一维等离子体非分裂场PML吸收边界条件研究  

Novel PML absorbing boundary condition of magnetized plasma

作　　者：郑召文[1] 杨利霞[1,2] 蔡志超[1] 孔娃[1] 施卫东[2] 

机构地区：[1]江苏大学计算机科学与通信工程学院,江苏镇江212013 [2]江苏大学流体机械工程技术研究中心,江苏镇江212013

出　　处：《江苏大学学报（自然科学版）》2013年第2期156-160,共5页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(61072002);江苏省第八批次"六大人才高峰计划"项目(2011-DZXX-031);江苏省博士后基金资助项目(1201001A);江苏大学高级专业人才科研启动基金资助项目(11JDG054)

摘　　要：研究了一维截断磁化等离子体介质新型完全匹配层(NPML)吸收边界条件(ABC),根据磁化等离子体电磁散射理论公式,对麦克斯韦偏微分方程中对空间偏导的变量进行坐标拉伸,由于变量Jx和Jy在数学表述形式上不存在对空间的偏导,因此不需要对它们进行坐标变换,即Jx和Jy在等离子体和NPML中具有相同的表达式,计算及仿真结果表明:该吸收边界只把对空间偏导的变量进行坐标拉伸,操作简单,避免了PML方法在截断普通介质时采用的复杂的场分裂形式,同时比单轴各向异性完全匹配层(UPML)吸收边界截断磁化等离子体介质更加简单,编程复杂度大大降低.通过对一维算例进行仿真分析,计算结果与解析解相符,证实了该算法的有效性.The absorbing boundary condition （ABC） of the novel perfectly matched layer （NPML） of one-dimensional truncated magnetized plasma was investigated. According to the electromagnetic scattering theory formula of magnetized plasma, the space variables of partial derivatives in the Maxwell partial differential equation were stretched. Because there were no partial derivatives between variable Jx and Jy in mathematical expression, it was no need for coordinate transformation. The variables of Jx and Jy share the same expression in plasma and NPML. The simulation and calculation results show that the new scheme is less complex than conventional methods. Due to the stretched-scheme in coordinate system, the complex field splitting form is avoided for truncating ordinary media by PML method . The new scheme is much easier than the uniaxial anisotropy perfectly matched layer （UPML）. The one-dimensional simulation results are consistent with the analytical solution, which means the validity of the NPML ABC algorithm.

关 键 词：磁化等离子体 时域有限差分方法 完全匹配层吸收边界 分裂场 电磁散射 

分 类 号：O441[理学—电磁学]