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由单轴各向异性介质所满足的场方程出发,并根据相位匹配原理以得到介质中的色散关系和无反射条件.结合频域到时域的转换关系(即用/t代替jω)和移位算子时域有限差分(SO-FDTD)方法提出了一种适用于各向同性常见色散介质模型,包括德拜模型、洛伦兹模型、德鲁德模型等的通用UPML吸收边界.数值结果表明了该算法的通用性和高效性.
Based on the field equations satisfied by the uniaxial anisotropic medium and according to the principle of phase matching, the dispersion relation and the non-reflection condition in the medium are obtained.Combined with the conversion relation between frequency and time domain (that is, jω is replaced by / t) And shift operator finite difference time-domain (SO-FDTD) method, a universal UPML absorbing boundary suitable for the isotropic common dispersion media model, including Debye model, Lorentz model and Drude model, is proposed. The numerical results show the generality and efficiency of the algorithm.