Unconditionally stable auxiliary differential equation Crank-Nicolson-approximate-decoupling FDTD algorithm for 2-D anisotropic magnetized plasma

Li Jianxiong; Zhuang Yongjia; Li Xianguo

doi:10.11884/HPLPB201830.170269

Volume 30 Issue 1

Jan. 2018

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > High Power Laser and Particle Beams > 2018 > 30(1): 012001

Li Jianxiong, Zhuang Yongjia, Li Xianguo. Unconditionally stable auxiliary differential equation Crank-Nicolson-approximate-decoupling FDTD algorithm for 2-D anisotropic magnetized plasma[J]. High Power Laser and Particle Beams, 2018, 30: 012001. doi: 10.11884/HPLPB201830.170269

Citation:

Li Jianxiong, Zhuang Yongjia, Li Xianguo. Unconditionally stable auxiliary differential equation Crank-Nicolson-approximate-decoupling FDTD algorithm for 2-D anisotropic magnetized plasma[J]. High Power Laser and Particle Beams, 2018, 30: 012001. doi: 10.11884/HPLPB201830.170269

Citation:

Li Jianxiong, Zhuang Yongjia, Li Xianguo. Unconditionally stable auxiliary differential equation Crank-Nicolson-approximate-decoupling FDTD algorithm for 2-D anisotropic magnetized plasma[J]. High Power Laser and Particle Beams, 2018, 30: 012001. doi: 10.11884/HPLPB201830.170269

PDF( 1088 KB)

Unconditionally stable auxiliary differential equation Crank-Nicolson-approximate-decoupling FDTD algorithm for 2-D anisotropic magnetized plasma

doi: 10.11884/HPLPB201830.170269

Li Jianxiong^{1, 2
,},
Zhuang Yongjia^{1, 2},
Li Xianguo^{1, 2
,
,}

1.
School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China
2.
Tianjin Key Laboratory of Optoelectronic Detection Technology and Systems, Tianjin 300387, China

Received Date: 2017-06-29
Rev Recd Date: 2017-09-22
Publish Date: 2018-01-15

Abstract

Abstract

An effective unconditionally stable implementation of the auxiliary differential equation Crank-Nicolson-approximate-decoupling finite-difference time-domain (ADE-CNAD-FDTD) algorithm for 2-D anisotropic magnetized plasma is proposed. The conventional ADE-FDTD method for 1-D anisotropic dispersive media has high efficiency and accuracy. This paper extends this method to 2-D anisotropic magnetized plasma with the CNAD scheme. The proposed formulations not only solves the problem that incorporates both anisotropy and frequency dispersion at the same time, but also eliminates the Courant-Friedrich-Levy (CFL) stability constraint. A numerical example has been carried out to validate the proposed formulations in the 2-D FDTD domain composed of anisotropic magnetized plasma. The results prove that the proposed formulations significantly save time and perform stably with acceptable accuracy.

FullText(HTML)

References(11)

References

[1]	Luebbers R J, Hunsberger F, Kunz K S. A frequency dependent time domain formulation for transient propagation in plasma[J]. IEEE Trans Antennas and Propagation, 1991, 39(1): 29-34. doi: 10.1109/8.64431
[2]	刘少斌, 莫锦军, 袁乃昌. 各向异性磁等离子体的辅助方程FDTD方法[J]. 物理学报, 2004, 53(7): 2233-2236. doi: 10.3321/j.issn:1000-3290.2004.07.040 Liu Shaobin, Mo Jinjun, Yuan Naichang. An auxiliary differential equation FDTD method for anisotropic magnetized plasma. Acta Physica Sinica, 2004, 53(7): 2233-2236 doi: 10.3321/j.issn:1000-3290.2004.07.040
[3]	Xu L J, Yuan N C. JEC-FDTD for 2-D conducting cylinder coated by anisotropic magnetized plasma[J]. IEEE Microwave and Wireless Components Letters, 2005, 15(12): 892-894. doi: 10.1109/LMWC.2005.859970
[4]	Liu S, Zhong S, Liu S B. Piecewise linear recursive convolution FDTD method for magnetized plasmas[J]. Journal of Systems Engineering and Electronics, 2006, 17(2): 290-295. doi: 10.1016/S1004-4132(06)60050-9
[5]	杨宏伟, 袁洪, 陈如山, 等. 各向异性磁化等离子体的SO-FDTD方法[J]. 物理学报, 2007, 56(3): 1443-1446. doi: 10.3321/j.issn:1000-3290.2007.03.034 Yang Hongwei, Yuan Hong, Chen Rushan, et al. SO-FDTD analysis of anisotropic magnetized plasma. Acta Physica Sinica, 2007, 56(3): 1443-1446 doi: 10.3321/j.issn:1000-3290.2007.03.034
[6]	Taflove A, Hagness S C. Computational electrodynamics: The finite-difference time-domain method[M]. 3rd ed. Boston: Artech House, 2005.
[7]	Namiki T. A new FDTD algorithm based on alternating-direction implicit method[J]. IEEE Trans Microwave Theory and Techniques, 1999, 47(10): 2003-2007. doi: 10.1109/22.795075
[8]	Sun G, Trueman C W. Unconditionally stable Crank-Nicolson scheme for solving two-dimensional Maxwell's equations[J]. Electronics Letters, 2003, 39(7): 595-597. doi: 10.1049/el:20030416
[9]	Lee J, Fornberg B. A split step approach for the 3-D Maxwell's equations[J]. Journal of Computational and Applied Mathematics, 2003, 158(2): 485-505. doi: 10.1016/S0377-0427(03)00484-9
[10]	Shibayama J, Muraki M. Efficient implicit FDTD algorithm based on locally one-dimensional scheme[J]. Electronics Letters, 2005, 41(19): 1046-1047. doi: 10.1049/el:20052381
[11]	Sun G, Trueman C W. Approximate Crank-Nicolson schemes for the 2-D finite-difference time-domain method for TEz waves[J]. IEEE Trans Antennas and Propagation, 2004, 52(11): 2963-2972. doi: 10.1109/TAP.2004.835142

