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Resonant Scattering and Generation of WavesSpectral Analysis

Resonant Scattering and Generation of Waves: Spectral Analysis [It is well known from both the theory and experiments that the scattering and generation characteristics of dielectric structures depend on the relation of the frequencies of excitation to certain problem-inherent (spectral) frequencies. Therefore it is important to be able to estimate or to compute (at least approximately) such problem-inherent parameters. A typical approach is to convert the nonlinear problem under consideration into a linear problem by means of appropriate linearization arguments and then to investigate the resulting linear problems. For instance, in the case of small amplitudes of the incident field, the neglect of nonlinear terms leads to a linear operator equation which can be analyzed spectrally. Here we will make use of a more sophisticated approach which is also related in a rather natural way to the problem to solve the system of Hammerstein integral equations (3.17).] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Resonant Scattering and Generation of WavesSpectral Analysis

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References (2)

Publisher
Springer International Publishing
Copyright
© Springer International Publishing AG, part of Springer Nature 2019
ISBN
978-3-319-96300-6
Pages
77 –100
DOI
10.1007/978-3-319-96301-3_4
Publisher site
See Chapter on Publisher Site

Abstract

[It is well known from both the theory and experiments that the scattering and generation characteristics of dielectric structures depend on the relation of the frequencies of excitation to certain problem-inherent (spectral) frequencies. Therefore it is important to be able to estimate or to compute (at least approximately) such problem-inherent parameters. A typical approach is to convert the nonlinear problem under consideration into a linear problem by means of appropriate linearization arguments and then to investigate the resulting linear problems. For instance, in the case of small amplitudes of the incident field, the neglect of nonlinear terms leads to a linear operator equation which can be analyzed spectrally. Here we will make use of a more sophisticated approach which is also related in a rather natural way to the problem to solve the system of Hammerstein integral equations (3.17).]

Published: Jul 27, 2018

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