磁化等离子体交替隐式时域有限差分法  

Alternating-direction-implicit finite difference time-domain method formagnetized plasma

作　　者：刘佳雨 王向华[1] 邓浩亮[1] LIU Jiayu;WANG Xianghua;DENG Haoliang(School of Science,Tianjin University of Technology and Education,Tianjin 300222,China)

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《天津职业技术师范大学学报》2024年第2期44-49,共6页Journal of Tianjin University of Technology and Education

基　　金：预研项目(61402090402)。

摘　　要：针对传统显式时域有限差分法仿真各向异性磁化等离子体时,时间步长会受到柯朗-费里德里希斯-列维(Courant-Friedrich-Levy,CFL)条件限制的问题,采用拓展的无条件稳定交替隐式时域有限差分方法(alternating-direction-implicit finite-difference time-domain,ADI-FDTD)对无限大磁化等离子体进行数值仿真。该方法在传统两步法基础上增加2个子时间步,同时仍保持无条件稳定的特性。实验结果表明:反射和透射系数与理论值吻合较好。与普通时域有限差分方法相比,该方法能够高效仿真等离子体光子晶体,并且具有较高的精度和无条件稳定的特性。When simulating anisotropic magnetized plasma using the traditional explicit finite-difference time-domain(FDTD)method in the time domain,the time step is often restricted by the Courant-Friedrich-Levy(CFL)condition.To address this issue,an extended unconditionally stable alternating-direction-implicit finite-difference time-domain(ADI-FDTD)method is utilized for numerical simulations of infinite magnetized plasma slab.Based on the traditional two sub-steps ADI-FDTD method,two extra sub-time steps are added in the provided method while maintaining unconditional stability.The experimental results indicate that the reflection and transmission coefficients are in good agreement with the theoretical values.Compared to the conventional FDTD method,the proposed method can simulate plasma photonic crystals efficiently with higher precision and unconditional stability.

关 键 词：交替隐式时域有限差分 磁化等离子体 光子晶体 禁带周期特性 

分 类 号：O53[理学—等离子体物理]