Recently an unconditionally stable ADI method was successfully applied to the solution of Maxwell's equations using a variation of the FDTD method. The ADI method is most useful for solving problems where the lattice is grossly over discretized spatially (> 10/sup -2//spl lambda//sub min/). For this scheme to be applicable to analyzing practical electromagnetic interaction problems, an efficient absorbing boundary condition that maintains unconditional stability must be derived. In this paper, an absorbing boundary condition using a perfectly matched layer (PML) is introduced. Specifically, the convolutional PML (CPML) method is used with complex frequency shifted scaling coefficients. It is shown that this method maintains unconditional stability. Further, it is demonstrated that the method provides a significant improvement in the reflection error as compared to the originally proposed split-field PML ADI scheme.
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机译：最近，使用FDTD方法的变体，无条件稳定的ADI方法成功地应用于了麦克斯韦方程组的求解。 ADI方法对于解决晶格在空间上完全离散化（> 10 / sup -2 // spl lambda // sub min /）的问题最有用。为了使该方案可用于分析实际的电磁相互作用问题，必须得出保持无条件稳定性的有效吸收边界条件。本文介绍了使用完全匹配层（PML）的吸收边界条件。具体而言，卷积PML（CPML）方法与复杂的频移缩放系数一起使用。结果表明，该方法保持了无条件的稳定性。此外，证明了与最初提出的分裂场PML ADI方案相比，该方法在反射误差方面提供了显着的改善。
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