A Spatial Modes Filtering FETD Method for 3-D Periodic Structures

Authors

  • Yixin Wang Department of Information Technology Shaanxi Police College, Xi’an, 710021, China, School of Physics Xidian University, Xi’an 710071, China
  • Bing Wei School of Physics Xidian University, Xi’an 710071, China
  • Kaihang Fan School of Information and Communications Engineering Xi’an Jiaotong University, Xi’an 710049, China
  • Xinbo He School of Physics Xidian University, Xi’an 710071, China
  • Sihan Zhao Science and Technology on Electromechanical Dynamic Control Laboratory Xi’an, 710065, China

DOI:

https://doi.org/10.13052/2025.ACES.J.400202

Keywords:

3-D periodic structures, finite-element time-domain (FETD), Floquet theorem, non-uniform mesh, periodic boundary condition (PBC), spatial modes filtering (SMF)

Abstract

A spatial modes filtering (SMF) finite-element time-domain (FETD) method with periodic boundary condition (PBC) is proposed for efficiently analyzing the electromagnetic characteristics of 3-D periodic structures with partial fine structures. The system matrices of FETD become asymmetrical because of the introduction of PBC, which prevents the system eigenvalue analysis. By decomposing the system matrix into PBC-independent and PBC-related parts, the unstable spatial modes under the given large time step can be found and removed from the symmetrical PBC-independent system matrices. Then the system matrix equation and time marching of the SMF-FETD and SMF-FETD method based on local eigenvalue solution (LES-SMF-FETD) with PBC are obtained. Numerical results illustrate the efficiency and effectiveness of the SMF-FETD method with PBC based on non-uniform mesh for analyzing the transport properties of 3-D periodic structures.

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Author Biographies

Yixin Wang, Department of Information Technology Shaanxi Police College, Xi’an, 710021, China, School of Physics Xidian University, Xi’an 710071, China

Yixin Wang was born in Xi’an, Shaanxi, China, in 1995. She received the B.S. degree in electromagnetic wave propagation and antenna and the Ph.D. degree in physics from Xidian University, Xi’an, China, in 2017 and 2023, respectively. She is currently working as a physics teacher at Shaanxi Police College. Her current research interests include the finite-element time-domain method and its related methods.

Bing Wei, School of Physics Xidian University, Xi’an 710071, China

Bing Wei was born in Tianshui, Gansu, China, in 1970. He received the B.S. degree in physics from Beijing Normal University, Beijing, China, in 1993, and the Ph.D. degree in radio science from Xidian University, Xi’an, China, in 2004. From 1993 to 1998, he was a physics teacher at Tianshui Normal University, Tianshui, China. From 1998 to 1999, he was a physics teacher at Baoji University of Arts and Science, Baoji, China. Since 2004, he has been with Xidian University. Currently, he is a professor at Xidian University. His research interests include investigations of electromagnetic field theory, numerical field computation, and short pulse interactions om complex objects.

Kaihang Fan, School of Information and Communications Engineering Xi’an Jiaotong University, Xi’an 710049, China

Kaihang Fan was born in Linfen, Shanxi, China, in 1990. She received the B.S. degree in electronic information science and technology and the Ph.D. degree in radio science from Xidian University, Xi’an, China, in 2014 and 2021, respectively. She is currently working as a postdoctoral researcher at the School of Information and Communications Engineering, Xi’an Jiaotong University, Xi’an, China. Her current research interests include the finite-element time-domain method and the multi-physics problem.

Xinbo He, School of Physics Xidian University, Xi’an 710071, China

Xinbo He was born in Shaanxi, China, in 1991. He received the B.S. degree in electromagnetic wave propagation and antennae and the Ph.D. degree in radio science from Xidian University, Xi’an, China, in 2014 and 2021, respectively. He is currently a Post-Doctoral Fellow with the School of Physics, Xidian University. His current research interests include the fields of electromagnetic scattering and the finite-difference time-domain method.

Sihan Zhao, Science and Technology on Electromechanical Dynamic Control Laboratory Xi’an, 710065, China

Sihan Zhao was born in Xi’an, Shaanxi, China, in 1995. She received the B.S. degree in communication engineering from Xi’an University of Post & Telecommunications, Xi’an, China, in 2017, and the Ph.D. degree in radio science from Xidian University, Xi’an, China, in 2023. She is currently a researcher with Science and Technology on Electromechanical Dynamic Control Laboratory. Her current research interests include the finite-difference time-domain method and its related methods.

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Published

2025-02-28

How to Cite

[1]
Y. . Wang, B. . Wei, K. . Fan, X. . He, and S. . Zhao, “A Spatial Modes Filtering FETD Method for 3-D Periodic Structures”, ACES Journal, vol. 40, no. 02, pp. 96–102, Feb. 2025.

Issue

2025: Vol 40 Iss 2

Section

Novel CEM methods & applications

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