Relative Articles

[1]	Wang Xutong, Zhou Hui, Ma Liang, Cheng Yinhui, Li Jinxi, Liu Yifei, Zhao Mo, Guo Jinghai, Wang Wenbing. High-precision Runge-Kutta method for transmission line equation[J]. High Power Laser and Particle Beams, 2020, 32(3): 033202. doi: 10.11884/HPLPB202032.190402
[2]	Gong Yanfei, Hao Jianhong, Jiang Luxing. A time-domain method for the electromagnetic transient response of multiconductor transmission lines excited by the electromagnetic pulse[J]. High Power Laser and Particle Beams, 2019, 31(8): 083202. doi: 10.11884/HPLPB201931.180378
[3]	Wang Wenbing, Zhou Hui, Ma Liang, Cheng Yinhui, Liu Yifei, Guo Jinghai, Zhao Mo. Stability analysis and improvement of conformal leapfrog alternating direction implicit finite-difference time-domain method[J]. High Power Laser and Particle Beams, 2018, 30(7): 073205. doi: 10.11884/HPLPB201830.170475
[4]	Meng Xuesong, Bao Xianfeng, Liu Deyun, Zhou Haijing. Embedded thin film model in finite difference time domain method[J]. High Power Laser and Particle Beams, 2017, 29(12): 123203. doi: 10.11884/HPLPB201729.170196
[5]	Zhu Xiangqin, Wang Jianguo, Chen Weiqing, Chen Zaigao, Cai Libing. Method of fast estimating radiation near-field of flat-plate bounded wave electromagnetic pulse simulator with vertical polarization[J]. High Power Laser and Particle Beams, 2014, 26(11): 115005. doi: 10.11884/HPLPB201426.115005
[6]	Liu Zongxin, Chen Yiwang, Xu Xin, Liu Yawen, Sun Xuegang, Zhang Shudi. Weakly conditionally stable 3-D FDTD method for periodic structures[J]. High Power Laser and Particle Beams, 2012, 24(11): 2687-2692. doi: 10.3788/HPLPB20122411.2687
[7]	yang lixia, wang yijun, xie yingtao, wang gang. Modified uniaxial perfectly matched layer absorbing boundary condition for anisotropic dispersion media[J]. High Power Laser and Particle Beams, 2011, 23(01): 0- .
[8]	wang shuo, shao zhen-hai, wen guang-jun, li shi-gui, xie kang. A new high order FDTD method based on wave equations[J]. High Power Laser and Particle Beams, 2007, 19(12): 0- .
[9]	wang jian-guo, tian chun-ming, xia hong-fu, ge de-biao. Numerical simulation of combined-oscillator antenna array[J]. High Power Laser and Particle Beams, 2006, 18(07): 0- .
[10]	zhou ying-hui, shi li-hua, gao cheng. A time-domain method to calculate EMP coupling of buried cables based on transmission line model[J]. High Power Laser and Particle Beams, 2006, 18(07): 0- .
[11]	wang yue, wang jian-guo, zhang dian-hui. Truncation of open boundary of 3D rectangular waveguide by CPML[J]. High Power Laser and Particle Beams, 2005, 17(10): 0- .
[12]	gao chun-xia, chen yu-sheng, wang liang-hou. Application of CPML to two-dimension numerical simulation of nuclear electromagnetic pulse from air explosions[J]. High Power Laser and Particle Beams, 2005, 17(07): 0- .
[13]	wang jian-guo, tian chun-ming, xia hong-fu, ge de-biao, . Numerical simulations on radiation properties of combined-oscillator antenna[J]. High Power Laser and Particle Beams, 2005, 17(04): 0- .
[14]	huang shou jiang, li fang. Time domain analysis of electromagnetic pulse propagation in magnetized plasma using Z transforms[J]. High Power Laser and Particle Beams, 2005, 17(01): 0- .
[15]	tian chun-ming, wang jian-guo, chen yu-sheng, ge de-biao. Near-field characteristics of radiating-wave simulator antenna based on TEM horn[J]. High Power Laser and Particle Beams, 2004, 16(05): 0- .
[16]	chen hai lin, chen bin, li zheng dong, yi yun, lu feng. Simulation of different electromagnetic pulse coupling to the finite cable near ground[J]. High Power Laser and Particle Beams, 2004, 16(10): 0- .
[17]	wang jian guo, liu guo zhi, zhou jin shan. Investigations on function for linear coupling of microwaves into slots[J]. High Power Laser and Particle Beams, 2003, 15(11): 0- .
[20]	liu shunkun, 1 fu junmei, cheng yusheng, 1 wang wenbing, z hou hui. NUMERICAL SIMULATION OF EMP EFFECTS ON BOOST FLYER[J]. High Power Laser and Particle Beams, 1999, 11(01): 0- .