The numerical analysis of the multifunctional process of scattering and generation of oscillations by nonlinear layered media


  • L. Angermann University of Technology at Clausthal, Germany
  • V. V. Yatsyk O.Ya. Usikov Institute for Radiophysics and Electronics NASU, Ukraine



self-consistent analysis, cubically polarizable medium, resonant scattering, generation


Nonlinear dielectrics with controllable permittivity are subject of intense studies and begin to find broad applications in device technology and electronics, where both the radio and optical frequency ranges are of interest. We develop a model of resonance scattering and generation of waves on an isotropic nonmagnetic nonlinear layered dielectric structure excited by packets of plane waves in the resonance frequency range in a self-consistent formulation.


ANGERMANN, L.; YATSYK, V.V. Scattering and Generation Properties on a Nonlinear Layer and Eigen-Modes of the Linearized Problems. Proc. of Mult. Mod. and Mat. Prop. 16th Sem. Comp. Mod. in Mic. Pow. Eng, 2014, p.42-46.

ANGERMANN, L.; YATSYK, V.V.; CROATIA, RIJEKA; ANGERMANN, L. Numerical Simulations - Applications, Examples and Theory. Rijeka: InTech, 2011, p.175-212, doi:

ANGERMANN, L.; YATSYK, V.V. The Influence of Weak Fields at Multiple Frequencies on the Process of Resonant Scattering and Generation of Oscillations by Nonlinear Layered Structures. Phys. Bases of Instrumentation, 2013, v.2, n.1, p.48-71.

KLEINMAN, D.A. Nonlinear Dielectric Polarization in Optical Media. Phys. Rev, 1962, v.126, p.1977-1979, doi:

MILOSLAVCKY, B.K.; KARAZIN, V.N. Nonlinear Optics. Kharkiv: KSU, 2008.

SHESTOPALOV, V.P.; SIRENKO, Y.K. Dynamic Theory of Gratings. Kiev: Naukova Dumka, 1989.