Linearizable and Nonlinearizable Solutions in the Nonlinear Eigenvalue Problem Arising in the Theory of Electrodynamic Waveguides Filled with a Nonlinear Medium

In this paper, we consider a nonlinear eigenvalue problem on a segment, which describes the propagation of monochromatic (polarized) electromagnetic TM waves in a planar dielectric waveguide filled with a nonlinear medium. Results on the solvability of the problem and properties of the eigenvalues a...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 275; no. 5; pp. 556 - 571
Main Authors Valovik, D. V., Tikhov, S. V.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.10.2023
Springer
Springer Nature B.V
Subjects
Dielectric waveguides
Eigenvalues
Mathematics
Mathematics and Statistics
Waveguides
nonlinear permittivity
planar dielectric waveguide
Maxwell’s equations
asymptotics of eigenvalues
35P30
35Q61
34L20
nonlinear eigenvalue problem
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Summary:In this paper, we consider a nonlinear eigenvalue problem on a segment, which describes the propagation of monochromatic (polarized) electromagnetic TM waves in a planar dielectric waveguide filled with a nonlinear medium. Results on the solvability of the problem and properties of the eigenvalues are obtained.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06697-3