Free-carrier-induced nonlinear dynamics in hybrid graphene-based photonic waveguides

Abstract

We develop from first principles a theoretical model for infrared pulse propagation in graphene-covered hybrid waveguides. We model electron dynamics in graphene by Bloch equations, enabling the derivation of the nonlinear conductivity and of a rate equation accounting for free-carrier generation. Radiation propagation is modeled through a generalized nonlinear Schrödinger equation for the field envelope coupled with the rate equation accounting for the generation of free carriers in graphene. Our numerical simulations clearly indicate that unperturbed Kerr solitons accelerate due to the carrier-induced index change and experience a strong self-induced spectral blueshift. Our numerical results are fully explained by semianalytical predictions based on soliton perturbation theory.

7 pages, 4 figures, Typo error in the value of $e_0$ in page-3 subsection-B has been rectified in version 3 of the manuscript

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Cited by in corpus (1)

• Theoretical investigations on Kerr and Faraday rotations in topological multi-Weyl Semimetals