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1.	Angermann, Lutz, et al. (author) Eigenmodes of linearised problems of scattering and generation of oscillations on cubically polarisable layers 2015 In: Inverse Problems and Applications. - Cham : Springer-Verlag New York. - 9783319124988 - 9783319124995 ; , s. 67-80 Conference paper (peer-reviewed)abstract In the frequency domain, the resonant properties of nonlinear structures are determined by the proximity of the scattering/generation frequencies of the nonlinear structures to the complex eigenfrequencies of the corresponding homogeneous linear spectral problems with the induced nonlinear permeability of the medium. Here the case of cubically polarisable, canalising, and decanalising layers is considered.
2.	Angermann, Lutz, et al. (author) Mathematical models for scattering and generation of plane wave packets on layered cubically polarisable structures 2013 In: Far East Journal of Applied Mathematics. - 0972-0960. ; 81:1-2, s. 1-31 Journal article (peer-reviewed)abstract The paper deals with different formulations of mathematical models for the analysis of processes of resonance scattering and generation of plane wave packets on isotropic, nonmagnetic, linearly polarised media with a nonlinear, layered dielectric structure of cubic polarisability. For each formulation, sufficient conditions for the existence and, partially, uniqueness of the corresponding solution are derived.

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Author/Editor: Angermann, Lutz (2); Shestopalov, Yury V. ... (1); Yatsyk, Vasyl V. (1); Shestopalov, Yury V. (1); Yatsyk, Vasyl (1)

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