The Numerical Simulations and Resonant Scattering of Intensive   Electromagnetic Fields of Waves by Dielectric Layer with Kerr-Like   Nonlinearity
  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. 
V. V. Yatsyk