2013
DOI: 10.1088/2040-8978/15/11/114008
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Analytical solution for the diffraction of an electromagnetic wave by a graphene grating

Abstract: Abstract. An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions for reflection, transmission, absorption and transformation coefficients in arbitrary diffraction orders are presented. The dispersion relation and decay rates for graphene plasmons of the grating are found. Simple analytical expressions for the value of the band gap… Show more

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Cited by 60 publications
(51 citation statements)
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“…Such coupling of radiation into graphene plasmons has already been shown both theoretically 27,28 and experimentally. 29 Alternatively, other works have shown coupling through relief corrugations or subwavelength gratings on which graphene is placed, [30][31][32][33][34] as well as patterned graphene structures including 1D arrays of micro-ribbons 13,35 and 2D arrangements of islands. 25,[36][37][38] In order to achieve a periodic doping in the graphene, the sheet can be biased with the spatially periodic electrostatic field generated by a periodically corrugated plane, either metallic or dielectric (see Fig.…”
Section: Graphene With 1d Conductivity Modulationmentioning
confidence: 99%
“…Such coupling of radiation into graphene plasmons has already been shown both theoretically 27,28 and experimentally. 29 Alternatively, other works have shown coupling through relief corrugations or subwavelength gratings on which graphene is placed, [30][31][32][33][34] as well as patterned graphene structures including 1D arrays of micro-ribbons 13,35 and 2D arrangements of islands. 25,[36][37][38] In order to achieve a periodic doping in the graphene, the sheet can be biased with the spatially periodic electrostatic field generated by a periodically corrugated plane, either metallic or dielectric (see Fig.…”
Section: Graphene With 1d Conductivity Modulationmentioning
confidence: 99%
“…Graphene patch arrays of cross shapes [16] and square shapes [17] have also been demonstrated for absorption enhancement. In addition, graphene can be used together with other structures, such as gratings and photonic crystals to enhance its absorption [18][19][20][21][22][23][24][25]. For example, Gao et al [26] and Zhan et al [27] utilized a dielectric surface-relief grating to excite the surface plasmon wave in graphene, which also enhanced graphene absorption.…”
Section: Introductionmentioning
confidence: 99%
“…In this paper, we suggest and study analytically an approach for the second-harmonic (SH) generation in double-layer graphene waveguides taking advantage of the possibility to modulate spatially the conductivity of one of the graphene layers by doping or electrostatic gating [16][17][18] thus assisting the coupling of freely propagating light to plasmons in graphene [19][20][21][22].…”
Section: Introductionmentioning
confidence: 99%