Eigen-modes of the linearized problems of scattering and generation of waves on non-linear layer

The problem of scattering and generation of waves on an isotropic, non-magnetic, linearly E-polarised, non-linear, layered, cubically polarisable, dielectric structure, which is excited by a plane wave, is investigated in the domain of resonance frequencies. The analytical continuation of these linear problems into the region of complex values of the frequency parameter allows us to switch to the analysis of spectral problems. Results of the numerical investigation of the problem are presented.