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

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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

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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.

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References(11)

References

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