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A novel UPML FDTD absorbing boundary condition for dispersive media

机译:一种新的UPML FDTD分散介质吸收边界条件

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The dispersion relation and the reflectionless condition are obtained by Maxwell's curl equations in a uniaxial anisotropic medium and the phase-matching principle. On the basis of the shift operator finite difference time domain (SO-FDTD) method and the transform relation from the frequency domain to the time domain (j replaced by [image omitted]), an FDTD absorbing boundary condition available for three types of general dispersive medium models, i.e. Debye model, Lorentz model and Drude model, is given. Numerical results show that the presented scheme has good absorbing performance (the relative error is less than 10-3) for three typical dispersive models. This illustrates the generality and the high effectiveness of the presented scheme.
机译:通过单轴各向异性介质中的麦克斯韦卷曲方程和相位匹配原理,获得了色散关系和无反射条件。基于移位算子时域有限差分法(SO-FDTD)和从频域到时域的变换关系(j由[图像省略]代替),FDTD吸收边界条件可用于三种通用给出了离散介质模型,即德拜模型,洛伦兹模型和德鲁模型。数值结果表明,对于三种典型的色散模型,该方案具有良好的吸收性能(相对误差小于10-3)。这说明了所提出方案的普遍性和高效性。

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