The influence of phenomenological relaxation and finite temperature on the third order nonlinearity of graphene

J. L. Cheng; N. Vermeulen; J. E. Sipe

doi:10.1117/12.2228300

27 April 2016 The influence of phenomenological relaxation and finite temperature on the third order nonlinearity of graphene

J. L. Cheng, N. Vermeulen, J. E. Sipe

Author Affiliations +

Proceedings Volume 9894, Nonlinear Optics and its Applications IV; 98941Q (2016) https://doi.org/10.1117/12.2228300
Event: SPIE Photonics Europe, 2016, Brussels, Belgium

Abstract

We investigate the effect of phenomenological relaxation parameters on the third order optical nonlinearity of doped graphene by perturbatively solving the semiconductor Bloch equation. We focus on the contributions of optical transitions around the Dirac points, where the widely used linear dispersion relation is a good approximation. An analytic expression for the nonlinear conductivity at zero temperature can be obtained even if relaxation is included. With this analytic formula as a starting point, we construct the conductivity at finite temperature; and we illustrate the dependence of several nonlinear optical effects, such as third harmonic generation, Kerr effects and two photon absorption, and parametric frequency conversion.

Citation Download Citation

J. L. Cheng, N. Vermeulen, and J. E. Sipe "The influence of phenomenological relaxation and finite temperature on the third order nonlinearity of graphene", Proc. SPIE 9894, Nonlinear Optics and its Applications IV, 98941Q (27 April 2016); https://doi.org/10.1117/12.2228300

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