A general finite difference time domain method for hybrid dispersive media model
A general finite difference time domain method for hybrid dispersive media model
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DOI：
10.1080/17455030.2011.557405
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发表时间：
2010-12
期刊：
影响因子：
--
通讯作者：
Bing Wei;Yun Zhou;D. Ge;Lixin Guo
中科院分区：
文献类型：
--
作者：
Bing Wei;Yun Zhou;D. Ge;Lixin Guo
提出了一种处理混合色散介质模型的位移算子时域有限差分（SO-FDTD）方法。首先证明了混合色散介质模型的复介电常数可以用jω中的有理多项式分式来描述。然后，通过引入定义为移位算子的zt，在时域中导出D与E之间的关系。得到了时域离散本构关系和可用于FDTD计算的D和E的递推公式。最后计算了一阶德拜和一阶洛仑兹混合色散平板的反射。计算结果与解析法所得结果吻合较好。
The shift operator finite difference time domain (SO-FDTD) method is developed to deal with hybrid dispersive media model. First, we have proved that the complex permittivity of hybrid dispersive media model may be described by rational polynomial fraction in jω. Then, by introducing zt defined as a shift operator, the relation between D and E is derived in time domain. The constitutive relation in discretized time domain and the recursive formulation for D and E available for FDTD computation are obtained. Finally, the reflection of an first order Debye and first order Lorentz hybrid dispersive slab is computed. The computed results are in good agreement with the one obtained by analytic method.