一种具有CFS PML的高阶空间FDTD方案用于冷等离子体中波传播的三维数值模拟
A higher-order spatial FDTD scheme with CFS PML for 3D numerical simulation of wave propagation in cold plasma
AI总结：
本文提出一种新的三维高阶有限差分时域框架，利用复频率移位完美匹配层模拟冷等离子体中的波传播。采用二阶和四阶空间近似离散麦克斯韦旋度方程，并引入单轴完美匹配层以终止计算域。通过数值色散研究分析了二阶和高阶技术的稳定性准则，并通过解析解验证了所提方法的准确性和高阶方案的低色散误差。
摘要：
本文提出了一种新的三维高阶有限差分时域框架，利用复频率移位完美匹配层（CFS PML）来模拟冷等离子体中的波传播。第二阶和第四阶空间近似用于离散麦克斯韦旋度方程，引入单轴完美匹配层以终止计算域。详细阐述了二阶和高阶技术的数值色散研究，并提取了每种方案的稳定性准则。与解析解的比较验证了所提方法的准确性和高阶方案的低色散误差。
英文摘要：
A novel 3-D higher-order finite-difference time-domain framework with complex frequency-shifted perfectly matched layer for the modeling of wave propagation in cold plasma is presented. Second- and fourth-order spatial approximations are used to discretize Maxwell's curl equations and a uniaxial perfectly matched layer with the complex frequency-shifted equations is introduced to terminate the computational domain. A numerical dispersion study of second- and higher-order techniques is elaborated and their stability criteria are extracted for each scheme. Comparisons with analytical solutions verify the accuracy of the proposed methods and the low dispersion error of the higher-order schemes.
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