Analysis of Transmission Characteristics of EBG Structures by Subgridding Unconditionally Stable FETD Method

Authors

  • Yixin Wang 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

DOI:

https://doi.org/10.13052/2022.ACES.J.370901

Keywords:

Electromagnetic bandgap (EBG), finite-element time-domain (FETD), Floquet theorem, spatial modes filtering, subgridding technology

Abstract

Subgridding unconditionally-stable finite-element time-domain method based on spatial modes filtering (SSMF-FETD) is combined with the Floquet theorem and used to analyze the transmission characteristics of 2-D dielectric pillar-array electromagnetic bandgap (EBG) structures with cross-section shapes of square and H. The computational stress is effectively reduced by exploiting the periodicity of the EBG structure and subgridding technique. Through the spatial modes filtering (SMF) method, the subgridding FETD (S-FETD) method is developed into the SSMF-FETD with larger time steps and higher computational efficiency. The effect of geometric and electromagnetic parameters on transmission characteristics of EBG structures are analyzed and compared in detail, the conclusions are as follows: the optimal filling ratio of the dielectric square-pillar EBG structure is 0.5, the composite H-pillar EBG structure has multiple bandgaps and can effectively save metal materials while satisfying the design requirements. The effect of electromagnetic parameters can be uniformly analyzed from the perspective of the average relative permittivity; with its increase, the central frequency of the bandgap becomes lower. It should be noted that the bandgap distribution and variation of composite H-pillar EBG structure are related to how its dielectric parameters change and combine. The results can serve as a reference for similar structures design.

Downloads

Download data is not yet available.

Author Biographies

Yixin Wang, School of Physics, Xidian University, Xi’an, 710071, China

Yixin Wang was born in Xi’an, Shaanxi, China, in 1995. She received her B.S. degree in Electromagnetic Wave Propagation And Antennas from Xidian University, Xi’an, China, in 2017. She is currently pursuing a Ph.D. degree in Radio Science at the School of Physics, Xidian University. 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 a B.S. degree in Physics from Beijing Normal University, Beijing, China, in 1993, and a Ph.D. degree in Radio Science from Xidian University, Xi’an, China, in 2004. From 1993 to 1998, he was a Physics professor at Tianshui Normal University, Tianshui, China. From 1998 to 1999, he was a Physics professor at Baoji University of Arts and Science, Baoji, China. Since 2004, he was been with Xidian University. Currently, he is also a professor at Xidian University. His research interests include investigations of electromagnetic field theory, numerical field computation, and short pulse interactions on 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 a B.S. degree in Electronic Information Science And Technology and a 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 multiphysics problem.

References

A. Pirhadi, H. Bahrami, and A. Mallahzadeh, “Electromagnetic band gap (EBG) superstrate resonator antenna design for monopulse radiation pattern,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 27, no. 11, pp. 908-917, Nov. 2012.

S. D. Assimonis, T. M. Kollatou, T. V. Yioultsis, and C. S. Antonopoulos, “Absorbing surfaces using EBG structures,” IEEE Trans. Magn., vol. 50, no. 2, pp. 197-200, Feb. 2014.

M. Kim, “A compact EBG structure with wideband power/ground noise suppression using meander-perforated plane,” IEEE Trans. Electromag. Compat., vol. 57, no. 3, pp. 595-598,Jun. 2015.

N Yang, Z. N. Chen, Y. Y. Wang, and M. Y. W. Chia. “A two-layer compact electromagnetic bandgap (EBG) structure and its applications in microstrip filter design,” Microw. Opt. Technol. Lett., vol. 37, no. 1, pp. 62-64, Apr. 2003.

M. Y. Koledintseva, S. Radu, and J. Nuebel, “EBG common-mode 20-GHz microstrip and stripline filters: sensitivity to design parameters,” IEEE Trans. Electromag. Compat., vol. 62, no. 5, pp. 1989-2001, Oct. 2020.

J. Y. Lee, S. H. Kim, and J. H. Jang, “Reduction of mutual coupling in planar multiple antenna by using 1-D EBG and SRR structures,” IEEE Trans. Antennas Propag., vol. 63, no. 9, pp. 4194-4198, Sep. 2015.

H. H. Park, “Reduction of electromagnetic noise coupling to antennas in metal-framed smartphones using ferrite sheets and multi-via EBG structures,” IEEE Trans. Electromag. Compat., vol. 60, no. 2, pp. 394-401, Apr. 2018.

