Preset Field Approximation and Self-consistent Analysis of the Scattering and Generation of Oscillations by a Layered Structure

Angermann, Lutz; Yatsyk, Vasyl V.; Yatsyk, M. V.

doi:10.1007/978-3-319-00660-4_4

Cited by 4 publications

(8 citation statements)

References 3 publications

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“…The desired solution of the scattering and generation problem (7), (C1)-(C4) (or of the equivalent problem (11)) are represented as in (8).…”

Section: Numerical Resultsmentioning

confidence: 99%

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Mathematical Models of Electrodynamical Processes of Wave Scattering and Generation on Cubically Polarisable Layers

Angermann

Yatsyk²

2013

PIER B

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Abstract-Results of a self-consistent computational analysis based on a mathematical model of resonance scattering and generation of waves on an isotropic nonmagnetic nonlinear layered dielectric structure excited by a packet of plane waves are presented, where the analysis is performed in the domain of resonance frequencies. Physically interesting properties of the nonlinear permittivities of the layers as well as their scattering and generation characteristics are obtained, for instance the characteristic dynamical behaviour of the relative Q-factor of the eigenmodes and the energy of higher harmonics generated by canalising as well as decanalising nonlinear layers. The results demonstrate the possibility to control the scattering and generating properties of a nonlinear structure by means of the excitation intensities.

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“…The desired solution of the scattering and generation problem (7), (C1)-(C4) (or of the equivalent problem (11)) are represented as in (8).…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In contrast to other techniques such as, e.g., the preset-field method, the self-consistent approach is characterized by the direct application of a numerical solver for nonlinear algebraic equation systems to (12). For a comparison of different possibilities to solve the system (12) the reader is referred to [8].…”

Section: Numerical Resultsmentioning

confidence: 99%

Mathematical Models of Electrodynamical Processes of Wave Scattering and Generation on Cubically Polarisable Layers

Angermann

Yatsyk²

2013

PIER B

Self Cite

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“…The present paper complements our previous works [11][12][13][14][15][16]. In the setting of a coupled system approach, a numerical investigation of the energy characteristics of the radiation of the third harmonic by a nonlinear layer is performed on the basis of a block-wise iterative scheme for the computational analysis of the resonance properties of wave radiation by a nonlinear layered object in the vicinity of the eigenvalues of induced eigenvalue problems.…”

Section: Introductionmentioning

confidence: 87%

“…The quantities {Φnκ} 3 n=1 at the multiple frequencies nκ are coupled by the condition of phase synchronism of the waves, see Figure 1 and [12][13][14][15]:…”

Section: The Mathematical Modelmentioning

confidence: 99%

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Energy characteristics of a nonlinear layer at resonant frequencies of wave scattering and generation

Angermann

Yatsyk

2019

Open Physics

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This work presents a mathematical model, a computational scheme and experimental results describing the electrodynamic characteristics of a nonmagnetic, isotropic, E-polarized, nonlinear layered dielectric object with a cubically polarizable medium. The nonlinear object is irradiated by a quasi-homogeneous field, where the incident field constitutes of a packet of phase-synchronized plane oscillations. In the case under consideration the excitation may consist both of a highly intense electromagnetic field at a basic (fundamental) frequency, which results in the generation of the third harmonic, as well as of weakly intense fields at multiples of the basic frequency which produce no harmonics, but only have an influencing effect on the processes of wave radiation. The investigations were carried out within the setting of a coupled system approach at resonant excitation frequencies determined by the eigenvalues of the induced eigenvalue problems. A verification of the energy balance law is carried out. By means of estimations for the conditionalities of the occuring matrices, the level of degeneration of the induced non-self-adjoint spectral problems as well as the sensitivity of the coupled system of nonlinear boundary value problems with respect to computational errors are verified.

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The multifunctional process of resonance scattering and generation of oscillations by nonlinear layered structures

Angermann

Yatsyk

2016

Cogent Physics

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Preset Field Approximation and Self-consistent Analysis of the Scattering and Generation of Oscillations by a Layered Structure

Cited by 4 publications

References 3 publications

Mathematical Models of Electrodynamical Processes of Wave Scattering and Generation on Cubically Polarisable Layers

Mathematical Models of Electrodynamical Processes of Wave Scattering and Generation on Cubically Polarisable Layers

Energy characteristics of a nonlinear layer at resonant frequencies of wave scattering and generation

The multifunctional process of resonance scattering and generation of oscillations by nonlinear layered structures

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