扩展FDTD GVADE方法的非线性极化矢量以包含各向异性
Extending the FDTD GVADE method nonlinear polarization vector to include anisotropy
AI总结：
本文扩展FDTD GVADE方法的非线性极化矢量以包含各向异性，并在熔融石英和二硫化碳的二维横磁仿真中验证了其效果。
摘要：
本文中，时域有限差分广义矢量辅助微分方程方法[Greene, J. H. 和 A. Taflove, Opt. Express 14, 8305 (2006)]的非线性极化矢量，即单位体积的非线性电偶极矩，被扩展以包含各向异性，适用于光频段的非线性各向同性介质。文中给出了在三维笛卡尔坐标系中扩展该数值方法的理论，随后展示了两种各向同性介质的示例仿真结果。首先，针对2006年论文中引入的熔融石英示例，重新审视了简化的二维横磁情形，在仿真中包含了非线性极化矢量的各向异性部分；将包含极化矢量各向异性部分的仿真结果与纯各向同性极化矢量的仿真结果进行了比较。其次，在二硫化碳中模拟了简化的二维横磁示例，该介质具有由强分子重取向诱导的极化各向异性。
英文摘要：
In this paper the finite-difference time-domain general vector auxiliary differential equation method [Greene, J. H. and A. Taflove, Opt. Express 14, 8305 (2006)], nonlinear polarization vector, the nonlinear electric dipole moment per unit volume, is extended to include anisotropy, in nonlinear isotropic media at optical frequencies. The theory is presented for extending the numerical method in 3D Cartesian coordinates, and then example simulation results are presented for two isotropic media. First, the simplified 2D transverse magnetic case is revisited for the fused silica example introduced in the 2006 paper, including the anisotropic part of the nonlinear polarization vector in the simulation; the simulation results including the anisotropic part of the polarization vector were compared with the purely isotropic polarization vector simulation results. Second, a simplified 2D transverse magnetic example was simulated in carbon disulfide, with its strong molecular re-orientation induced polarization anisotropy.
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