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一种适用于任意阶空间差分时域有限差分方法的色散介质通用吸收边界条件算法
An absorbing boundary condition for general dispersive medium and general FDTD spatial scheme
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摘要: 基于伸展坐标完全匹配层方程和辅助微分方程方法,给出了一种在时域有限差分（FDTD）计算中适用于常见色散介质的通用边界条件算法.该算法适用于任意阶的FDTD空间差分,并且由于所采用的D-H方程独立于计算区域,所以可以被用于截断任意电介质.数值试验结果表明,与卷积完全匹配层算法相比较,所提出的吸收边界条件算法不仅通用性强、计算复杂度低、计算时间短,并且吸收效果有明显的提高.Abstract: Based on the stretched coordinate perfectly matched layer（SC-PML） formulation and the auxiliary differential equation method, an absorbing boundary condition for general dispersive medium is presented,and applied to both the standard finite difference time domain（FDTD） method and the high-order FDTD method.The proposed D-H formulations are completely independent of the material properties of the FDTD computational domain.Thus they can be directly applied to the simulations involving arbitrary dielectrics.Numerical results show that compared with the CPML,the proposed method is versatile,has an improved absorbing performance and low computational complexity,and can substantially reduce the computational time.
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