类Kerr非线性介质层对强电磁波场的共振散射及数值模拟
The Numerical Simulations and Resonant Scattering of Intensive Electromagnetic Fields of Waves by Dielectric Layer with Kerr-Like Nonlinearity
摘要：
以一个开放的非线性电动力学系统--横向非均匀、各向同性、双折射、线极化、非线性（类克尔介质非线性）介质层为例，给出了平面波在非线性物体上衍射问题的求解算法和非线性问题的数值分析结果。非线性绕射问题在迭代格式的基础上，将第二类非齐次非线性方程组的解约化。给出了平面波在非线性物体上衍射问题的数值分析结果。效果：发现非线性介质层衍射特性的谐振频率的不均匀偏移;非线性介质层的透射角随场强的增加而增加。
英文摘要：
On an example of the open nonlinear electrodynamic system - transverse non-homogeneous, isotropic, nonmagnetic, linearly polarized, nonlinear (a Kerr-like dielectric nonlinearity) dielectric layer, the algorithms of solution of the diffraction problem of a plane wave on the nonlinear object and the results of the numerical analysis of the nonlinear problem are shown. The nonlinear diffraction problem reduced the solutions of the systems of the non-homogeneous nonlinear equations of the second kind on the base of the iterative schemes. The results of the numerical analysis of the diffraction problem of a plane wave on the nonlinear object are shown. The effects: non-uniform shift of resonant frequency of the diffraction characteristics of a nonlinear dielectric layer; increase of the angle of the transparency of the nonlinear layer at growth of intensity of the field are found out.
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