Stability study of the modified HIE-FDTD method for modeling graphene as a surface boundary condition

被引:0
作者
Moharrami, Fatemeh [1 ]
Atlasbaf, Zahra [1 ]
机构
[1] Tarbiat Modares Univ, Elect Engn Dept, Tehran, Iran
关键词
Stability analysis; surface boundary condition (SBC); graphene modeling; hybrid implicit-explicit finite-difference time-domain (HIE-FDTD); amplification matrix; TIME-DOMAIN METHOD; SCHEME; ABSORBER;
D O I
10.1080/17455030.2022.2051770
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An impressive approach to model graphene in the finite-difference time-domain (FDTD) method is using a surface boundary condition (SBC). In our previous work, a method for modeling graphene as an SBC in the hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) was extracted. In this paper, the impact of applying an SBC on the stability of the HIE-FDTD method is numerically analyzed using an amplification matrix method. We show that the application of the SBC does not degrade the stability of the original HIE-FDTD algorithm.
引用
收藏
页数:10
相关论文
共 20 条
[1]   A three-dimensional semi-implicit FDTD scheme for calculation of shielding effectiveness of enclosure with thin slots [J].
Chen, Juan ;
Wang, Jianguo .
IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, 2007, 49 (02) :354-360
[2]   A 3D hybrid implicit-explicit FDTD scheme with weakly conditional stability [J].
Chen, Juan ;
Wang, Jianguo .
MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2006, 48 (11) :2291-2294
[3]   A review of hybrid implicit explicit finite difference time domain method [J].
Chen, Juan .
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 363 :256-267
[4]   Designing Graphene-Based Absorber by Using HIE-FDTD Method [J].
Chen, Juan ;
Li, Jianxing ;
Liu, Qing Huo .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2017, 65 (04) :1896-1902
[5]   Three-dimensional dispersive hybrid implicit-explicit finite-difference time-domain method for simulations of graphene [J].
Chen, Juan ;
Wang, Jianguo .
COMPUTER PHYSICS COMMUNICATIONS, 2016, 207 :211-216
[6]   Using Dispersion HIE-FDTD Method to Simulate the Graphene-Based Polarizer [J].
Chen, Juan ;
Xu, Ning ;
Zhang, Anxue ;
Guo, Jinying .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2016, 64 (07) :3011-3017
[7]   Simple Intuitive Relations Concerning the Effect of Boundaries on the Stability of the FDTD Method [J].
Hosseini, Keyhan ;
Atlasbaf, Zahra .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2018, 66 (12) :7483-7487
[8]   A hybrid implicit-explicit FDTD scheme with weakly conditional stability [J].
Huang, BK ;
Wang, G ;
Jiang, YS ;
Wang, WB .
MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2003, 39 (02) :97-101
[9]   Stability Analysis of the SBC Modeling of Graphene in the FDTD Method [J].
Moharrami, F. ;
Atlasbaf, Z. .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2021, 69 (04) :2421-2426
[10]   Simulation of Multilayer Graphene-Dielectric Metamaterial by Implementing SBC Model of Graphene in the HIE-FDTD Method [J].
Moharrami, Fatemeh ;
Atlasbaf, Zahra .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2020, 68 (03) :2238-2245