2023-07-01
Supported by:
The National Natural Science Foundation of China(61701221);Start-up Fund for New Talented Researchers of Nanjing Vocational University of Industry Technology(YK21-02-01);The Natural Science Foundation of the Jiangsu Higher Education Institutions(22KJD510006)

Abstract

Abstract:

To solve the shortcomings of FDTD algorithm in electromagnetic wave propagation in communication applications.A FDTD algorithm under “unidirectional explicit” matrix was constructed and applied to cylindrical structure.Firstly, a new coefficient matrix was established by the ideology of WCS and WLP.Secondly, the perturbation terms were introduced to form the initial value and iterative equations.Finally, the fields on the z axis were treated in special way.Numerical examples prove that the proposed algorithm is superior to the WCS-FDTD and WLP-FDTD in electromagnetic wave propagation.The best improvement efficiency is 83%, accuracy is 88%, and memory consumption is reduced by 44%.Meanwhile, comparing with the conventional FDTD algorithm, it can improve the efficiency of 7 time steps size and reduce the memory consumption by 53% without losing accuracy.Moreover, under the boundary truncation of the PML, the proposed algorithm also shows good electromagnetic wave energy absorption performance, which can reach below -60 dB.

Key words: FDTD, coefficient matrix, explicit treating, weighted-Laguerre-polynomial, special treatment on axis

CLC Number:

TN92

Dawei ZHU, Hailin CHEN, Zhongwen SHEN, Xiuling JIA, Zhen LI. Research on the application of weighted-Laguerre-FDTD method with “unidirectional explicit” matrix in cylindrical structure[J]. Journal on Communications, 2023, 44(7): 230-242.

Figures/Tables 11

References 21

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算法	条件	时间/s	内存/MB
传统FDTD算法（参考值）	cfln=1	704	61.4
文献[6]算法	cfln=1	607	51.5
	cfln=3	257	51.2
	cfln=5	143	51.5
	cfln=7	102	51.5
	cfln=8	不稳定
文献[7]算法	Nt=4	162	30.1
本文算法	Nt=2	98	28.5

Research on the application of weighted-Laguerre-FDTD method with “unidirectional explicit” matrix in cylindrical structure

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