Perturbation theory for graphene-integrated waveguides: Cubic nonlinearity and third-harmonic generation

Gorbach, Andrey V.; Ivanov, E. I.

doi:10.1103/physreva.94.013811

Cited by 13 publications

(10 citation statements)

References 33 publications

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“…We follow the standard approach (see, e.g. [65]) and take E k eff ( ) to be the average of the fields above and below the 2D layer,…”

Section: Suspended 2d Layermentioning

confidence: 99%

“…It has been pointed out that for weakly coupled 2D layers the atomic spacing between the layers should guarantee coherent radiation from the layers [8,60]. Despite many investigations using standard software [22,61,62], and nonlinear boundary conditions [63][64][65][66], there is still no systematic treatment of the response of graphene, taking into account its 2D nature, which could later be generalized to treat multilayer samples.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear optics of graphene and other 2D materials in layered structures

et al. 2018

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We present a theoretical framework for nonlinear optics of graphene and other 2D materials in layered structures. We derive a key equation to find the effective electric field and the sheet current density in the 2D material for given incident light beams. Our approach takes into account the effect of the surrounding environment and characterizes its contribution as a structure factor. We apply our approach to two experimental setups, and discuss the structure factors for several nonlinear optical processes including second harmonic generation, third harmonic generation, and parametric frequency conversion. Our systematic study gives a strict extraction method for the nonlinear coefficients, and provides new insights in how layered structures influence the nonlinear signal observed from 2D materials.

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“…We follow the standard approach (see, e.g. [65]) and take E k eff ( ) to be the average of the fields above and below the 2D layer,…”

Section: Suspended 2d Layermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear optics of graphene and other 2D materials in layered structures

et al. 2018

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“…The linear band structure of graphene has been identified as the origin of the exceptionally strong nonlinear optical response of graphene [33]. Third-order nonlinearities are found to be remarkably strong in single-layer graphene [34][35][36], with * mazs@pku.edu.cn † czhang@uow.edu.au nonlinear susceptibilities several orders of magnitude above those of transparent materials and of the same order as in other resonant materials such as metal nanoparticles. Higherorder harmonic generation (HHG) in single-layer graphene has also been reported recently.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear optical response of the α−T3 model due to the nontrivial topology of the band dispersion

Chen

Zuber

et al. 2019

Phys. Rev. B

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2019). Nonlinear optical response of the alpha-T-3 model due to the nontrivial topology of the band dispersion. Physical Review B, 100 (3), 035440-1-035440-16. Nonlinear optical response of the alpha-T-3 model due to the nontrivial topology of the band dispersion AbstractWe study the electronic contribution to the nonlinear optical response of the α-T3 model. This model is an interpolation between a graphene (α = 0) and dice (α = 1) lattice. Using a second-quantized formalism, we calculate the first-and third-order responses for a range of α and chemical potential values as well as considering a band gap in the first-order case. Conductivity quantization is observed for the first-order, while higher-order harmonic generation is observed in the third-order response with the chemical potential determining which applied field frequencies both quantization and harmonic generation occur at. We observe a range of experimentally accessible critical fields between 102-106 V/m with dynamics depending on α, μ, and the applied field frequency. Our results suggest an α-T3-like lattice could be an ideal candidate for use in terahertz devices.We study the electronic contribution to the nonlinear optical response of the α-T 3 model. This model is an interpolation between a graphene (α = 0) and dice (α = 1) lattice. Using a second-quantized formalism, we calculate the first-and third-order responses for a range of α and chemical potential values as well as considering a band gap in the first-order case. Conductivity quantization is observed for the first-order, while higher-order harmonic generation is observed in the third-order response with the chemical potential determining which applied field frequencies both quantization and harmonic generation occur at. We observe a range of experimentally accessible critical fields between 10 2 -10 6 V/m with dynamics depending on α, μ, and the applied field frequency. Our results suggest an α-T 3 -like lattice could be an ideal candidate for use in terahertz devices.

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“…In recent years, nonlinear optical properties of graphene have attracted much attention because recent investigations have shown that the third-order nonlinear optical response of the single-atom-layer graphene is particularly strong [1][2][3][4][5]. Many studies have focused on such an aspect, such as saturable absorption [6][7][8][9][10][11], optical limiting [12,13], two-photon absorption [14], four-wave mixing (FWM) [1,15,16], and third-harmonic (TH) generation [17][18][19][20][21][22][23][24]. This allows one to employ graphene in active photonic devices with improved functionality [3,18,19].…”

Section: Introductionmentioning

confidence: 99%

Improved third-order nonlinear effect in graphene based on bound states in the continuum

Wang

Zhang

2017

Photon. Res.

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The scattering matrix theory has been developed to calculate the third-order nonlinear effect in sphere-grapheneslab structures. By designing structural parameters, we have demonstrated that the incident electromagnetic wave can be well confined in the graphene in these structures due to the formation of a bound state in the continuum (BIC) of radiation modes. Based on such a bound state, third-harmonic (TH) generation and four-wave mixing (FWM) have been studied. It is found that the efficiency of TH generation in monolayer graphene can be enhanced about 7 orders of magnitude. It is interesting that we can design structure parameters to make all beams (the pump beam, probe beam, and generated FWM signal) be BICs at the same time. In such a case, the efficiency of FWM in monolayer graphene can be enhanced about 9 orders of magnitude. Both the TH and FWM signals are sensitive to the wavelength, and possess high Q factors, which exhibit very good monochromaticity. By taking suitable BICs, the selective generation of TH and FWM signals for Sand P-polarized waves can also be realized, which is beneficial for the design of optical devices.

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Perturbation theory for graphene-integrated waveguides: Cubic nonlinearity and third-harmonic generation

Cited by 13 publications

References 33 publications

Nonlinear optics of graphene and other 2D materials in layered structures

Nonlinear optics of graphene and other 2D materials in layered structures

Nonlinear optical response of the α−T3 model due to the nontrivial topology of the band dispersion

Improved third-order nonlinear effect in graphene based on bound states in the continuum

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