Guided Plasmon Modes of a Graphene-Coated Kerr Slab

Hajian, Hodjat; Rukhlenko, Ivan D.; Leung, Pui-Tak Peter; Çağlayan, Hümeyra; Özbay, Ekmel

doi:10.1007/s11468-015-0104-2

Cited by 26 publications

(24 citation statements)

References 30 publications

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“…The magnitudes of these components are related to each other through the function F, viz., E jz ≈ F(a) E jx for a = ε j |E jx | 2 , which describes the elliptization of the SP polarization due to the Kerr nonlinearity of the dielectric. For this particular case, the dispersion relation of the SP is studied in [28,34]. Accordingly, for k i x = 0, formulas (25) of our analysis reduce to the relation between E 1z and E 1x found in [28,34].…”

Section: Tm-polarized Surface Plasmonmentioning

confidence: 83%

“…For this particular case, the dispersion relation of the SP is studied in [28,34]. Accordingly, for k i x = 0, formulas (25) of our analysis reduce to the relation between E 1z and E 1x found in [28,34]. Now let us further discuss the effect of dissipation (k i x 0).…”

Section: Tm-polarized Surface Plasmonmentioning

confidence: 86%

“…In contrast to the case of TE-polarized SPs, the analytical investigation of TM-polarized SPs is deemed as complicated: This case is described by a system of coupled differential equations for two electric field components which have a nonzero phase difference. The simplest scenario of solution arises when the electric field components have a phase difference equal to π/2 [28,34]. In this special case, which we show corresponds to no dissipation, the SP dispersion relation has been derived analytically, since the resulting system of differential equations is integrable [38].…”

Section: Introductionmentioning

confidence: 99%

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Nonperturbative nonlinear effects in the dispersion relations for TE and TM plasmons on two-dimensional materials

2018

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We analytically obtain the dispersion relations for transverse-electric (TE) and transverse-magnetic (TM) surface plasmon-polaritons in a nonlinear two-dimensional (2D) conducting material with inversion symmetry lying between two Kerr-type dielectric media. To this end, we use Maxwell's equations within the quasielectrostatic, weakly dissipative regime. We show that the wavelength and propagation distance of surface plasmons decrease due to the nonlinearity of the surrounding dielectric. In contrast, the effect of the nonlinearity of the 2D material depends on the signs of the real and imaginary parts of the third-order conductivity. Notably, the dispersion relations obtained by naively replacing the permittivity of the dielectric medium by its nonlinear counterpart in the respective dispersion relations of the linear regime are not accurate. We apply our analysis to the case of doped graphene and make predictions for the TM-polarized surface plasmon wavelength and propagation distance. arXiv:1808.01534v2 [cond-mat.mes-hall]

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Section: Tm-polarized Surface Plasmonmentioning

confidence: 83%

Section: Tm-polarized Surface Plasmonmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

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Nonperturbative nonlinear effects in the dispersion relations for TE and TM plasmons on two-dimensional materials

2018

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“…In addition, 'designer waveguides' can be engineered by using different waveguide configurations around the Kerr medium. For example, in parallel-plate graphene plasmonic waveguides, one could select either linear or nonlinear materials for each of the bounding media, and the nonlinear propagation characteristics vary with the configuration of the waveguide [116,118]. However, the analyses of these waveguides are not complete due to graphene's high nonlinearity, which would certainly overshadow the effects from the dielectric Kerr nonlinearities.…”

Section: Nonlinear Graphene Plasmonics (A) Nonlinear Graphene Plasmonmentioning

confidence: 99%

Nonlinear graphene plasmonics

Ooi

Tan

2017

Proc. R. Soc. A.

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The rapid development of graphene has opened up exciting new fields in graphene plasmonics and nonlinear optics. Graphene's unique twodimensional band structure provides extraordinary linear and nonlinear optical properties, which have led to extreme optical confinement in graphene plasmonics and ultrahigh nonlinear optical coefficients, respectively. The synergy between graphene's linear and nonlinear optical properties gave rise to nonlinear graphene plasmonics, which greatly augments graphene-based nonlinear device performance beyond a billion-fold. This nascent field of research will eventually find far-reaching revolutionary technological applications that require device miniaturization, low power consumption and a broad range of operating wavelengths approaching the far-infrared, such as optical computing, medical instrumentation and security applications.

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“…As a plasmonic material, graphene offers such intriguing properties as crystalline stability 5 , large optical nonlinearities 6–8 and extremely high electromagnetic field concentration 9 . Recent demonstrations of surface plasmon polariton (SPP) excitation in graphene using near-field scattering of infrared light 10 , with all-optical mechanisms 11 , and by structure patterning 12,13 have received intense interests.…”

Section: Introductionmentioning

confidence: 99%

Tailoring far-infrared surface plasmon polaritons of a single-layer graphene using plasmon-phonon hybridization in graphene-LiF heterostructures

Hajian

Serebryannikov

Ghobadi

et al. 2018

Sci Rep

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Being one-atom thick and tunable simultaneously, graphene plays the revolutionizing role in many areas. The focus of this paper is to investigate the modal characteristics of surface waves in structures with graphene in the far-infrared (far-IR) region. We discuss the effects exerted by substrate permittivity on propagation and localization characteristics of surface-plasmon-polaritons (SPPs) in single-layer graphene and theoretically investigate characteristics of the hybridized surface-phonon-plasmon-polaritons (SPPPs) in graphene/LiF/glass heterostructures. First, it is shown how high permittivity of substrate may improve characteristics of graphene SPPs. Next, the possibility of optimization for surface-phonon-polaritons (SPhPs) in waveguides based on LiF, a polar dielectric with a wide polaritonic gap (Reststrahlen band) and a wide range of permittivity variation, is demonstrated. Combining graphene and LiF in one heterostructure allows to keep the advantages of both, yielding tunable hybridized SPPPs which can be either forwardly or backwardly propagating. Owing to high permittivity of LiF below the gap, an almost 3.2-fold enhancement in the figure of merit (FoM), ratio of normalized propagation length to localization length of the modes, can be obtained for SPPPs at 5–9 THz, as compared with SPPs of graphene on conventional glass substrate. The enhancement is efficiently tunable by varying the chemical potential of graphene. SPPPs with characteristics which strongly differ inside and around the polaritonic gap are found.

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Guided Plasmon Modes of a Graphene-Coated Kerr Slab

Cited by 26 publications

References 30 publications

Nonperturbative nonlinear effects in the dispersion relations for TE and TM plasmons on two-dimensional materials

Nonperturbative nonlinear effects in the dispersion relations for TE and TM plasmons on two-dimensional materials

Nonlinear graphene plasmonics

Tailoring far-infrared surface plasmon polaritons of a single-layer graphene using plasmon-phonon hybridization in graphene-LiF heterostructures

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