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Iteratively Regularized Gauss-Newton Methods under Random Noise Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Eigenmodes of Linearised Problems of Scattering and Generation of Oscillations on Cubically Polarisable Layers

Authors : Lutz Angermann, Yuri V. Shestopalov, Vasyl V. Yatsyk

Published in: Inverse Problems and Applications

Publisher: Springer International Publishing

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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.

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previous chapter Determination of Permittivity from Propagation Constant Measurements in Optical Fibers
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Literature
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Angermann, L., Yatsyk V.V.: Mathematical models of the analysis of processes of resonance scattering and generation of the third harmonic by the diffraction of a plane wave through a layered, cubically polarisable structure. Int. J. Electromagn. Waves Electron. Syst. 15(1):36–49, (2010). In Russian.
2.
Angermann, L., Yatsyk, V.V.: Generation and resonance scattering of waves on cubically polarisable layered structures. In Angermann, L. (eds.) Numerical Simulations—Applications, Examples and Theory, pp. 175–212. InTech, Rijeka, (2011).
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Angermann, L., Yatsyk, V.V.: Resonance properties of scattering and generation of waves on cubically polarisable dielectric layers. In V. Zhurbenko (eds.) Electromagnetic Waves, pp. 299–340. InTech, Rijeka, (2011).
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Angermann, L., Yatsyk, V.V.: The effect of weak fields at multiple frequencies on the scattering and generation of waves by nonlinear layered media. In Kishk, A. (eds.) Solutions and Applications of Scattering, Propagation, Radiation and Emission of Electromagnetic Waves, pp. 303–332 (307–336 electronic). InTech, Rijeka, (2012)
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Yatsyk, V.V.: A constructive approach to construction of local equations of irregular dispersion and evolution of fields in a quasi-homogeneous electrodynamic structure. Usp. Sovr. Radioelektroniki, 10:27–44, 2000. (Translated in) Telecommun. Radio Eng. 56(8&9): 89–113, (2001).
Metadata
Title
Eigenmodes of Linearised Problems of Scattering and Generation of Oscillations on Cubically Polarisable Layers
Authors
Lutz Angermann
Yuri V. Shestopalov
Vasyl V. Yatsyk
Copyright Year
2015
Book
Inverse Problems and Applications

Print ISBN: 978-3-319-12498-8

Electronic ISBN: 978-3-319-12499-5

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-12499-5_5

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