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A novel perfectly matched layer method for an unconditionally stable ADI-FDTD method

机译:无条件稳定的ADI-FDTD方法的一种新型完美匹配的层方法

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Recently an unconditionally stable ADI method was successfully applied to the solution of Maxwells equations using a variation of the FDTD method [1, 2]. The ADI method is most useful for solving problems where the lattice is grossly over discretized spatially (< 1O{sup}-2 λ{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 thin paper, an absorbing boundary condition using a perfectly matched layer (PML) is introduced. Specifically, the convolutional PML (CPML) method [3] is used with complex frequency shifted scaling coefficients [4]. 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 [5].
机译:最近,使用FDTD方法的变化成功地应用于MaxWells方程的解决方案的无条件稳定的ADI方法[1,2]。 ADI方法对于解决晶格在空间(<1O {SUP} -2λ××}分钟)上被离散地粗地相传的问题最有用。对于该方案,适用于分析实际电磁相互作用问题,必须导出保持无条件稳定性的有效吸收边界条件。在薄纸中,引入了使用完美匹配的层(PML)的吸收边界条件。具体地,卷积PML(CPML)方法[3]与复频移位缩放系数[4]一起使用。结果表明,该方法保持无条件稳定性。此外,与最初提议的分流PML ADI方案[5]相比,该方法提供了反射误差的显着改善。

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