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 for magnetized plasma
刘佳雨 1王向华 1邓浩亮1
作者信息
- 1. 天津职业技术师范大学理学院,天津 300222
- 折叠
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 fi-nite-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.
Abstract
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 sta-bility.The experimental results indicate that the reflection and transmission coefficients are in good agreement with the theo-retical values.Compared to the conventional FDTD method,the proposed method can simulate plasma photonic crystals ef-ficiently 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Key words
alternating-direction-implicit finite-difference time-domain(ADI-FDTD)/magnetized plasma/pho-tonic crystals/bandgap periodicity引用本文复制引用
出版年
2024