Integral Equation Analysis of Terahertz Backscattering From Circular Dielectric Rod With Partial Graphene Cover

Dukhopelnykov, Sergii V.; Sauleau, Ronan; Nosich, Alexander I.

doi:10.1109/jqe.2020.3015482

Cited by 30 publications

(12 citation statements)

References 38 publications

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“…Ганделя метод параметричного подання інтегральних перетворень, неодноразово використовувався для побудов математичних моделей різних процесів електродинаміки [1][2][3]. Цей метод дозволяє зводити розв'язання крайових задач дифракції до знаходження розв'язків систем сингулярних або гіперсингулярних рівнянь [4][5][6][7][8]. Наближені розв'язки цих рівнянь знаходяться за допомогою однієї з модифікацій методу дискретних особливостей [9][10][11].…”

Section: вступunclassified

Mathematical Model of Wave Diffraction by the System of Stripes With Different Values of Surface Impedance

Dushkin

Мельник

2021

JNAM

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A mathematical model of diffraction of E-polarized and H-polarized waves on a finite system of not perfectly conducting tapes is obtained. The value of the surface impedance on the two sides of the stripes is different. The initial boundary value problem for the Helmholtz equation with boundary conditions of the third kind was reduced to a system of boundary integral equations. This system of boundary integral equations consists of singular integral equations of the first kind and integral equations of the second kind with a logarithmic singularity. The method of parametric representation of integral operator was used to perform transformations. The values of the physical characteristics of the process are expressed through the solutions of the obtained systems of integral equations. Numerical solution of these equations is performed using a computational scheme based on the discrete singularities method.

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Section: вступunclassified

Mathematical Model of Wave Diffraction by the System of Stripes With Different Values of Surface Impedance

Dushkin

Мельник

2021

JNAM

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“…Single graphene strip and its sensing properties are studied in [11] and sensing properties of a system of graphene strips with substrate are studied in [12,13]. Resonant properties of a single graphene strip located on a circular dielectric rod are analysed in [14] with the aid of the singular integral equation (SIE) and fully graphene covered rods in [15] with boundary integral equation. Plasmon resonances of finite and infinite graphene strip gratings in vacuum under normal and inclined incidence are considered in [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

“…Approximate techniques can describe only basic physical effects in much less computation time [8,29]. In contrast, rigorous meshless methods such as SIEs combined with the method of analytical regularisation (MAR), regularising Galerkin MoM or Nystrom discretisation provide results with controllable accuracy up to machine precision within a reasonable time [7,11,14,17,19,20,30].…”

Section: Introductionmentioning

confidence: 99%

Excitation of guided waves of grounded dielectric slab by a THz plane wave scattered from finite number of embedded graphene strips: Singular integral equation analysis

Калиберда

Lytvynenko

Pogarsky

et al. 2021

IET Microwaves Antenna & Prop

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The scattering and absorption of the H-polarised wave by a finite number of graphene strips embedded into a grounded dielectric slab is considered in the terahertz frequency range. The rigorous and efficient method of singular integral equations is used here. The discretisation is based on the convergent meshless Nystrom-type algorithm. Graphene is modelled as a zero thickness layer with a complex conductivity obtained from the Kubo formalism. Dependences of the total scattering cross section, including the part that is associated with dielectric slab guided waves, and absorption cross section as well as near field patterns are studied. The behaviour of the scattering and absorption characteristics is explained in terms of resonances on the natural modes supported by the studied structure. Special attention is paid to the excitation of the dielectric waveguide eigenwaves near the grating-mode resonances.This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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“…Another alternative is meshless rigorous techniques such as methods of singular integral equations (SIEs) with Nystrom discretization [27,28,29,30,31] or method of analytical regularization [32]. They provide a controlled accuracy within a reasonable computation time.…”

Section: Introductionmentioning

confidence: 99%

Singular Integral Equations in Scattering of Planar Dielectric Waveguide Eigenwaves by the System of Graphene Strips at THz

2021

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Integral Equation Analysis of Terahertz Backscattering From Circular Dielectric Rod With Partial Graphene Cover

Cited by 30 publications

References 38 publications

Mathematical Model of Wave Diffraction by the System of Stripes With Different Values of Surface Impedance

Mathematical Model of Wave Diffraction by the System of Stripes With Different Values of Surface Impedance

Excitation of guided waves of grounded dielectric slab by a THz plane wave scattered from finite number of embedded graphene strips: Singular integral equation analysis

Singular Integral Equations in Scattering of Planar Dielectric Waveguide Eigenwaves by the System of Graphene Strips at THz

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