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A study of some problems in the guided propagation of electromagnetic waves

2022
This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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Initial value problems of cylindrical electromagnetic waves propagation in a nonlinear nondispersive medium

Physical Review E, 2013
We introduce a simple method to estimate the accuracy of exact solutions under initial value conditions proposed by Petrov and Kudrin [Phys. Rev. Lett. 104, 190404 (2010)]. We demonstrate that even for a sufficiently weak nonlinearity, the initial value condition difference between linear and nonlinear case may be evident.
Si-Yun, Chen   +7 more
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On a Nonlinear Eigenvalue Problem Related to the Theory of Propagation of Electromagnetic Waves

Differential Equations, 2018
The eigenvalue problem is studied for a quasilinear second-order ordinary differential equation on a closed interval with Dirichlets boundary conditions (the corresponding linear problem has an infinite number of negative and no positive eigenvalues).
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Solution of the direct problem of electromagnetic waves propagation in foams

2016 XXIst International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2016
Model of water foam presented from 7 layers with different dielectric characteristics for thickness 5, 10 and 15 mm. Calculations were made in microwave band of 8–12 GHz. Layers have value of foaming ratio from 6 till 350. The results of reflection and transmission characteristics show dependence from thickness of layers in range of 5–15 mm.
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Operator Pencil Approach in an Electromagnetic Problem of Symmetric Wave Propagation in a Plane Shielded Waveguide

Lobachevskii Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martynova, V. Yu.   +3 more
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A Riemann–Hilbert Problem for Propagation of Electromagnetic Waves in an Inhomogeneous, Dispersive Ω Waveguide

Mathematical Physics, Analysis and Geometry, 2000
A class of new complex materials, called \(\Omega\) (omega) media, was introduced by \textit{M. M. I. Saadoun} and \textit{N. Engheta} [A reciprocal phase shifter using noval pseudochiral or \(\Omega\) medium, Microwave Opt. Tech. Lett. 5(4), 184-187 (1992)].
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On the problem of nonlinear coupled electromagnetic transverse-electric–transverse magnetic wave propagation

Journal of Mathematical Physics, 2013
Coupled electromagnetic TE and TM wave propagation in a nonlinear plane layer is considered. Nonlinearity inside the layer is described by Kerr law. Physical problem is reduced to a nonlinear two-parameter eigenvalue problem for a system of (nonlinear) ordinary differential equations.
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Effective Field Method in the Problem of Electromagnetic Wave Propagation Through a Medium With Isolated Inclusions

Journal of Electromagnetic Waves and Applications, 1997
Summary: Effective field method is applied for the calculation of the phase velocities and attenuation factors of plane monochromatic electromagnetic waves in a dielectric medium with an array of spherical inclusions. The results of calculation are investigated in a wide region of the volume concentrations of inclusions and frequencies of the exciting ...
Kanaun, S. K., Jeulin, D.
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Electromagnetic Symmetric Hybrid Wave Propagation Problem in a Medium with Arbitrary Nonlinear Saturation

2019 Photonics & Electromagnetics Research Symposium - Fall (PIERS - Fall), 2019
The paper treats a problem of propagation of electromagnetic symmetric hybrid wave in a plane non-homogeneous nonlinear dielectric waveguide. The physical problem is reduced to a nonlinear transmission eigenvalue problem for Maxwell’s equations with appropriate boundary and transmission conditions.
V. Yu. Martynova, D. V. Valovik
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Problem of Coupled Electromagnetic TE-TE Wave Propagation in a Layer Filled with Nonlinear Medium with Saturation

Lobachevskii Journal of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurseeva, V. Yu., Smirnov, Yu. G.
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