P. Bora, P. Pardhasaradhi, and B. Madhav. “Design and analysis of EBG antenna for Wi-Fi, LTE, and WLAN applications,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 35, no. 9, pp. 1030-1036, Sep. 2020.

W. Q. Cao, B. N. Zhang, A. J. Liu, T. B. Yu, D. S. Guo, and X. F. Pan, “Multi-frequency and dual-mode patch antenna based on electromagnetic band-gap (EBG) structure,” IEEE Trans. Antennas Propag., vol. 60, no. 12, pp. 6007-6012, Aug.2012.

L. Peng, C. L. Ruan, and J. Xiong, “Compact EBG for multi-band applications,” IEEE Trans. Antennas Propag., vol. 60, no. 9, pp. 4440-4444,Sep. 2012.

V. Radisic and Y. Qian, “Broad-band power amplifier using dielectric photonic bandgap structure,” IEEE Microw. Guided Wave Lett., vol. 8, no. 1, pp. 13-14, Jan. 1998.

Y. J. Lee, J. Yeo, R. Mittra, and W. S. Park, “Design of a high-directivity Electromagnetic band gap (EBG) resonator antenna using a frequency-selective surface (FSS) superstrate,” Microw. Opt. Technol. Lett., vol. 43, no. 6, pp. 462-467, Dec. 2004.

A. R. Weily, K. P. Esselle, T. S. Bird, and B. C. Sanders, “Linear array of woodpile EBG sectoral horn antennas,” IEEE Trans. Antennas Propag., vol. 54, no. 8, pp. 2263-2274, Aug. 2006.

Y. F. Mao, B. Chen, R. Xiong, Z. Cai, and Q. Chen, “A novel weakly conditionally stable FDTD method for periodic structures,” IEEE Antennas Wireless Propag. Lett., vol. 11, pp. 164-167, Feb. 2012.

F. Yang and Y. Rahmat-Samii, “Microstrip antennas integrated with electromagnetic band-gap (EBG) structures: a low mutual coupling design for array applications,” IEEE Trans. Antennas Propag., vol. 51, no. 10, pp. 2936-2946, Oct. 2003.

S. D. Assimonis, T. V. Yioultsis, and C. S. Antonopoulos, “Computational investigation and design of planar EBG structures for coupling reduction in antenna applications,” IEEE Trans. Magn., vol. 48, no. 2, pp. 771-774, Feb. 2012.

M. N. Vouvakis, Z. Cendes, and J. F. Lee, “A FEM domain decomposition method for photonic and electromagnetic band gap structures,” IEEE Trans. Antennas Propag., vol. 54, no. 2, pp. 721-733, Feb. 2006.

J. F. Lee, R. Lee, and A. Cangellaris, “Time-domain finite-element methods,” IEEE Trans. Antennas Propag., vol. 45, no. 3, pp. 430-442, Mar. 1997.

D. Jiao and J. M. Jin, “A general approach for the stability analysis of the time-domain finite-element method for electromagnetic simulations,” IEEE Trans. Antennas Propag., vol. 50, no. 11, pp. 1624-1632, Nov. 2002.

J. Yan and D. Jiao, “Fast explicit and unconditionally stable FDTD method for electromagnetic analysis,” IEEE Trans. Microw. Theory Tech., vol. 65, no. 8, pp. 2698-2710, Aug. 2017.

S. H. Zhao, B Wei, X. B. He, Y. W. Li, and X. L. Wei, “Hybrid FDTD algorithm for electromagnetic analysis of fine structures,” Results Phys., vol. 31, pp. 105017, Dec. 2021.

W. Lee and D. Jiao, “An alternative explicit and unconditionally stable time-domain finite-element method for electromagnetic analysis,” IEEE J. Multiscale Multiphys. Comput. Tech., vol. 3, pp. 16-28, Mar. 2018.

K. H. Fan, B. Wei, and X. B. He, “A subgridding unconditionally stable FETD method based on local eigenvalue solution,” IEEE Trans. Antennas Propag, vol. 69, no. 8, pp. 4695-4705, Aug.2021.

F. L. Teixeira, “Time-domain finite-difference and finite-element methods for Maxwell equations in complex media,” IEEE Trans. Antennas Propag., vol. 56, no. 8, pp. 2150-2166, Aug. 2008.

Downloads

Published

2022-09-30

How to Cite

[1]
Y. . Wang, B. . Wei, and K. . Fan, “Analysis of Transmission Characteristics of EBG Structures by Subgridding Unconditionally Stable FETD Method”, ACES Journal, vol. 37, no. 09, pp. 921–932, Sep. 2022.