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

Andrey V. Gorbach, Edouard Ivanov

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Abstract

We present perturbation theory for analysis of generic third-order nonlinear processes in graphene-integrated photonic structures. The optical response of graphene is treated as the nonlinear boundary condition in Maxwell's equations. The derived models are applied for analysis of third-harmonic generation in a graphene-coated dielectric microfiber. An efficiency of up to a few percent is predicted when using subpicosecond pump pulses with energies of the order of 0.1 nJ in a submillimeter-long fiber when operating near the resonance of the graphene nonlinear conductivity ℏω=(2/3)EF.
Original languageEnglish
Article number013811
Pages (from-to)1-10
Number of pages10
JournalPhysical Review A
Volume94
Issue number1
Early online date6 Jul 2016
DOIs
Publication statusPublished - 31 Jul 2016

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