Search Results - "Smirnov, Yu. G."
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On the Existence of an Infinite Spectrum of Damped Leaky TE-Polarized Waves in an Open Inhomogeneous Cylindrical Metal–Dielectric Waveguide Coated with a Graphene Layer
Published in Differential equations (01-09-2023)“…We consider the problem of leaky waves in an inhomogeneous waveguide structure covered with a layer of graphene, which is reduced to a boundary value problem…”
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Method of Y-Mappings for Study of Multiparameter Nonlinear Eigenvalue Problems
Published in Computational mathematics and mathematical physics (2022)“…For the study of nonlinear multiparameter eigenvalue problems, a method of Y -mappings, making it possible to prove the existence of solutions, is proposed…”
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Integral Dispersion Equation Method in the Problem on Nonlinear Waves in a Circular Waveguide
Published in Differential equations (01-10-2021)“…We study TE-polarized electromagnetic waves propagating in an inhomogeneous dielectric waveguide of circular cross-section filled with a nonlinear medium where…”
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On the Existence of Nonlinear Coupled Surface TE and Leaky TM Electromagnetic Waves in a Circular Cylindrical Waveguide
Published in Technical physics (01-06-2022)“…In this article, we report research data on the propagation of coupled surface TE and leaky TM polarized electromagnetic waves in a Goubau line (an perfectly…”
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On the Ability of TE- and TM-waves Propagation in a Dielectric Layer Covered with Nonlinear Graphene
Published in Lobachevskii journal of mathematics (01-11-2023)“…The paper focuses on the problems of monochromatic terahertz TE- and TM-polarized waves propagation in a plane dielectric layer covered with a layer of…”
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On the Fredholm Property and Solvability of a System of Integral Equations in the Transmission Problem for the Helmholtz Equation
Published in Differential equations (01-08-2023)“…A scalar three-dimensional boundary value problem of wave diffraction for the Helmholtz equation with transmission conditions that assume the presence of an…”
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Coupled electromagnetic TE-TE wave propagation in nonlinear layer with saturated nonlinearity
Published in Journal of modern optics (15-12-2019)“…We present an analysis of propagation of coupled electromagnetic TE-TE waves in a nonlinear plane waveguide located between two half-spaces with constant…”
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A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings
Published in Differential equations (01-03-2023)“…A method is proposed for optimizing the diffraction efficiency of multilayer dielectric gratings in the problem of spectral addition of signals in a wide range…”
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Integral Dispersion Equation Method for Nonlinear Eigenvalue Problems
Published in Differential equations (01-10-2020)“…An application of the integral dispersion equation method to the solution of two nonlinear eigenvalue problems is considered. One of these problems arises when…”
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Numerical and Analytical Study of the Problem of Electromagnetic Oscillations in Open Inhomogeneous Resonators
Published in Differential equations (01-09-2022)“…The properties of the resonant frequency spectrum in the problem on the oscillations of 3D magnetodielectric resonators are studied. A theorem on the…”
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The Method of Integral Variational Relations in the Problem of Eigenwaves of a Plane Dielectric Layer Coated with Graphene
Published in Lobachevskii journal of mathematics (01-09-2023)“…The problem of propagation of electromagnetic waves in a inhomogeneous dielectric layer coated on one side with a layer of graphene, which is considered to be…”
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Investigation of the Spectrum of the Problem of Normal Waves in a Closed Regular Inhomogeneous Dielectric Waveguide of Arbitrary Cross Section
Published in Doklady. Mathematics (2018)“…The problem of normal waves in a closed (screened) regular waveguide of arbitrary cross section is considered. It is reduced to a boundary value problem for…”
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Uniqueness and Existence Theorems for the Problems of Electromagnetic-Wave Scattering by Three-Dimensional Anisotropic Bodies in Differential and Integral Formulations
Published in Computational mathematics and mathematical physics (2021)“…Uniqueness theorems for the Maxwell’s equations and existence and uniqueness theorems for the volume singular integral equations in the problems of…”
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Uniqueness and Existence Theorems for Solving Problems of Scattering Electromagnetic Waves by Anisotropic Bodies
Published in Doklady. Mathematics (2021)“…Theorems on the uniqueness and existence of solutions to problems of scattering electromagnetic waves by bounded three-dimensional inhomogeneous anisotropic…”
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Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide
Published in Differential equations (01-10-2017)“…We consider the problem on normal waves in an inhomogeneous waveguide structure reduced to a boundary value problem for the longitudinal components of the…”
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Solvability of the Integro-Differential Equation in the Problem of Wave Diffraction on a Junction of Rectangular Waveguides
Published in Differential equations (01-08-2020)“…We study the problem of electromagnetic wave diffraction on a junction of two rectangular waveguides. The boundary value problem for the system of Maxwell…”
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Non-iterative two-step method for solving scalar inverse 3D diffraction problem
Published in Inverse problems in science and engineering (02-10-2020)“…The scalar problem of reconstruction of an unknown refractive index of an inhomogeneous solid is considered. The original boundary value problem for the…”
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On the Existence of an Infinite Number of Leaky Complex Waves in a Dielectric Layer
Published in Doklady. Mathematics (2020)“…The problem of propagation of TE-polarized electromagnetic waves in a dielectric layer is considered. The waves existing in the structure under study are…”
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Numerical Study of Propagation of Nonlinear Coupled Surface and Leaky Electromagnetic Waves in a Circular Cylindrical Metal–Dielectric Waveguide
Published in Computational mathematics and mathematical physics (01-08-2021)“…The problem of propagation of coupled surface (TE) and leaky (TM) polarized electromagnetic waves in a Goubau line (a perfectly conducting cylinder covered…”
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On the Uniqueness of a Solution to an Inverse Problem of Scattering by an Inhomogeneous Solid with a Piecewise Hölder Refractive Index in a Special Function Class
Published in Doklady. Mathematics (01-03-2019)“…The problem of reconstructing a piecewise Hölder continuous function describing the refractive index of an inhomogeneous obstacle scattering a monochromatic…”
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