Scattering of the H-polarized plane wave by finite and semi-infinite multilayer systems of infinite graphene strip gratings in the THz range

Калиберда, М. Е.; Lytvynenko, Leonid M.; Pogarsky, S. A.

doi:10.1017/s1759078719001430

Cited by 3 publications

(1 citation statement)

References 26 publications

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“…After that the properties of the whole structure can be obtained from the Fredholm integral (or matrix) equations. In paper Kaliberda et al 2019, such an approach is used to graphene gratings in vacuum and in paper Kaliberda et al 2020 it is used to infinite periodic graphene gratings. In this paper, we develop this approach to finite number of graphene strips placed inside the dielectric slab.…”

Section: Introductionmentioning

confidence: 99%

Integral equations in the H-polarized wave scattering from metasurface formed by finite multilayer graphene strip grating inside grounded dielectric slab

Kaliberda,

Pogarsky,

Sierhieieva

2023

Opt Quant Electron

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The H-polarized waves scattering and absorption by the metasurface, which consists of multilayer grating of finite number of graphene strips inside a grounded dielectric slab is considered. The problem is formulated in the domain of Fourier transform (spectral domain). The solution is obtained in two steps. At first, the scattering operators of a single graphene grating inside the infinite dielectric medium are obtained from the singular integral equations. At the second stage, the integral equations in the operator form relatively unknown Fourier amplitudes are presented for the whole structure. The kernel-functions of these equations contain singularities at the points, which correspond to the propagation constants of the natural waves of the dielectric waveguide with perfectly electric conducting wall.To eliminate the singularities and to convert the kernel-functions to the regular ones, the regularization procedure is proposed. The approach is meshless, fullwave and convergence is guaranteed by the theorems. The numerical results for the plane wave and natural wave of corresponding dielectric waveguide with perfectly electric conducting wall incidence are presented. Special attention is paid to the excitation of the plasmon and grating-mode resonances. By taking layers with different period and chemical potential, one can control the elevation angle of the main lobe and excitation frequency of the natural waves of dielectric waveguide.

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Section: Introductionmentioning

confidence: 99%

Integral equations in the H-polarized wave scattering from metasurface formed by finite multilayer graphene strip grating inside grounded dielectric slab

Kaliberda,

Pogarsky,

Sierhieieva

2023

Opt Quant Electron

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Plasmon Mode of Plane Dielectric Waveguide With Infinite Graphene Film Scattering by Finite Number of Graphene Strips

Kaliberda,

Pogarsky,

Kaliberda

et al. 2023

2023 IEEE 4th KhPI Week on Advanced Technology (KhPIWeek)

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Integral equations in scattering by metasurface formed by multilayer graphene grating inside a grounded dielectric slab

Kaliberda,

Pogarsky,

Sierhieieva

2023

Preprint

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The H-polarized waves scattering and absorption by the metasurface, which consists of multilayer grating of finite number of graphene strips inside a grounded dielectric slab is considered. The problem is formulated in the domain of Fourier transform (spectral domain). The solution is obtained in two steps. At first, the scattering operators of a single graphene grating inside the infinite dielectric medium are obtained from the singular integral equations. At the second stage, the integral equations in the operator form relatively unknown Fourier amplitudes are presented for the whole structure. The kernel-functions of these equations contain singularities at the points, which correspond to the propagation constants of the natural waves of the dielectric waveguide with perfectly electric conducting wall. To eliminate the singularities and to convert the kernel-functions to the regular ones, the regularization procedure is proposed. The approach is meshless, full-wave and convergence is guaranteed by the theorems. The numerical results for the plane wave and natural wave of corresponding dielectric waveguide with perfectly electric conducting wall incidence are presented. Special attention is paid to the excitation of the plasmon and grating-mode resonances. By taking layers with different period and chemical potential, one can control the elevation angle of the main lobe and excitation frequency of the natural waves of dielectric waveguide.

show abstract

Scattering of the H-polarized plane wave by finite and semi-infinite multilayer systems of infinite graphene strip gratings in the THz range

Cited by 3 publications

References 26 publications

Integral equations in the H-polarized wave scattering from metasurface formed by finite multilayer graphene strip grating inside grounded dielectric slab

Integral equations in the H-polarized wave scattering from metasurface formed by finite multilayer graphene strip grating inside grounded dielectric slab

Plasmon Mode of Plane Dielectric Waveguide With Infinite Graphene Film Scattering by Finite Number of Graphene Strips

Integral equations in scattering by metasurface formed by multilayer graphene grating inside a grounded dielectric slab

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