Radiation behavior of planar double-layer dielectric waveguides combined with a finite metal-strip grating

Kalinichev, V. I.

doi:10.1002/(sici)1098-2760(19960205)11:2<69::aid-mop6>3.0.co;2-m

Cited by 6 publications

(5 citation statements)

References 11 publications

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“…From the radiation conditions, it follows that Reγ ≥ 0, Imγ ≥ 0. Equation ( 9) follows from that fact that currents density outside the strips is zero, μ(y) = 0, if y ∉ L. Equation (10) follows from the boundary condition on graphene strips (1).Equation (11) follows from the continuity conditions (2)- (5).…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…In a rigorous formulation, the scattering problem has the following form: the total field should satisfy the Helmholtz equation, the boundary condition (1), if z = 0 and y ∈ L, the continuity conditions in the plane of graphene strips, if…”

Section: Problem Statementmentioning

confidence: 99%

“…Planar dielectric waveguide with strips is a common scattering object for various applications such as antennas, filters, frequency-selective surfaces etc. [1][2][3]. Electrodynamic properties of such a structure mostly depend on its geometric dimensions.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Solution Of the Problemmentioning

confidence: 99%

Section: Problem Statementmentioning

confidence: 99%

See 1 more Smart Citation

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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“…By varying the chemical potential form 0 eV to certain positive value, the authors obtain radiation patterns with main lobe in perpendicular directions. In leaky-wave antennas based on the radiating periodic structures transforming the guided waves to free space waves, the elevation angle of the radiation pattern strongly depends on the period (Itoh 1977, Kalinichev 1996. It is promising to consider the multilayer stuck with different periods and to control the elevation angle of the main lobe by varying the chemical potential of strips of the layers.…”

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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“…Radiating structures based on gratings embedded into a dielectric waveguide transforming eigenwaves to free space waves are promising as low-cost, low-profile, and easy-to-fabricate elements of millimeter-wave devices such as filters or antennas with frequency scanning ability [1,2]. New materials are available today, such as graphene.…”

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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Radiation behavior of planar double-layer dielectric waveguides combined with a finite metal-strip grating

Cited by 6 publications

References 11 publications

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

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

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

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

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