Combined plasmon-resonance and photonic-jet effect in the THz wave scattering by dielectric rod decorated with graphene strip

Dukhopelnykov, Sergii V.; Sauleau, Ronan; Garcia-Vigueras, María; Nosich, Alexander I.

doi:10.1063/1.5093674

Cited by 28 publications

(8 citation statements)

References 30 publications

(49 reference statements)

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“…As known, a strip of graphene can be considered as a plasmon surface wave Fabry-Perot resonator [12,16,21].…”

Section:    mentioning

confidence: 99%

“…Both flat and curved graphene strips attract attention today as easily fabricated tunable components of plasmonic antennas, waveguides, and sensors [11][12][13][14][15]. Recently, in [16] it was shown that a resonance graphene strip placed into the EMJ area of a circular dielectric rod enhances greatly the near field without increasing the radius or refractive index. Guided by the reciprocity principle, in this work we consider the radiation a THz range line magnetic current in the presence of a circular dielectric rod, decorated with a conformal strip of graphene.…”

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confidence: 99%

“…In our analysis, we use the technique of [16], extensively validated there and adapted here to the line current excitation.…”

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confidence: 99%

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Circular Dielectric Rod With Conformal Strip of Graphene as Tunable Terahertz Antenna: Interplay of Inverse Electromagnetic Jet, Whispering Gallery and Plasmon Effects

Dukhopelnykov¹,

Lucido

Sauleau

et al. 2021

IEEE J. Select. Topics Quantum Electron.

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We consider the radiation characteristics of a THz antenna made of a circular dielectric rod decorated with conformal graphene strip and illuminated by the field of a line magnetic current. The strip has arbitrary angular size and location and its surface impedance is characterized with Kubo theory. Our mathematically accurate analysis uses a dedicated hypersingular integral equation for the current induced on the strip. Discretization of this equation is carried out by the Nystrom-type method, which has a guaranteed convergence. We study the dependences of the powers radiated and absorbed in this configuration and also the directivity of antenna emission, in wide frequency range from 0 to 10 THz. They show very interesting interplay between the broadband inverse photonic-jet effect of lens-like dielectric rod and two types of resonances: on the moderate-Q plasmon modes of graphene strip and on the extremely high-Q whispering-gallery modes of the circular rod. Index Terms-circular dielectric rod, graphene strip, line current, integral equation, plasmon, inverse photonic jet I. INTRODUCTION OTH in THz and shorter frequency ranges, a ubiquitous element of almost every sensor is an integrated lens antenna, which concentrates the incoming electromagnetic waves on a miniature receiving circuit. Perhaps, the simplest design of a lens is a uniform optically transparent sphere or, in two-dimensional (2-D) case, circular cylinder, or rod. This is because such a sphere or a rod produces a remarkable near-field phenomenon, which at first obtained the name "nanojet" and later became known as "photonic jet" [1][2]. In fact, it should be, probably, called "electromagnetic jet" (EMJ), because this phenomenon can be found in all frequency ranges, if only the relative dielectric permittivity of sphere or rod is 4   and its radius is 2 R   , where  is the freespace wavelength [1,2]. If the radius gets larger, EMJ Manuscript received March 31, 2020.

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“…As known, a strip of graphene can be considered as a plasmon surface wave Fabry-Perot resonator [12,16,21].…”

Section:    mentioning

confidence: 99%

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confidence: 99%

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Circular Dielectric Rod With Conformal Strip of Graphene as Tunable Terahertz Antenna: Interplay of Inverse Electromagnetic Jet, Whispering Gallery and Plasmon Effects

Dukhopelnykov¹,

Lucido

Sauleau

et al. 2021

IEEE J. Select. Topics Quantum Electron.

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“…In (38)-(39) symbol δ qp is the Kronecker delta. Taking into account (35), (38) from equation (27) we obtain:…”

Section: Systems Of Integral Equationsmentioning

confidence: 99%

Discrete mathematical model of the scattering process of E-polarized wave on a periodic impedance grating

2019

MAMM

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The method of numerical modeling of wave scattering by periodic impedance grating is considered. In the case of a harmonic dependence of the field on time and the uniformity of the structure along a certain axis, the three-dimensional problem reduces to considering of two 2D problems for the components of the E-polarized and H-polarized waves. The signle nonzero component of the electric field created by the incident E-polarized wave is the solution of the boundary value problem for the Helmholtz equation with Robin boundary conditions. It follows from the physical formulation of the problem that its solutions satisfy the Floquet quasiperiodicity condition, the condition of finiteness of energy in any bounded region of the plane. Also, the difference between the total and incident fields satisfies the Sommerfeld radiation condition. Following the ideas of the works of Yu.V. Gandel, using the method of parametric representations of integral operators, the boundary-value problem reduces to two systems of integral equations. The first one is the system of singular equations of the first kind with additional integral conditions. The second system consists of the Fredholm boundary integral equations of the second kind with a logarithmic singularity in the integrand. A discrete model for various values of the discretization parameter is equivalent to systems of singular integral equations. By solving these equations, approximate values of the main field characteristics are determined. The method of parametric representations of integral operators makes it possible to obtain systems of integral equations of other types. In particular, the initial boundary-value problem reduces to a system consisting of hypersingular integral equations of the second kind and the Fredholm integral equation of the second kind. A numerical experiment was conducted for cases of different location of tapes. Calculations were performed for the proposed model and the model based on hypersingular equations. They showed the closeness of the obtained results in a wide range of parameters studied.

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“…Then the electrical conductivity model developed for infinite graphene surfaces can be used, supplemented with the condition of local power finiteness. Besides, in the THz frequency range, graphene conductivity can be considered isotropic since the characteristic size of the hexagonal structure of graphene is about 10 nm [34]. In the absence of magnetostatic doping and in the considered frequency range, graphene conductivity σ can be expressed in the form of scalar function of frequency f, chemical potential μ c , electron relaxation time τ, and temperature T. It can be obtained from the Kubo formalism [5].…”

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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Combined plasmon-resonance and photonic-jet effect in the THz wave scattering by dielectric rod decorated with graphene strip

Cited by 28 publications

References 30 publications

Circular Dielectric Rod With Conformal Strip of Graphene as Tunable Terahertz Antenna: Interplay of Inverse Electromagnetic Jet, Whispering Gallery and Plasmon Effects

Circular Dielectric Rod With Conformal Strip of Graphene as Tunable Terahertz Antenna: Interplay of Inverse Electromagnetic Jet, Whispering Gallery and Plasmon Effects

Discrete mathematical model of the scattering process of E-polarized wave on a periodic impedance grating

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

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