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Recent investigations on optical nonlinearities of plasmonic materials suggest their responses may be even beyond the usual perturbative description. To better understand these surprisingly strong responses, we develop here a simple but…

Optics · Physics 2021-01-04 Mikko J. Huttunen , Jussi Kelavuori , Marco Ornigotti

We use a quantum-dynamical model to investigate the optical response of graphene under low excitation power. Ultrafast carrier relaxation processes, which play an important role for understanding the optical response of graphene, are…

Mesoscale and Nanoscale Physics · Physics 2011-06-27 Zheshen Zhang , Paul L. Voss

We develop a microscopic large-$N$ theory of electron-electron interaction corrections to multi-legged Feynman diagrams describing second- and third-order nonlinear response functions. Our theory, which reduces to the well-known random…

Materials Science · Physics 2017-01-25 Habib Rostami , Mikhail I. Katsnelson , Marco Polini

Graphene has recently been shown to possess giant nonlinearity; however, the utility of this nonlinearity is limited due to high losses and small interaction volume. We show that by performing waveguide engineering to graphene's…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Kelvin J. A. Ooi , Lay Kee Ang , Dawn T. H. Tan

The nonlinear optical and optoelectronic properties of graphene with the emphasis on the processes of harmonic generation, frequency mixing, photon drag and photogalvanic effects as well as generation of photocurrents due to coherent…

Mesoscale and Nanoscale Physics · Physics 2014-02-04 M. M. Glazov , S. D. Ganichev

An electromagnetic response of a single graphene layer to a uniform, arbitrarily strong electric field $E(t)$ is calculated by solving the kinetic Boltzmann equation within the relaxation-time approximation. The theory is valid at low…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 S. A. Mikhailov

Here, we theoretically investigate the nonreciprocal response of an electrically biased graphene-coated dielectric fiber. By electrically biasing the graphene coating along the fiber axis, the dynamic conductivity of graphene exhibits a…

Optics · Physics 2024-11-22 Asma Fallah , Nader Engheta

We present a general formulation to calculate the dynamic optical conductivity, beyond the linear response regime, of any electronic system whose quasiparticle dispersion is described by a two band model. Our phenomenological model is based…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Ashutosh Singh , Tuhina Satpati , Kirill I. Bolotin , Saikat Ghosh , Amit Agarwal

Under strong laser illumination, few-layer graphene exhibits both a transmittance increase due to saturable absorption and a nonlinear phase shift. Here, we unambiguously distinguish these two nonlinear optical effects and identify both…

We provide a justification with rigorous error estimates showing that the leading term in weakly nonlinear geometric optics expansions of highly oscillatory reflecting pulses is close to the uniquely determined exact solution for small…

Analysis of PDEs · Mathematics 2013-04-22 Jean-Francois Coulombel , Mark Williams

We compute the nonlinear optical response of doped mono- and bilayer graphene using the full dispersion based on tight-binding models. The response is derived with the density matrix formalism using the length gauge and is valid for any…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 F. Hipolito , Alireza Taghizadeh , T. G. Pedersen

The linear energy dispersion of graphene electrons leads to a strongly nonlinear electromagnetic response of this material. We develop a general quantum theory of the third-order nonlinear local dynamic conductivity of graphene…

Mesoscale and Nanoscale Physics · Physics 2016-02-04 S. A. Mikhailov

Graphene has emerged as a promising platform to bring nonlinear quantum optics to the nanoscale, where a large intrinsic optical nonlinearity enables long-lived and actively tunable plasmon polaritons to strongly interact. Here we…

The ability of graphene to support long-lived, electrically tunable plasmons that interact strongly with light, combined with its highly nonlinear optical response, has generated great expectations for application of the atomically-thin…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Joel D. Cox , Iván Silveiro , F. Javier García de Abajo

It is shown that the massless energy spectrum of electrons and holes in graphene leads to the strongly non-linear electromagnetic response of this system. We predict that the graphene layer, irradiated by electromagnetic waves, emits…

Mesoscale and Nanoscale Physics · Physics 2007-07-24 S. A. Mikhailov

We present the first experimental investigation of nonlinear optical properties of graphene flakes. We find that at near infrared frequencies a graphene monolayer exhibits a remarkably high third-order optical nonlinearity which is…

Materials Science · Physics 2011-01-13 E. Hendry , P. J. Hale , J. J. Moger , A. K. Savchenko , S. A. Mikhailov

High-frequency stability is crucial for the performance of graphene resonators in sensing and timekeeping applications. However, the extreme miniaturization and high mechanical compliance that make graphene attractive also render it highly…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Enise Kartal , Oriel Shoshani , Elena Botnaru , Alberto Martín-Pérez , Tomás Manzaneque , Farbod Alijani

Deeply sub-wavelength two-dimensional films may exhibit extraordinarily strong nonlinear effects. Here we show that 2D films exhibit the remarkable property of a phase-controllable nonlinearity, i.e., the amplitude of the nonlinear…

Nonperturbative approach based on exact solution of Boltzmann kinetic equation in the relaxation time approximation is developed for the study of nonlinear response of electron-doped few-layer graphene to a high-frequency electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2020-03-06 D. V. Fil

We consider the linear and nonlinear response of a weighted graphene sheet under the normal incidence of a plane electromagnetic wave in the form of a quasi-monochromatic pulse of long duration with a sharp edge and harmonic filling. The…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Michael V. Davidovich