Online Library. Theme: Physical and mathematical sciences (p.6)
Found: 181
Found: 181
| Title: | Numerical method for electromagnetic non-polarized symmetric hybrid wave propagation problem in a non-homogeneous media with arbitrary nonlinear saturation |
| Author: | Мартынова Валерия Юрьевна |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2019 |
| Publishing house: | IEEE Publisher |
| Title: | Numerical Method for Solving the Microwave Tomography Problem of Reconstructing Inhomogeneities in a Cylindrical Body |
| Author: | Медведик Михаил Юрьевич Мартынова Валерия Юрьевна |
| Type: | Article |
| Kind: | Electronic copy |
| Annotation: | In this work, a vector three-dimensional inverse problem of diffraction by a cylindrical body is solved based on a two-step method. The scatterer is filled with an inhomogeneous nonmagnetic dielectric material. The initial boundary value problem for the system of Maxwell’s equations is reduced to a system of integro-differential equations. A numerical method for solving the equation of the first-kind, entering into the system, in special classes of functions is described. A distinctive feature of the proposed numerical method is its non-iterative nature; in addition, a good initial approximation is not required for the two-step method for solving the inverse problem. The calculation results are presented. It is shown that the two-step method is an efficient approach to solving vector problems of microwave tomography. |
| Publication date: | 2025 |
| Publishing house: | Pleiades Publishing |
| Title: | Numerical Method for Solving the Microwave Tomography Problem of Reconstruction of Inhomogeneities in Hemispherical Body |
| Author: | Медведик Михаил Юрьевич Мартынова Валерия Юрьевна |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2025 |
| Publishing house: | Pleiades Publishing |
| Title: | Numerical solution of fractional Volterra integral equation with piecewise continuous kernel |
| Author: | Тында Александр Николаевич |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2021 |
| Publishing house: | Издательство Institute of Physics and IOP Publishing Limited |
| Title: | Numerical Study of the Spectrum of TE-Polarized Electromagnetic Waves of a Goubau Line Coated with Graphene |
| Author: | |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2023 |
| Publishing house: | MDPI |
| Title: | Numerical-analytical method for reconstructing tensor permittivity and permeability of a diaphragm in a rectangular waveguide |
| Author: | Шестопалов Юрий Викторович Деревянчук Екатерина Дмитриевна |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2016 |
| Publishing house: | Institute of Electrical and Electronics Engineers Inc |
| Title: | On a Different Vision of Kerr Law in Nonlinear Optical Waveguide Theory |
| Author: | Валовик Дмитрий Викторович Тихов Станислав Вячеславович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2023 |
| Publishing house: | MDPI |
| Title: | On a Nonlinear Eigenvalue Problem Related to the Theory of Propagation of Electromagnetic Waves |
| Author: | Валовик Дмитрий Викторович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2018 |
| Publishing house: | Springer International Publishing, Switzerland |
| Title: | On a Nonstandard Perturbation Method for Proving the Existence of Nonlinearizable Solutions in a Nonlinear Eigenvalue Problem Arising in Waveguide Theory |
| Author: | Валовик Дмитрий Викторович Дюньдяева Анна Александровна Тихов Станислав Вячеславович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2024 |
| Publishing house: | Springer |
| Title: | On Application of Collocation Method for Solv-ing Inverse Problem of Diffraction by an Inhomogeneous Solid |
| Author: | Цупак Алексей Александрович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2024 |
| Publishing house: | Springer |
| Title: | On Application of Collocation Method for Solving Inverse Problem of Diffraction by an Inhomogeneous Solid |
| Author: | Цупак Алексей Александрович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2024 |
| Publishing house: | Pleiades Publishing |
| Title: | On spectral properties of the Sturm–Liouville operator with power nonlinearity |
| Author: | Валовик Дмитрий Викторович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2019 |
| Publishing house: | Springer International Publishing, Switzerland |
| Title: | On the Ability of TE- and TM-waves Propagation in a Dielectric Layer Covered with Nonlinear Graphene |
| Author: | |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2023 |
| Publishing house: | Pleiades Publishing |
| Title: | On the Applicability Boundaries of the Pocklington and Gallen Equations in Modelling of Electric Vibrators |
| Author: | Айкашев Павел Владимирович |
| Type: | Article |
| Kind: | Electronic edition |
| Annotation: | At present, the Pocklington integro-differential equation and the Gallen integral equations are one of the main mathematical instruments used in modelling of electric vibrators with various topologies. When deriving these equations, several physical assumptions have been made. In particular, it was assumed that the current values at the ends of the vibrator are equal to zero. In this article, we determine the values of ratio “gap width/vibrator length,” for which this assumption is admissible. |
| Publication date: | 2024 |
| Publishing house: | Springer Nature Switzerland |
| Title: | On the Completeness of Normal Waves in an Inhomogeneous Partially Shielded Dielectric Layer |
| Author: | |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2021 |
| Publishing house: | Pleiades Publishing |
| Title: | On the Existence and Uniqueness of the Solution of an Integro-Differential Equation in the Problem of Diffraction of an Electromagnetic Wave by a Graphene-Coated Inhomogeneous Dielectric Body |
| Author: | |
| Type: | Article |
| Kind: | Electronic copy |
| Annotation: | Boundary value problems for the system of Maxwell’s equations are fundamental in electrodynamics. Recently, interest has arisen in problems with the presence of a thin graphene layer on the surface, which changes the field-matching conditions. In this paper, an integro-differential equation is obtained for a vector boundary value problem of diffraction of an electromagnetic wave by a graphene-coated inhomogeneous dielectric body. The existence and uniqueness of a solution of the integro-differential equation, which can be called a surface-volume equation, is proved. |
| Publication date: | 2025 |
| Publishing house: | Pleiades Publishing |
| Title: | 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 |
| Author: | |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2023 |
| Publishing house: | Pleiades Publishing |
| Title: | On the existence of infinitely many eigenvalues in a nonlinear Sturm–Liouville problem arising in the theory of waveguides |
| Author: | Мартынова Валерия Юрьевна Мартынова Валерия Юрьевна |
| Type: | Article |
| Kind: | Electronic copy |
| Annotation: | We consider a nonlinear eigenvalue problem of the Sturm–Liouville type on an interval with boundary conditions of the first kind. The problem describes the propagation of polarized electromagnetic waves in a plane two-layer dielectric waveguide. The cases of a homogeneous and an inhomogeneous medium are studied. The existence of infinitely many positive and negative eigenvalues is proved. |
| Publication date: | 2017 |
| Publishing house: | Springer |
| Title: | On the existence of infinitely many eigenvalues in a nonlinear waveguiding theory problem |
| Author: | Валовик Дмитрий Викторович Тихов Станислав Вячеславович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2018 |
| Publishing house: | Springer International Publishing, Switzerland |
| Title: | On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity |
| Author: | Валовик Дмитрий Викторович |
| Type: | Article |
| Kind: | Electronic copy |
| Publication date: | 2018 |
| Publishing house: | Elsevier Science Publishing Company, Inc. |